three vertices of a square are (-1, 2), (-1, 8), and (5,2) what is the fourth vertex of the square

A. (-5, 2)

B. (5, 8)

C. (2, 8)

D. (2, -5)

Answers

Answer 1

Answer:

The correct answer option is B. (5, 8).

Step-by-step explanation:

We are given the following coordinates of the vertices of a square and we are to find the coordinates of its fourth vertex:

[tex] ( - 1 , 2 ) , ( - 1 , 8 ) , ( 5 , 2 ) [/tex]

We know that all four sides of the square are equal so the vertices are equidistant from each other.

So the fourth vertex will be (5, 8).

Answer 2

The answer is b. (5,8)


Related Questions

Let f(x)=e^x and g(x)=x+6. what are the domain and range of (g*f)(x)?​

Answers

Answer:

(f of g)(x)=f(g(x))=f(x-3)=e^(x-3)

The domain of a real exponential function is all real, and

the corresponding range is y>0, i.e. (0,+∞)

Step-by-step explanation:

It will take Adam four hours to drive to Disney Park, and 2.5 times less time if driving 45 mph faster. What is the distance Adam should cover to get to the park?

Answers

Hello!

The answer is:

The distance to over by Adam to get to the park is 108 miles.

Why?

To solve the problem, we need to write two equations using he given information about the times and his speed.

So,

For the first equation we have: Travel to Disney Park

[tex]time=4hours[/tex]

[tex]Distance=v*4hours[/tex]

For the second equation we have: Travel back from Disnery Park

[tex]time=4hours-2.5hours=1.5hours[/tex]

[tex]Speed=v+45mph[/tex]

[tex]Distance=(v+45mph)*1.5hours[/tex]

Then, if Adam covered the same distance going and coming back, we have:

[tex]v*4hours=(v+45mph)*1.5hours[/tex]

[tex]v*4hours=v*1.5hours+45mph*1.5hours[/tex]

[tex]v*4hours-v*1.5hours=45mph*1.5hours[/tex]

[tex]v*2.5hours=67.5miles[/tex]

[tex]v=\frac{67.5miles}{2.5hours}=27\frac{miles}{hour}=27mph[/tex]

We have that the speed when he was going to Disney Park was 27 mph.

Now, to calculate the distance, we need to substitute the obtained speed in any of the two first equations.

Therefore, substituting the speed into the second equation, we have:

[tex]Distance=(v+45mph)*1.5hours[/tex]

[tex]Distance=(27mph+45mph)*1.5hours=72mph*1.5hours=108miles[/tex]

Hence, we have that the distance that Adam should cover to get to the park is 108 miles.

Havea nice day!

HELP ASAP ALGEBRA 2 please!!

Answers

Answer:

- 11 - 6x + 2x^2 +8x^3

Step-by-step explanation:

Usually polynomials are written in descending order, with the highest exponent value going first. In this problem, you need to find the lowest exponent value, and go up from there. After looking at all the answers, you can conclude that - 11 - 6x + 2x^2 +8x^3 is correct.

I hope this helps!

Answer:

D

Step-by-step explanation:

A polynomial in ascending order means the term of lowest degree is first, followed by terms of increasing degree

A constant has degree zero

A term with x has degree 1

A term with x² has degree 2

A term with x³ has degree 3 ... and so on, thus

- 11 - 6x + 2x² + 8x³ ← is written in ascending order

How to make these !!!!help me !! Urgente

Answers

The Pythagorean Theorem is

[tex]a^2+b^2=c^2[/tex]

Where a and b are legs and c is the hypotenuse.

If we had the measurements 27, 36, and 45...

[tex]a^2+b^2=c^2 \\ \\ 27^2+36^2=45^2 \\ \\ 729+1296=2025 \\ \\ 2025 = 2025[/tex]

So it is a right triangle because [tex]a^2+b^2=c^2[/tex]

The values of a, b, and c are given.

