Need help with this math question!!!!!!!!!

Need Help With This Math Question!!!!!!!!!

Answers

Answer 1

ANSWER

The vertex is (1,-3)

EXPLANATION

The given parabola has equation:

[tex] {y}^{2} + 6y + 8x + 1 = 0[/tex]

We group the variables to obtain:

[tex]{y}^{2} + 6y = - 8x - 1 [/tex]

We complete the square to get,

[tex]{y}^{2} + 6y + {3}^{2} = - 8x - 1 + {3}^{2} [/tex]

[tex] {(y+ 3)}^{2} = - 8x +8[/tex]

[tex] {(y+ 3)}^{2} = - 8(x -1)[/tex]

The vertex is of the parabola is (1,-3)

Answer 2

Answer:

(-1,-3)

Step-by-step explanation:


Related Questions

Pls help brainliest will be given

Answers

Step-by-step explanation:

according to the equation, y= mx

Part A
What is the area of triangle i? Show your calculation.

Part B
Triangles i and ii are congruent (of the same size and shape). What is the total area of triangles i and ii? Show your calculation.

Part C
What is the area of rectangle i? Show your calculation.

Part D
What is the area of rectangle ii? Show your calculation.

Part E
Rectangles i and iii have the same size and shape. What is the total area of rectangles i and iii? Show your calculation.

Part F
What is the total area of all the rectangles? Show your calculation.

Part G
What areas do you need to know to find the surface area of the prism?

Part H
What is the surface area of the prism? Show your calculation.

Part I
Read this statement: “If you multiply the area of one rectangle in the figure by 3, you’ll get the total area of the rectangles.” Is this statement true or false? Why?

Part J
Read this statement: “If you multiply the area of one triangle in the figure by 2, you’ll get the total area of the triangles.” Is this statement true or false? Why?


Answers

Answer:

Part A) The area of triangle i is [tex]3\ cm^{2}[/tex]

Part B) The total area of triangles i and ii is [tex]6\ cm^{2}[/tex]

Part C) The area of rectangle i is [tex]20\ cm^{2}[/tex]

Part D) The area of rectangle ii is [tex]32\ cm^{2}[/tex]

Part E) The total area of rectangles i and iii is [tex]40\ cm^{2}[/tex]

Part F) The total area of all the rectangles is [tex]72\ cm^{2}[/tex]

Part G) To find the surface area of the prism, we need to know only the area of triangle i and the area of rectangle i and the area of rectangle ii, because the area of triangle ii is equal to the area of triangle i and the area of rectangle iii is equal to the area of rectangle i

Part H) The surface area of the prism is [tex]78\ cm^{2}[/tex]

Part I) The statement is false

Part J) The statement is true

Step-by-step explanation:

Part A) What is the area of triangle i?

we know that

The area of a triangle is equal to

[tex]A=\frac{1}{2} (b)(h)[/tex]

we have

[tex]b=4\ cm[/tex]

[tex]h=1.5\ cm[/tex]

substitute

[tex]A=\frac{1}{2} (4)(1.5)[/tex]

[tex]Ai=3\ cm^{2}[/tex]

Part B) Triangles i and ii are congruent (of the same size and shape). What is the total area of triangles i and ii?

we know that

If Triangles i and ii are congruent

then

Their areas are equal

so

[tex]Aii=Ai[/tex]

The area of triangle ii is equal to

[tex]Aii=3\ cm^{2}[/tex]

The total area of triangles i and ii is equal to

[tex]A=Ai+Aii[/tex]

substitute the values

[tex]A=3+3=6\ cm^{2}[/tex]

Part C) What is the area of rectangle i?

we know that

The area of a rectangle is equal to

[tex]A=(b)(h)[/tex]

we have

[tex]b=2.5\ cm[/tex]

[tex]h=8\ cm[/tex]

substitute

[tex]Ai=(2.5)(8)[/tex]

[tex]Ai=20\ cm^{2}[/tex]

Part D) What is the area of rectangle ii?

we know that

The area of a rectangle is equal to

[tex]A=(b)(h)[/tex]

we have

[tex]b=4\ cm[/tex]

[tex]h=8\ cm[/tex]

substitute

[tex]Aii=(4)(8)[/tex]

[tex]Aii=32\ cm^{2}[/tex]

Part E) Rectangles i and iii have the same size and shape. What is the total area of rectangles i and iii?

we know that

Rectangles i and iii are congruent (have the same size and shape)

If rectangles i and iii are congruent

then

Their areas are equal

so

[tex]Aiii=Ai[/tex]

The area of rectangle iii is equal to

[tex]Aiii=20\ cm^{2}[/tex]

The total area of rectangles i and iii is equal to

[tex]A=Ai+Aiii[/tex]

substitute the values

[tex]A=20+20=40\ cm^{2}[/tex]

Part F) What is the total area of all the rectangles?

we know that

The total area of all the rectangles is

[tex]At=Ai+Aii+Aiii[/tex]

substitute the values

[tex]At=20+32+20=72\ cm^{2}[/tex]

Part G) What areas do you need to know to find the surface area of the prism?