[tex]a=27 \\ b=36 \\ c=45[/tex]

Converse blanks: the sum of the legs squared is equal to the square of the hypotenuse; right.

a = 27, b = 36 (a and b can be switched), c = 45 --> the hypotenuse is always the longest side.

a² + b² = c²

Substitute: 27² + 36² = 45²

Simplify: 729 + 1296 = 2025

Simplify: 2025 = 2025

This is a right triangle because the sum of the lengths of the legs squared is equal to the length of the hypotenuse squared.

(also good note, the sides have a ratio of 3 : 4 : 5, which will always make a right triangle)

Is a acute angle always in the socially’s triangle?

Answers

Answer:

Step-by-step explanation:

Do you mean an isosceles triangle? If you do then the answer is yes because two of the angles cannot be more that 90o. If they are the sum of the angles are going to be more than 180.

For example, if both angles in the isosceles triangles are 100 then the two angles will add up to 100 + 100 = 200 degrees. No triangle has 200 degrees in it.

Well how about 90.? Could two angles in a triangle have 90 each?

No because 90 + 90 = 180. There's no room for another angle.

So two angles of an isosceles triangle must be acute.

If this is not what you mean, please leave a not.

Find the degree of the monomial 8ab^3

Answers

Answer:

B: 4

Step-by-step explanation:

#first

Answer:

A, 3

Step-by-step explanation:

The degree, otherwise known as the power, is 3.

A particular lawn mower is on sale at two different stores the original price at both stores was $130. Watson’s garden shop is advertising the lawn mower for 50% off. Hartman’s home center reduced the mower 40%, and then took an additional 15% off the reduced price. Which lawn mower is the better deal?

Answers

Answer:

Watson's garden shop has the better deal on the lawn mower.

Hope this helped :)

Step-by-step explanation:

Watson's $130 - 50% = $65

Hartman's $130 - 40% = $78

                  $78 - 15% = About $66

Answer:

The deal of Watson’s garden shop is better.

Step-by-step explanation:

Given,

The original price = $ 130,

After 50% off,

The new price would be,

[tex]P_1=130\times \frac{(100-50)}{100}[/tex]

[tex]=\frac{130\times 50}{100}[/tex]

[tex]=\frac{6500}{100}[/tex]

[tex]=\$ 65[/tex]

While, after 40% off then additional 15% off,

The new price would be,

[tex]P_2= 130\times \frac{(100-40)}{100}\times \frac{(100-15)}{100}[/tex]

[tex]=130\times \frac{60}{100}\times \frac{85}{100}[/tex]

[tex]=\frac{663000}{10000}[/tex]

[tex]=\$ 66.30[/tex]

∵ 66.30 > 65

Hence, first deal is better.

Which equation is equivalent to 3x^2 + 24x + 15 = 0?

Answers

Final answer:

The equivalent equation to 3x² + 24x + 15 = 0 is 3(x² + 8x + 5) = 0. It was found by factoring the given quadratic equation.

Explanation:

The equation you're asked to simplify is a quadratic equation, which has the form ax² + bx + c = 0. Here, a = 3, b = 24, and c = 15. The equivalent equation can be found by factoring the given equation.

The quadratic formula -b ± √b² - 4ac / 2a can be used to find the solutions of the equation, but we are asked to provide an equivalent form of the original equation. Factoring the original equation, we get: 3(x² + 8x + 5) = 0. That is the equivalent equation.

Learn more about Quadratic Equation here:

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Final answer:

The equation 3x^2 + 24x + 15 = 0 can be factored using the ac method. The factored form is (x + 3)(3x + 5) = 0. Solving the factored equations gives x = -3 and x = -5/3.

Explanation:

The equation 3x^2 + 24x + 15 = 0 can be factored.

Start by finding two numbers that multiply to give ac (a = 3, c = 15) and add to give b (b = 24).

In this case, the two numbers are 3 and 5. So we can factor the quadratic equation as (x + 3)(3x + 5) = 0.

Setting each factor equal to zero, we get x + 3 = 0 and 3x + 5 = 0.

Solving these equations gives x = -3 and x = -5/3.

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Suppose f(x) = x^2. what is the graph of g(x) = f(2x)?

Answers

Answer:

C

Step-by-step explanation:

Substitute 2x into the equation where x is located. G(x)= (2x)^2=4x^2. This will be a graph which has been vertically stretched has a very steep curve to it facing up. It is C.

Determine the common ratio and find the next three terms of the geometric sequence. 8, -20, 50, ...

Answers

Answer:

see explanation

Step-by-step explanation:

The common ratio r of a geometric sequence is

r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{a_{3} }{a_{2} }[/tex] = .....

r = [tex]\frac{-20}{8}[/tex] = [tex]\frac{50}{-20}[/tex] = - 2.5

Multiplying each term by - 2.5 gives the next term

50 × - 2.5 = - 125

- 125 × - 2.5 = 312.5

312.5 × - 2.5 = - 781.25

The next 3 terms in the sequence are - 125, 312.5, - 781.25

The common ratio is -2.5

Next 3 terms after 50 are -125, 312.5, -781.25

What is a geometric sequence and common ratio?

A sequence ( increasing or decreasing)  having a pattern that the next term is found by multiplying the previous term with a constant term called common ratio, is called a geometric sequence. Common ratio can be positive or negative.

Common ratio can be found by dividing a term by its previous term.How to find the common ratio of the given geometric sequence?

The given sequence is 8, -20, 50......

The common ratio is   [tex]\frac{-20}{8}= - 2.5[/tex]

How to find the next terms of the given geometric sequence?In a geometric sequence, a term multiplied by the common ratio gives ithe next term.

Next term after 50 = {50 x (-2.5)} = -125

Next term after -125 = {(-125) x (-2.5)} = 312.5

Next term after 312.5 = {312.5 x (-2.5)} = -781.25

Next 3 terms after 50 are -125, 312.5, -781.25

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Write the equation of the following graph in vertex form.
1) f(x) -0.4 (x + 2)(x - 5)
2) f(x) 0.4 (x + 2)(x - 5)
3) f(x) -0.4 (x - 2)(x + 5)
4) f(x) 0.4 (x - 2)(x + 5)

Answers

The quadratic equation in vertex form is f(x) = 0.4(x - 2)² + 5

How to determine the equation in vertex form

From the question, we have the following parameters that can be used in our computation:

The graph

Where, we have the vertex to be

(h, k) = (2, 5)

A quadratic equation in vertex form is represented as

f(x) = a(x - h)² + k

So, we have

f(x) = a(x - 2)² + 5

Using the points, we have

a = 0.4

Substitute the known values into the equation

f(x) = 0.4(x - 2)² + 5

Hence, the equation in vertex form is f(x) = 0.4(x - 2)² + 5

Plz help me with this

Answers

Answer: D) x⁻²

Step-by-step explanation:

  x³ ÷ x⁵

= x³⁻⁵

= x⁻²

Please help and thank you

Answers

Option B is the right answer.

What we're looking for is a hollow point on -3 going to the right and a hollow point on 2 pointing to the left.

The answer to this is B. The one that is shaded orange in the picture.

There are 2 red shirts and 12 shirts in other colors. What is the probability that the next shirt will be sold in red?

Answers

Answer: 2 out of 14

Step-by-step explanation:

You have to do 2 plus 12 to get your total amount of shirts. Then since you only have 2 RED shirts the answer would be 2 out of 14.

At the beach, Pancho and his sister both built sandcastles and then measured their heights. Pancho's sandcastle was 3/5 of a foot tall and his sister's was 2/5 of a foot tall. How much taller was Pancho's sandcastle than his sister's?

Answers

1/5 of a foot

Simply subtract the height of Pancho’s sandcastle (3/5 of a foot) minus the height of his sister’s sandcastle (2/5 of a foot) to find a difference of 1/5 of a foot, meaning Pancho’s sandcastle was 1/5 of a foot taller than his sister’s sandcastle.

please help fast i dont know what to do

Answers

Answer:

y = -3x + 2, or C

Step-by-step explanation:

So, slope intercept form is y = mx + b.

m = (y2 - y1)/(x2 - x1). So (5 - (-1))/(-1 - 1) = -3

b = (0,2), according to the graph, or just 2.

So y = -3x + 2

solve for x. round to the nearest hundredth if necessary.