To find the surface area of the prism, we need to know only the area of triangle i and the area of rectangle i and the area of rectangle ii, because the area of triangle ii is equal to the area of triangle i and the area of rectangle iii is equal to the area of rectangle i

Part H) What is the surface area of the prism? Show your calculation

we know that

The surface area of the prism is equal to the area of all the faces of the prism

so

The surface area of the prism is two times the area of triangle i plus two times the area of rectangle i plus the area of rectangle ii

[tex]SA=2(3)+2(20)+32=78\ cm^{2}[/tex]

Part I) Read this statement: “If you multiply the area of one rectangle in the figure by 3, you’ll get the total area of the rectangles.” Is this statement true or false? Why?

The statement is false

Because, the three rectangles are not congruent

The total area of the rectangles is [tex]72\ cm^{2}[/tex] and if you multiply the area of one rectangle by 3 you will get [tex]20*3=60\ cm^{2}[/tex]

[tex]72\ cm^{2}\neq 60\ cm^{2}[/tex]

Part J) Read this statement: “If you multiply the area of one triangle in the figure by 2, you’ll get the total area of the triangles.” Is this statement true or false? Why?

The statement is true

Because, the triangles are congruent

PLEASE HELP! I'm on a time limit!!

Which of the following represents a rotation of △PQR, which has vertices P(−2,4), Q(−3,−9), and R(4,−2), about the origin by 180°?

P (2, −4)
Q (3, 9)
R (−4, −2)

P (2, −4)
Q (−9, −3)
R (−4, −2)

P (2, −4)
Q (3, 9)
R (−4, 2)

P (−4, −2)
Q (9, −3)
R (2, 4)

Answers

Answer:

P = (2,-4)

Q = (3,9)

R = (-4,2)

Step-by-step explanation:

rotation by 180 degrees means that the points are inverted. the answers would be the opposite of the given

Final answer:

To find the triangle's vertices after a 180° rotation about the origin, simply change the sign of each coordinate. P(-2,4) becomes P(2,-4), Q(-3,-9) becomes Q(3,9), and R(4,-2) becomes R(-4,2).

Explanation:

When you rotate a point 180° about the origin, each coordinate (x, y) simply changes its sign to become (-x, -y). Therefore, we can apply this to the vertices of △PQR.

P(-2,4) becomes P(2,-4) after a 180° rotation.Q(-3,-9) becomes Q(3,9) after a 180° rotation.R(4,-2) becomes R(-4,2) after a 180° rotation.

The correct choice for the rotation of △PQR by 180° about the origin will have these new coordinates. Therefore, the answer is:

P (2, −4)Q (3, 9)R (−4, 2)

Calculate the discriminant to determine the number solutions. y = x ^2 + 3x - 10

Two irrational solutions
Not solutions
two rational solutions
one rational solution

Answers

1. The first step is to find the discriminant itself. Now, the discriminant of a quadratic equation in the form y = ax^2 + bx + c is given by:

Δ = b^2 - 4ac

Our equation is y = x^2 + 3x - 10. Thus, if we compare this with the general quadratic equation I outlined in the first line, we would find that a = 1, b = 3 and c = -10. It is easy to see this if we put the two equations right on top of one another:

y = ax^2 + bx + c

y = (1)x^2 + 3x - 10

Now that we know that a = 1, b = 3 and c = -10, we can substitute this into the formula for the discriminant we defined before:

Δ = b^2 - 4ac

Δ = (3)^2 - 4(1)(-10) (Substitute a = 1, b = 3 and c = -10)

Δ = 9 + 40 (-4*(-10) = 40)

Δ = 49 (Evaluate 9 + 40 = 49)

Thus, the discriminant is 49.

2. The question itself asks for the number and nature of the solutions so I will break down each of these in relation to the discriminant below, starting with how to figure out the number of solutions:

• There are no solutions if the discriminant is less than 0 (ie. it is negative).

If you are aware of the quadratic formula (x = (-b ± √(b^2 - 4ac) ) / 2a), then this will make sense since we are unable to evaluate √(b^2 - 4ac) if the discriminant is negative (since we cannot take the square root of a negative number) - this would mean that the quadratic equation has no solutions.

• There is one solution if the discriminant equals 0.

If you are again aware of the quadratic formula then this also makes sense since if √(b^2 - 4ac) = 0, then x = -b ± 0 / 2a = -b / 2a, which would result in only one solution for x.

• There are two solutions if the discriminant is more than 0 (ie. it is positive).

Again, you may apply this to the quadratic formula where if b^2 - 4ac is positive, there will be two distinct solutions for x:

-b + √(b^2 - 4ac) / 2a

-b - √(b^2 - 4ac) / 2a

Our discriminant is equal to 49; since this is more than 0, we know that we will have two solutions.

Now, given that a, b and c in y = ax^2 + bx + c are rational numbers, let us look at how to figure out the number and nature of the solutions:

• There are two rational solutions if the discriminant is more than 0 and is a perfect square (a perfect square is given by an integer squared, eg. 4, 9, 16, 25 are perfect squares given by 2^2, 3^2, 4^2, 5^2).

• There are two irrational solutions if the discriminant is more than 0 but is not a perfect square.

49 = 7^2, and is therefor a perfect square. Thus, the quadratic equation has two rational solutions (third answer).