Answers

Answer: [tex]x=11.47[/tex]

Step-by-step explanation:

Given the angle of 55 degrees, you know that the adjacent side is "x" and the length of the hypotenuse is 20.

Therefore, you need to remember the following identity:

[tex]cos\alpha=\frac{adjacent}{hypotenuse}[/tex]

Then, knowing that:

[tex]\alpha=55\°\\adjacent=x\\hypotenuse=20[/tex]

 You need to substitute these values into[tex]cos\alpha=\frac{adjacent}{hypotenuse}[/tex]:

 [tex]cos(55\°)=\frac{x}{20}[/tex]

Now, you can solve for "x":

[tex]20*cos(55\°)=x\\x=11.471[/tex]

Rounded to the nearest hundreth:

[tex]x=11.47[/tex]

Pllllllzzzz Helpppppp!!!. I have class in an hour!!

Marcus is putting a border of mulch around a tree. The figure shows the top veiw of the mulch. The mulch is 3 in deep. Find the Volume of the mulch. (last problem shown in image.

Answers

Answer:

The volume of the mulch is [tex]528\ in^{3}[/tex]

Step-by-step explanation:

we know that

The volume of the mulch is equal to

[tex]V=Bh[/tex]

where

B is the area of the border of the mulch

h is the deep of the mulch

Find the area of the border B

The area of the border B is equal to the area of the complete square minus the area of the inside square

so

[tex]B=24^{2}-20^{2} = 176\ in^{2}[/tex]

we have

[tex]h=3\ in[/tex] -----> the deep of the mulch

substitute the values

[tex]V=(176)(3)=528\ in^{3}[/tex]

The radius of a sphere is 6 units. Which expression represents the volume of the sphere, in cubic units? π(6)2 π(6)3 π(12)2 π(12)3

Answers

Answer: [tex]\frac{4}{3}\pi (6)^3[/tex]

Step-by-step explanation:

The formula for calculate the volume of a sphere is:

[tex]V=\frac{4}{3}\pi r^3[/tex]

Where "V" is the volume of the sphere and "r" is the radius of the sphere.

In this case the radius of the sphere is 6 units. Knowing this radius, you can substitute into the formula [tex]V=\frac{4}{3}\pi r^3[/tex]

Therefore, you get that the expression that represents the volume of this sphere is:

[tex]V=\frac{4}{3}\pi (6)^3[/tex]

Answer:

4/3π(6)3

Step-by-step explanation:

Which linear inequality is represented by the graph?

Answers

Answer:

The graph of an inequality in two variables is the set of points that represents all solutions to the inequality. A linear inequality divides the coordinate plane into two halves by a boundary line where one half represents the solutions of the inequality. The boundary line is dashed for > and < and solid for ≤ and ≥.

A notebook costs $6.50 plus sales tax. After sales tax, the notebook is $6.89. What is the sales tax rate?

Answers

Answer:

6% tax

Step-by-step explanation:

6.89=6.5x

x=1.06

Answer

6%

Step-by-step explanation:

Plz help me with this

Answers

Answer:  D) 10 sin (πx) - 5

Step-by-step explanation:

The range (maximum - minimum) is 5 - (-15) = 20

The amplitude (A) is range (20) ÷ 2 = 10

The vertical shift (D) is maximum (5) - amplitude (10) = -5

Of the given options, only A & D are candidates.  Now we need to decide if it is a cos graph (A) or a sin graph (D).  If we shift the graph up 5 units (to eliminate the vertical shift) , the graph would pass through the origin.  Thus it is a sin graph and the answer must be option D.

I need help on this I am just going to use the picture

Answers

Answer:

D

Step-by-step explanation:

let y = f(x), that is

y = [tex]\frac{2x-3}{5}[/tex]

Rearrange making x the subject

Multiply both sides by 5

5y = 2x - 3 ( add 3 to both sides )

5y + 3 = 2x (divide both sides by 2 ) , then

x = [tex]\frac{5y+3}{2}[/tex]

Change y back into term of x, hence

[tex]f^{-1}[/tex](x) = [tex]\frac{5x+3}{2}[/tex] → D

D is the correct answer

HELP PLEASE!! The following data shows the weight in ounces of 10 different bags of candy.
10, 3, 7, 3, 4, 21, 6, 10, 1, 2, 3.

After removing the outlier what does the mean absolute deviation of this data set represent???

A. On average the weight of a bag of candy varies 3.2 ounces from the mean of 4 ounces
B. On average the weight of a bag of candy varies 2.6 ounces from the mean of 5 ounces
C. On average the weight of a bag of candy varies 3.2 ounces from the mean of 5 ounces
D. On average the weight of a bag of candy varies 2.6 ounces from the mean of 4 ounces

Answers

Answer:

C.

Mean= 4.9

Mean Absolute Deviation (MAD): 4.099173553719

Step-by-step explanation:

An outlier is a value that is very different from the other data in your data set. This can skew your results. As you can see, having outliers often has a significant effect on your mean and standard deviation. Because of this, we must take steps to remove outliers from our data sets.

outlier: 21

Answer:

the answer is C :D

Step-by-step explanation:

What solves the equation? (Needs to be simplified)

Answers

[tex]\bf \cfrac{4v+1}{6v^2-19v+10}\div \boxed{x}=\cfrac{4v-1}{3v-2}\implies \cfrac{~~\frac{4v+1}{6v^2-19v+10}~~}{x}=\cfrac{4v-1}{3v-2} \\\\\\ \stackrel{\textit{cross-multipying}}{\cfrac{~~\frac{4v+1}{6v^2-19v+10}~~}{\frac{4v-1}{3v-2}}=x}\implies \cfrac{4v+1}{6v^2-19v+10}\cdot \cfrac{3v-2}{4v-1}=x \\\\\\ \cfrac{4v+1}{(\underline{3v-2})(2v-5)}\cdot \cfrac{\underline{3v-2}}{4v-1}=x\implies \cfrac{4v+1}{(2v-5)(4v-1)}=x \\\\\\ \cfrac{4v+1}{8v^2-2v-20v+5}=x\implies \cfrac{4v+1}{8v^2-22v+5}=x[/tex]

Solve by factoring 3x^2-3x-60=0

Answers

Answer:

x = 5 or x = -4

Step-by-step explanation:

3x^2 - 3x - 60 = 0

Factor out 3 from the left side.

3(x^2 - x - 20) = 0

Divide both sides by 3.

x^2 - x - 20 = 0

Factor the trinomial.

(x - 5)(x + 4) = 0

x - 5 = 0 or x + 4 = 0

x = 5 or x = -4

Which two expressions are equivalent? PLZ HELP

Answers

Answer: I'm pretty sure it's a or c. I think its c.

Step-by-step explanation: Cuz 3x + 4x = 7x times 4x = 28x then we have

                                             12x + 16x = 28x

For which is 3 NOT an element of the range?

Answers

Is your D y= - (- x) ^2
If so y would equal a negative so it cannot be 3

The Run is the ___ Change between two points on a line

Answers

The run is the horizontal change between two points along a line.

Answer:

The run is a HORIZONTAL change between two point son a line.

Step-by-step explanation:

This is because when your slope is a fraction, run is over rise, and run is when you go upwards to be able to plot a point. Therefore, the run is horizontal.

a rectangle's length is three more than two times its width if the perimeter of a rectangle is 66 ft what is the measurement of the length​

Answers

Answer:

The measure of the length is [tex]23\ ft[/tex]

Step-by-step explanation:

Let

x-----> the length of rectangle

y-----> the width of rectangle

we know that

The perimeter of rectangle is equal to

[tex]P=2(x+y)[/tex]

[tex]P=66\ ft[/tex]

so

[tex]66=2(x+y)[/tex]

Simplify

[tex]33=x+y[/tex] -----> equation A

[tex]x=2y+3[/tex] ----> equation B

Substitute equation B in equation A and solve for y

[tex]33=(2y+3)+y[/tex]

[tex]2y+y=33-3[/tex]

[tex]3y=30[/tex]

[tex]y=10\ ft[/tex]

Find the value of x

[tex]x=2(10)+3=23\ ft[/tex]

Answer:

The measure of the length is 23\ ft

Step-by-step explanation:

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