~ To recap:

1. Finding the number of solutions.

If:

• Δ < 0: no solutions

• Δ = 0: one solution

• Δ > 0 = two solutions

2. Finding the number and nature of solutions.

Given that a, b and c are rational numbers for y = ax^2 + bx + c, then if:

• Δ < 0: no solutions

• Δ = 0: one rational solution

• Δ > 0 and is a perfect square: two rational solutions

• Δ > 0 and is not a perfect square: two irrational solutions

A quadrilateral has one pair of parallel sides with lengths 1 3/4 inches and 1 1/4 inches, and two angles that measure 36 degrees. What is the mane of the quadrilateral you drew?

Answers

Answer:

The name of the quadrilateral is isosceles trapezoid.

Explanation:

1) The two parallel sides of different legths [tex]1\frac{3}{4}[/tex] and [tex]1\frac{1}{4}[/tex] constitute the bases of a trapezoid.

2) The two equal anglesare the base angles of the trapezoid, and mean that it is an isosceles trapezoid.

An isosceles trapezoid is truncated isosceles triangle.

The definition of trapezoid is a quadrilateral with at least two parallel sides.

The drawing is attached: only the green lines represent the figure, the dotted lines just show how this is derived from an isosceles triangle.

Answer:

trapezoid

Step-by-step explanation:

Which of the following best describes the graph below?

A. It is a function, but it is not one-to-one.
B. It is a one-to-one function.
C. It is not a function.
D. It is a many-to-one function.

Answers

Answer:

  B. It is a one-to-one function.

Step-by-step explanation:

Each value of the domain maps to a unique value of the range. It is a one-to-one function.

Answer:

B. It is a one to one function.

Step-by-step explanation:

It is a function, if we trace the vertical line [tex]x=a[/tex] it intersects exactly one point of the graph (in the case that [tex]a\neq0[/tex].Moreover, the line [tex]x=0[/tex] doesn't intersects the graph, hence the given graph is the graph of a function with domain [tex]\mathbb{R}-\{0\}[/tex]. On the other hand, a function f(x) is one to one, if whenever f(x)=f(y) it holds that x=y, in terms of the graph of a function this mean that whenever we trace a vertical line [tex]y=b[/tex] it intersects exactly one point, which is exactly the case fo our given graph. Threfore, it is the graph of a one to one function

Kelsey painted one fourth of her bedroom in three seventh of an hour. At this rate, how long would it take her to paint the entire room?


three over twenty eight hour


twenty eight over three hours


twelve over seven hours


seven over twelve hour

Answers

Answer:

The time it will take Kelsey to paint the entire room is:

   Twelve over seven hours  Step-by-step explanation:

It is given that:

Kelsey painted one fourth of her bedroom in three seventh of an hour.

This means that:

 1/4 of bedroom takes 3/7 of an hour

This means that the whole of the bedroom will take 4 times the time it took to cover 1/4 th of bedroom.

i.e. it will take:

[tex]\dfac{3}{7}\times 4\\\\\\=\dfrac{12}{7}\ hour[/tex]

Hence, the total time it will take to paint the whole room is:

                   twelve over seven hours  

Your answer is C, as it says in the photo below. You can see the amount of points it is worth, and the amount of points it gave me. Hope this helps somebody!

BRAINLIEST! find the LCM of the set of polynomials.
121x^2-9y^2,11x^2+3yx

Answers

Answer:

[tex]\large\boxed{LCM(121x^2-9y^2,\ 11x^2+3xy)=121x^3-9xy^2}[/tex]

Step-by-step explanation:

[tex]121x^2-9y^2=11^2x^2-3^2y^2=(11x)^2-(3y)^2\\\\\text{use}\ a^2-b^2=(a-b)(a+b)\\\\=(11x-3y)\underline{(11x+3y)}\\\\11x^2+3yx=x\underline{(11x+3y)}\\\\LCM(121x^2-8y^2,\ 11x^2+3yx)=\underline{(11x+3y)}(11x-3y)(x)\\\\=(121x^2-9y^2)(x)=121x^3-9xy^2[/tex]

The weekly incomes of trainees at a local company are normally distributed with a mean of $1,100 and a standard deviation of $250. If a trainee is selected at random, what is the probability that he or she earns less than $1,000 a week?

Select one:
a. 0.8141
b. 0.1859
c. 0.6554
d. 0.3446

Answers

Answer:

d. 0.3446

Step-by-step explanation:

We need to calculate the z-score for the given weekly income.

We calculate the z-score of $1000 using the formula

[tex]z=\frac{x-\mu}{\sigma}[/tex]

From the question, the standard deviation is [tex]\sigma=250[/tex] dollars.

The average weekly income is [tex]\mu=1,100[/tex] dollars.

Let us substitute these values into the formula to obtain:

[tex]z=\frac{1,000-1,100}{250}[/tex]

[tex]z=\frac{-100}{250}[/tex]

[tex]z=-0.4[/tex]

We now read from the standard normal distribution table the area that corresponds to a z-score of -0.4.

From the standard normal distribution table, [tex]Z_{-0.4}=0.34458[/tex].

We round to 4 decimal places to obtain: [tex]Z_{-0.4}=0.3446[/tex].

Therefore the probability that a trainee earns less than $1,000 a week is [tex]P(x\:<\:1000)=0.3446[/tex].

The correct choice is D.

The question is in the picture.

Answers

Answer:

  42 = (3 +x)(4 +x)

Step-by-step explanation:

The only equation that has the existing dimensions increased by x is the first one.

Express tan B as a fraction in simplest form.

Answers

Based on the given triangle, tan(B) as a fraction in its simplest form is 3/4. Option 1 (None of the listed answers are correct)

How to calculate angle in a triangle

In a right-angled triangle ABC, where the adjacent side (AC) is 4, the opposite side (BC) is 3, and the hypotenuse side (AB) is 5,  use the tangent function to find the value of tan(B).

The tangent function is defined as the ratio of the opposite side to the adjacent side:

tan(B) = BC / AC

tan(B) = 3 / 4

To express tan(B) as a fraction in simplest form,  simplify the ratio by dividing both the numerator and denominator by their greatest common divisor, which in this case is 1:

tan(B) = 3 / 4

Therefore, tan(B) is already in its simplest form as the fraction 3/4.

To express tan B as a fraction in its simplest form, you need to have information about the angle B or, if it pertains to a right triangle, you need to know the lengths of the sides of the triangle that form angle B.
The expression for tan B is based on the ratio of the length of the opposite side to the length of the adjacent side in a right-angled triangle. In mathematical terms, this is written as:
\[ \tan(B) = \frac{\text{opposite side}}{\text{adjacent side}} \]
To write this as a fraction in simplest form, you would follow these steps:
1. Identify the lengths of the opposite and adjacent sides relative to angle B.
2. Write the ratio of these lengths as a fraction.
3. Simplify the fraction by dividing both the numerator (opposite side) and the denominator (adjacent side) by their greatest common divisor (GCD).
As an example, suppose in a right triangle the length of the side opposite angle B is 6 units and the length of the side adjacent to angle B is 8 units:
\[ \tan(B) = \frac{6}{8} \]
Now, we simplify the fraction by finding the GCD of 6 and 8:
The GCD of 6 and 8 is 2.
So, we divide both numerator and denominator by 2:
\[ \tan(B) = \frac{6 \div 2}{8 \div 2} = \frac{3}{4} \]
Therefore, in this example, tan B is \( \frac{3}{4} \) in simplest form.
If you do not have the lengths of the opposite and adjacent sides or a specific value for angle B (for example, B is a special angle such as 30°, 45°, or 60° for which the tangent values are known), then you cannot express tan B as a fraction in simplest form without additional information.

A seal went 15 feet below sea level to catch a fish. A sea lion dove 6 feet less than two times as deep as the seal to catch a larger fish. What expression represents the sea lion's position in relation to sea level?

Answers

(15*2) - 6 is how u can solve it :)

What would be the answer

Answers

Answer:

90 minutes

Step-by-step explanation:

We know that distance = rate * time

We know the distance and the rate, and need to find the time

distance = 60 miles

rate = 40 mile per hour

60 = 40 * t

Divide each side by 40

60/40 = 40t/40

1.5 = t

1.5 hours

Now we need to change it to minutes

1.5 hours * 60 minutes/1 hours = 90 minutes

90 is correct like in the image

You have a circular rug with a circumference of 40.82 feet that you are trying to fit in your perfectly square room. What is the minimum width that your room needs to be for the rug to fit

Answers

Answer:

 13.0 feet

Step-by-step explanation:

The circumference of a circle is given by the formula ...

  C = πd . . . . . . where d represents the diameter

Then the diameter is ...

  d = C/π = 40.82 ft/π ≈ 12.9934 ft

Rounded to the nearest tenth foot, the width of the room must be 13.0 ft.

8 people went to a football game together in one van they spent $4 to park in the rest on tickets the total spent was $88 what was the cost for each ticket

Answers

Answer:

$10.5

Step-by-step explanation:

88-4 = $84

84/8 = 10.5

Use the recursive formula f(n) = 0.4 ⋅ f(n − 1) + 11 to determine the 2nd term if f(1) = 4.

A.f(2) = 11.8
B.f(2) = 12.2
C.f(2) = 12.6
D.f(2) = 13

Answers

Answer:

C.f(2) = 12.6

Step-by-step explanation:

f(n) = 0.4 ⋅ f(n − 1) + 11

f(1) = 4

Let n=2

f(2) = .4 f(1) +11

      = .4 (4) +11

      = 1.6 +11

       = 12.6

Answer:

c-12.6

Step-by-step explanation:

Use the formula and substitute the n for the value and u will find it.

The vertex of a quadratic function is located at (1,4) and the y-intercept of the function is (0,1). What is the value of a if the function is written in the form y=a(x-h)^2+k

Answers

Answer:

  a = -3

Step-by-step explanation:

Put the y-intercept values into the equation and solve for a.

  1 = a(0 -1)^2 +4 . . . . with (h, k) filled in, this is y=a(x-1)^2+4

  -3 = a . . . . . . . . . subtract 4, simplify

The value of a is -3.

What is the perimeter of a polygon with the vertices at (-2,1),(-2,7),(1,11),(4,7) and (4,1) enter your answer in the box do not around any side lengths

Answers

Answer:

  28

Step-by-step explanation:

It helps to plot the points on a graph. It is easy to see that three of the sides are of length 6, and the remaining two are the hypotenuse of a 3-4-5 triangle, hence length 5.

  3×6 +2×5 = 28

The perimeter of this polygon is 28 units.

Help calculus module 7 DBQ

please show work

Answers

1. Filling in the table is just a matter of plugging in the given [tex]x,y[/tex] values into the ODE [tex]\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{xy}3[/tex]:

[tex]\begin{array}{c|ccccccccc}x&-1&-1&-1&0&0&0&1&1&1\\ y&1&2&3&1&2&3&1&2&3\\\frac{\mathrm dy}{\mathrm dx}&-\frac13&-\frac23&-1&0&0&0&\frac13&\frac23&1\end{array}[/tex]

2. I've attached what the slope field should look like. Basically, sketch a line of slope equal to the value of [tex]\dfrac{\mathrm dy}{\mathrm dx}[/tex] at the labeled point (these values are listed in the table).

3. This ODE is separable. We have

[tex]\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{xy}3\implies\dfrac{\mathrm dy}y=\dfrac x3\,\mathrm dx[/tex]

Integrating both sides gives

[tex]\ln|y|=\dfrac{x^2}6+C\implies y=e^{x^2/6+C}=Ce^{x^2/6}[/tex]

With the initial condition [tex]f(0)=4[/tex], we take [tex]x=0[/tex] and [tex]y=4[/tex] to solve for [tex]C[/tex]:

[tex]4=Ce^0\implies C=4[/tex]

Then the particular solution is

[tex]\boxed{y=4e^{x^2/6}}[/tex]

4. First, solve the ODE (also separable):

[tex]\dfrac{\mathrm dT}{\mathrm dt}=k(T-38)\implies\dfrac{\mathrm dT}{T-38}=k\,\mathrm dt[/tex]

Integrating both sides gives

[tex]\ln|T-38|=kt+C\implies T=38+Ce^{kt}[/tex]

Given that [tex]T(0)=75[/tex], we can solve for [tex]C[/tex]:

[tex]75=38+C\implies C=37[/tex]

Then use the other condition, [tex]T(30)=60[/tex], to solve for [tex]k[/tex]:

[tex]60=38+37e^{30k}\implies k=\dfrac1{30}\ln\dfrac{22}{37}[/tex]

Then the particular solution is

[tex]T(t)=38+37e^{\left(\frac1{30}\ln\frac{22}{37}\right)t}[/tex]

Now, you want to know the temperature after an additional 30 minutes, i.e. 60 minutes after having placed the lemonade in the fridge. According to the particular solution, We have

[tex]T(60)=38+37e^{2\ln\frac{22}{37}}\approx\boxed{51^\circ}[/tex]

5. You want to find [tex]t[/tex] such that [tex]T(t)=55[/tex]:

[tex]55=38+37e^{\left(\frac1{30}\ln\frac{22}{37}\right)t}\implies\dfrac{17}{37}=e^{\left(\frac1{30}\ln\frac{22}{37}\right)t}[/tex]

[tex]\implies t=\dfrac{30\ln\frac{17}{37}}{\ln\frac{22}{37}}\approx\boxed{45\,\mathrm{min}}[/tex]

You paint a border around the top of the walls in your room. What angle does X repeat the pattern? 154

Answers

What does 154 mean in your question?

I assume your room is a square. If so, each corner of the room has a 90 degree angle for a total of 360 degrees.

The angle that is repeated, I assumed based on your obscure question, is 90 degrees.

So, x = 90 degrees.

what is the perimeter of a triangle with vertices located at (1.4) (2,7) and (0,5)

Answers

Answer:

The perimeter of triangle is [tex]P=(\sqrt{10}+3\sqrt{2})\ units[/tex]

Step-by-step explanation:

Let

[tex]A(1.4),B(2,7),C(0,5)[/tex]

we know that

The perimeter of the triangle is equal to

[tex]P=AB+BC+AC[/tex]

the formula to calculate the distance between two points is equal to

[tex]d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}[/tex]

step 1

Find the distance AB

[tex]A(1.4),B(2,7)[/tex]

substitute the values

[tex]AB=\sqrt{(7-4)^{2}+(2-1)^{2}}[/tex]

[tex]AB=\sqrt{(3)^{2}+(1)^{2}}[/tex]

[tex]AB=\sqrt{10}\ units[/tex]

step 2

Find the distance BC

[tex]B(2,7),C(0,5)[/tex]

substitute the values

[tex]BC=\sqrt{(5-7)^{2}+(0-2)^{2}}[/tex]

[tex]BC=\sqrt{(-2)^{2}+(-2)^{2}}[/tex]

[tex]BC=\sqrt{8}\ units[/tex]

[tex]BC=2\sqrt{2}\ units[/tex]

step 3

Find the distance AC

[tex]A(1.4),C(0,5)[/tex]

substitute the values

[tex]AC=\sqrt{(5-4)^{2}+(0-1)^{2}}[/tex]

[tex]AC=\sqrt{(1)^{2}+(-1)^{2}}[/tex]

[tex]AC=\sqrt{2}\ units[/tex]

step 4

Find the perimeter

[tex]P=AB+BC+AC[/tex]

[tex]P=\sqrt{10}+2\sqrt{2}+\sqrt{2}[/tex]

[tex]P=(\sqrt{10}+3\sqrt{2})\ units[/tex]

What is the first step in writing f(x) = 3x2 + 6x – 8 in vertex form?


A. Factor out 3 from each term.


B. Form a perfect square trinomial by keeping the value of the function equivalent.


C. Write the trinomial as a binomial squared.


D. Factor out 3 from the first two terms.


Explain your answer?


No spam answers, if you spam your answers it's going mark your answer report.


If your answer is wrong that's going mark your answer report.


Thank you!



-Charlie

Answers

Answer:

  D. Factor out 3 from the first two terms.

Step-by-step explanation:

Vertex form is ...

  y = a(x -h)² +k

where (h, k) is the vertex and "a" is the vertical scale factor.

This equation expands to give ...

  y = ax² -2ahx + ah² +k

Factoring "a" from the terms involving x makes it easy to identify h and so finish putting the equation into vertex form. In this equation, that means the most appropriate first step is ...

  factor out 3 from the first two terms

Answer:

D. Factor out 3 from the first two terms.

Step-by-step explanation:

According to the Vertex Formula [y = A(X - H)² + K], -H gives you the OPPOSITE terms of what they really are, but in this case, this would not qualify, since the question is asking something totally unique. So, since 3 is your "A", you factor that out, and since 6 is a multiple of 3, it is easy to work with. Anyway, you get this:

y = 3(x + 1)² - 11

I hope this helps you out alot, and as always, I am joyous to assist anyone at any time.

Can someone help me with translation

Answers

Answer:

  P' = (4, 4)

Step-by-step explanation:

T(x, y) is a function of x and y. Put the x- and y-values of point P into the translation formula and do the arithmetic.

  P' = T(8, -3) = (8 -4, -3 +7) = (4, 4)

_____

Comment on notation

The notation can be a little confusing, as the same form is used to mean different things. Here, P(8, -3) means point P has coordinates x=8, y=-3. The same form is used to define the translation function:

  T(x, y) = (x -4, y+7)

In this case, T(x, y) is not point T, but is a function named T (for "translation function") that takes arguments x and y and gives a coordinate pair as a result.

Final answer:

Translation is the process of transferring text from one language into another, aiming to maintain the original message's style, tone, and nuances. This practice requires a solid understanding of both the source and target languages.

Explanation:

Translation refers to the process of converting text from one language into another. The goal of translation is to accurately convey the meaning of the source language into the target language, while preserving the style, tone, and nuances. For example, if you want to translate the English phrase 'Hello, how are you?' into French, the translation would be 'Bonjour, comment ça va?'.

Handling translations can be tricky due to cultural differences, idiomatic expressions, and grammatical rules of the different languages. Practice and immersion in both languages can help improve translation skills.

Learn more about Translation here:

https://brainly.com/question/38241586

#SPJ3

How many blocks are in the 10th figure

Answers

Answer:

11 squared, or 121.

Step-by-step explanation:

Fig. 1 = 4 b(locks)

or 2 squared

Fig. 2 = 9 b

or 3 squared

Fig. 3 = 16 b

or 4 squared

Fig. 4 = 25 b

or 5 squared

Fig. 10 would be 11 squared, or 121.

Answer:

The answer is 121

Step-by-step explanation:

Evaluate x + 3y, if x = 9 and y = -4.

Answers

To solve this you must plug in 9 for x and -4 for y in the equation

X + 3y like so...

9 + 3(-4)

In accordance to the rules of PEMDAS you must multiply first, which will get you...

9 + (-12)

Add these two together and you get:

-3

Hope this helped

~Just a girl in love with Shawn Mendes

Answer:

-2

Step-by-step explanation:

Which expressions are equivalent to 8(-10x+3.5y-7)

Answers

For this case we must find an expression equivalent to:

[tex]8 (-10x + 3.5y-7) =[/tex]

We apply distributive property to each of the terms within the parentheses, then:

[tex]8 * (- 10x) + 8 * (3.5y) +8 * (- 7) =\\-80x + 28y-56[/tex]

Finally, an equivalent expression is:

[tex]-80x + 28y-56[/tex]

Answer:

[tex]-80x + 28y-56[/tex]

Answer:

-80x +28y-56

Step-by-step explanation:

** WILL MAKE BRAINLIST **What is the quadratic regression equation for the data set? What is the quadratic regression equation for the data set?

Answers

Answer:

Now I am not completely sure but...maybe is it that:

A quadratic regression is the process of finding the equation of the parabola that best fits a set of data. As a result, we get an equation of the form:

y = a x 2 + b x + c where a ≠ 0 .

Cause I think it might be the best way to find this equation manually is by using the least squares method. That is, we need to find the values of a , b ,     and     c such that the squared vertical distance between each point ( x i , y i ) and the quadratic curve y = a x 2 + b x + c is minimal.

The matrix equation for the quadratic curve is given by:

[ ∑ x i 4 ∑ x i 3 ∑ x i 2 ∑ x i 3 ∑ x i 2 ∑ x i ∑ x i 2 ∑ x i n ] [ a b c ] = [ ∑ x i 2 y i ∑ x i y i ∑ y i ]

The quadratic regression equation for the given data set is approximately:

[tex]y \approx -0.043x^2 + 1.333x + 5.895[/tex]

How to find the quadratic regression equation

To find the quadratic regression equation for the given data set

Denote the independent variable (x) as x and the dependent variable (y) as y. We want to find the quadratic equation of the form

[tex]y = ax^2 + bx + c[/tex]that best fits the data.

Start by creating a system of equations using the given data points.

Substitute the x and y values into the equation and obtain three equations:

[tex](2^2)a + 2b + c = 10.1\\(4^2)a + 4b + c = 7.3\\(6^2)a + 6b + c = 5.9\\(7^2)a + 7b + c = 5.1\\(11^2)a + 11b + c = 6.3\\(12^2)a + 12b + c = 8.2\\[/tex]

Now, we have a system of three linear equations with three unknowns (a, b, c). We can solve this system to find the values of a, b, and c.

Using a calculator or software,  find the following approximate values:

a ≈ -0.043

b ≈ 1.333

c ≈ 5.895

Therefore, the quadratic regression equation for the given data set is approximately:

[tex]y \approx -0.043x^2 + 1.333x + 5.895[/tex]

Read on Regression on https://brainly.com/question/25987747

#SPJ3

Unaware that 35% of the 10,000 voters in his constituency support him, a politician decides to estimate his political strength. A sample of 200 voters shows that 40% support him. What is the parameter of interest? State its value

Answers

Answer.

a. Population is the total number of voters in the constituency, that is 10000

b. the parameter is the unknown character of the population, that is 35% of 10000= 3,500

c. Statistics of interest is know character from the sample, that is 40% of 200= 80

d. The two answers are not surprisingly, because the sample is a portion of the population and we expect it to be smaller that the population. Thus, parameter must be bigger than statistics of interest.

d) ii. If another 200 sample was to be taken, we expect to see an increase in a statistics of interest.

Thus my answer, please help by your approval as fast as you can

Given the lease terms below, what monthly lease payment can you expect on this vehicle?

Terms:

•Length of Lease: 60 months

•MSRP of the car: $28,500

•Purchase value of the car after lease: $12,900

•Down Payment:$1900

•Lease Factor:0.0005

•Security Deposit:$375

•Aquisition Fee: $300


A.$232.50

B.$279.99

C.$227.50

D.$248.08

Answers

Answer:

  D.  $248.08

Step-by-step explanation:

Your question does not involve any taxes, so we'll compute the lease payment based on car value. We presume the Down Payment, Security Deposit, and Acquisition Fee are paid at the time the lease is signed, so are not part of the financing.

Then we have ...

  lease payment = depreciation fee + financing fee

where these fees are calculated from ...

  depreciation fee = ((net capitalized cost) - (residual value))/(months in lease)

and ...

  financing fee = ((net capitalized cost) + (residual value))×(lease factor)

___

Using the given numbers, we have ...

  net capitalized cost = MSRP - Down Payment = $28,500 -1,900 = $26,600

  depreciation fee = ($26,600 -12,900)/60 = $13,700/60 = $228.33

  financing fee = ($26,600 +12,000)×0.0005 = $39,500×0.0005 = $19.75

  lease payment = $228.33 + 19.75 = $248.08

_____

In the attached, the "new car lending rate" is 2400 times the lease factor, so is 1.2. This is an equivalent APR.

Effectively, the monthly lease fee is the average of the depreciating car value over the life of the lease multiplied by this APR. The depreciation for this purpose is assumed to be linear.

It’s D because you add all of them up

The graph represents the height y, in meters, above the ground of a golf ball x seconds after it is hit.


Which statements are true?


Select each correct answer.



For up to 5.5 s after the golf ball is hit, its height is increasing.


It takes 11 s for the golf ball to fall to the ground after reaching its maximum height.


The golf ball is in the air for 11 s.


The maximum height of the golf ball is 150 m.


The golf ball's speed is 11 m/s .

Answers

Answer:

For up to 5.5 s after the golf ball is hit, its height is increasing

The golf ball is in the air for 11 s

The maximum height of the golf ball is 150 m.

Step-by-step explanation:

we know that

The graph shown a vertical parabola open downward

The vertex is a maximum

The vertex is the point (5.5,150) ---> that means

For t=5.5 s, the height of a golf ball is h=150 m

Verify each statement

case A) For up to 5.5 s after the golf ball is hit, its height is increasing.

The statement is true

For the interval (0,5.5) ------> the height is increasing

For the interval (5.5,11) ------> the height is decreasing

case B) It takes 11 s for the golf ball to fall to the ground after reaching its maximum height

The statement is false

It takes 5.5 s for the golf ball to fall to the ground after reaching its maximum height

case C) The golf ball is in the air for 11 s

The statement is true

For t=11 s the golf ball fall to the ground (h=0)

case D) The maximum height of the golf ball is 150 m.

The statement is true

The maximum height of the golf ball is at the vertex of the parabola

The vertex is the point (5.5,150)

case E) The golf ball's speed is 11 m/s

The statement is false

The graph is shown below. Then the correct options are B, C, and D.

What is a function?

Functions are found all across mathematics and are required for the creation of complex relationships.

The graph represents the height y, in meters, above the ground of a golf ball x seconds after it is hit.

From the graph, we can conclude some points.

For up to 5.5 s after the golf ball is hit, its height is increasing.The golf ball is in the air for 11 s.The maximum height of the golf ball is 150 m.

Then the correct options are B, C, and D.

More about the function link is given below.

https://brainly.com/question/5245372

#SPJ5

Other Questions
Divide simplify your answer A sequence is defined by the recursive functionf(n + 1) = f(n) - 2if f(1) = 10, what is f(3)?16830 How do you present an essay using chronological organization? A. Organize the paragraphs in time order. B. Place the most important point first, followed by other less important points, or vice versa. C. Show the difference between two ideas, point by point. D. Put the details in the order in which they appear in a process or illustration. Two negative integers are 5 units apart on the number line, and their product is 126. What is the sum of the two integers?A. 23B. 5C. 9D. 14Could you explain your answer?No need to spam answers, if you do it's should be report it's called "the answer is not applicable."If your answer is wrong, that's going a mark report it's called "the answer is absurd."Don't copied or paste your answers from other sites, if you do it's going mark your answer report and it's called "plagiarism."No joking answers!No Links answers!Thank you!-Charlie Consider the paragraph proof.Given: D is the midpoint of AB, and E is the midpoint of AC.Prove:DE = BCIt is given that D is the midpoint of AB and E is the midpoint of AC. To prove that DE is half the length of BC, the distance formula, d = , can be used to determine the lengths of the two segments. The length of BC can be determined with the equation BC = , which simplifies to 2a. The length of DE can be determined with the equation DE = , which simplifies to ________. Therefore, BC is twice DE, and DE is half BC.Which is the missing information in the proof?a4aa24a2 Which congruence theorems prove tht MNP and QRS are be congruent?Word Bank:AAS theorem, ASA postulate, SAS postulate,SSS postulate, HA, AA, HL, LA, LL, HH Plzzz help me asap I will mark as BRAINLIEST!!!What is the main message of this excerpt of White Fang? Please respond in three to five complete sentences, including specific sections of text to support your answer. how is the industrialization in britain significant to history?? On which number line are -3 and its opposite shown? newtons View of Arrangement of the Universe Countries in this region are trying to achieve ______________ development.a.attainablec.sustainableb.suspendabled.intangible The internal iliac arteries supply blood to the A. diaphragm.B. urinary bladder and rectum. C. lower leg. D. spleen. E. reproductive organs. 40POINTS!!!!!!!!!!!!!!!!!!!!!!!!!!!! AND BRAINLIEST AND I'LL FOLLOW YOU IGDrag the tiles to the correct boxes to complete the pairs.Patricia has a square-shaped photo of her soccer team that she plans to give to her coach. She decides to put the photo in a rectangular frame that is 15 centimeters longer than the length of the picture. This will leave enough space beneath the photo for Patricia's teammates to sign their names.The area of the framed picture is given by the quadratic expression below, where x represents the side length, in centimeters, of the photo.[tex]x^2+15x[/tex]Match each expression to the description it models.A.the length of the photoB.the area of the frame around the pictureC.the area of the photoD.the length of the frame1.the monomial, x, a factor ofthe expression x2 + 15x2.the binomial, (x + 15), a factorof the expression x2 + 15x3.the first-degree term ofthe expression x2 + 15x4.the second-degree term ofthe expression x2 + 15x Your phone plan charges you an initial fee and then a certain amount depending on the amount of data you use they send you periodic updates of your insiste and your current bill cost. After using 3 GB of data you owe $30. After 5 GB of data you owe $40. What is the initial fee prior to the data usage charge ? Which of the following identifies the main culprit for Americas increasing weight gain? When Mendel crossed truebreeding pea plants that have inflated pods (PP) with those that have constricted pods (pp), it was observed that F1 offspring had a genotype of Pp. What would their phenotype be? BRANLIEST + 100 POINTSfor this assessment you must create presentation using Web 2.0 or multi media tools to analyze a story read from Huckleberry Finn.(I WILL MAKE PRESENTATION I JUST NEED THE ANSWERS)First gather your notes about the following characters from both huckleberry finn and Romeo and Juliet. buckmiss sophiaharney shepherdsonromeojulietone other character from romeo and julietnext match the characters from Huckleberry Finn with those from Romeo and Juliet which character most closely represents Juliet? Romeo? a third character from the play?once you have made these decisions right presentation that illustrates these connections. Explain the similarities and differences between each character pair. Finally draw conclusion about your comparisons and contrast of characters. Specifically what is it that you conclude about the authors message in each work. Is it similar or different? Frequent or consistent use of a drug or behavior that makes it difficult for the person to get along without it. Simplify the expression.(7.46)** . (7.46) Queens neighborhood that is also an oregon city. True or False