Write an equation in slope-intercept form of the line that passes through the given point and is parallel to the graph of the given equation. (1,−3); + 2 = 4( - 1)+2=4(−1)

Answer: 12.5

Step-by-step explanation:

As y=x has a slope of 1, it will intersect the line x = 5 at a value of 5, creating an isocoles right triangle with leg length 5. The area of a triangle = (b*h)/2. (5*5)/2 = 12.5 square units

To find the area of the triangle enclosed by the lines y = x and x = a when a = 5, we need to determine the coordinates of the vertices of the triangle. The vertices are (0, 0), (5, 0), and (5, 5). Using the coordinates, we can find the base and height of the triangle and then apply the formula for the area of a triangle.

To find the area of the triangle enclosed by the lines y = x and x = a, where a = 5, we need to determine the coordinates of the vertices of the triangle. The vertices will be the points where the lines intersect the axes. For y = x, the vertex is (0, 0), and for x = a, the vertex is (5, 0). The third vertex will be the point where these two lines intersect, which can be found by substituting the value of a into the other equation. So, when a = 5, the third vertex is (5, 5).

We can now use the coordinates of the vertices to find the base and height of the triangle. The base is the distance between the points (0, 0) and (5, 0), which is 5 units. The height is the distance between the points (5, 0) and (5, 5), which is also 5 units.

The formula for the area of a triangle is (1/2) × base × height. Substituting the values, we have (1/2)× 5 × 5 = 12.5 square units. Therefore, the area of the triangle when a = 5 is 12.5.

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Answer:

the 2nd one

Step-by-step explanation:

Answer:

its D in edge

Step-by-step explanation:

Answer:

Step-by-step explanation:

first if you reflect an image its still identical think of it  as a  mirror its the same  but on the other side. so if you  flip it over the x or y axis it would  just be  as if you  folded the paper and shape is on the other side.                                                a rotation would be as if you moved the shape to another quadrant so if you move it 90 degres to the left  it would be  be turned  slightly and a transformation if you slide it up the image is however many  space it was from its current location. so each one moves it from its current location

Answer:Even if you mirror an image, it remains the same. Imagine it as a mirror with the same thing on the opposite side. Therefore, if you turned it over on the x or y axis, the shape would be on the other side just like if you had folded the paper. A transformation would be like sliding the object up however many spaces it was from its current location. For example, if you moved the shape 90 degrees to the left, it would be turned somewhat. A rotation would be like moving the shape to another quadrant. so they all relocate it from their current positions.

Step-by-step explanation:

Answer:

6.93 in

Step-by-step explanation:

[tex]A = s^{2}[/tex]

[tex]48 = s^{2}[/tex]

[tex]\sqrt{48} = \sqrt{s^{2} }[/tex]

[tex]s = 6.92820323028 in[/tex]

Answer:

Step-by-step explanation:

side = √48 = √4*4*3 = 4*√3 = 4 * 1.732 =6.928 in

The length of the path that Thomas runs on the circular path is approximately 4.71 miles.

Thomas is training for a race by running on a circular path. To find out the length of the path, we need to calculate the circumference of the circle using the radius provided (0.75 mile from the tree in the center of the circular path to the path).

The formula for the circumference of a circle is [tex]C = 2 \times \pi \times r,[/tex] where C is the circumference and r is the radius of the circle.

Substituting the given radius (0.75 mile) into the formula gives us: [tex]C = 2 \times \pi\times 0.75.[/tex]

By using 3.14159 as an approximation for π the calculation would be

[tex]C = 2 \times 3.14159 \times 0.75 = 4.71238875 miles.[/tex]

Therefore, the length of the path that Thomas runs on the circular path is approximately 4.71 miles.

Answer:

660

Step-by-step explanation:

y x .40= 264

solve for y

The height of purse which is in trapezoid shape is 26 cm

Solution:

Clara has a purse in the shape of a trapezoid

The area of trapezoid is given by formula:

[tex]Area = \frac{a+b}{2} \times h[/tex]

Where,

"h" is the height

"a" and "b" are the parallel sides length

From given,

Area = 754 cm

a = 22 cm

b = 36 cm

h = ?

Substituting the values in formula,

[tex]754 = \frac{22+36}{2} \times h\\\\754 = \frac{58}{2} \times h\\\\Simplify\ the\ above\ expression\\\\754 = 29h\\\\Divide\ both\ sides\ of\ equation\ by\ 29\\\\h = 26[/tex]

Thus height of purse which is in trapezoid shape is 26 cm

The value of x is -4.186

Solution:

Given equations,

[tex]-3x-8y=20\rightarrow(1)[/tex]

[tex]-5x+y=20\rightarrow+y=20+5x\rightarrow (2)[/tex]

On substituting (2) in (1) we get,

-3x-8(20+5x)=20

-3x-160-40x=20

On solving we get,

-160-43x=20

-43x=20+160

On grouping the known and unknown terms,

x=180/-43

x=-4.1860

Final answer:

The answer is 64 green marbles.

Explanation:

To find out how many green marbles are there, we can set up an equation based on the given information. Let G represent the number of green marbles and R represent the number of red marbles. We know that the total number of marbles is 77, so we have the equation G + R = 77. We are also given that the number of green marbles is 1 less than 5 times the number of red marbles, which can be written as G = 5R - 1.

We can solve this system of equations by substituting the second equation into the first equation:

5R - 1 + R = 77

6R = 78

R = 13

Substituting the value of R back into the second equation, we can find the number of green marbles:

G = 5(13) - 1 = 64

Therefore, there are 64 green marbles in the bag.

Answer:

$500

Step-by-step explanation:

We are given;

We are supposed to determine the amount spent on food;

Therefore;

Amount on gas and hotel room = 3/5 × $2500

                                                     = $ 1500

Thus;

Remaining amount = $2500 - $1500

                                = $1000

But;

1/2 of the remainder was spent for the food

Thus;

Amount on food = 1/2 × $1000

                           = $500

Hence, the family spent $500 on food

You can construct more than one triangle with Option 1) the measurement of two angles and option 2) the length of the included side, and Option 4) the lengths of the two sides and the measurement of the included angle.

Constructing triangles depends on the given information. According to the rules of geometry, 1) the measurement of two angles alone is not enough to construct a unique triangle. 2) With the measurement of two angles and the length of the included side (also known as Angle-Side-Angle or ASA), you can construct a unique triangle. 3) The measurements of all right angles is irrelevant as a triangle can have only one right angle. 4) With the lengths of two sides and the measurement of the included angle (also known as Side-Angle-Side or SAS), you can also construct a unique triangle.

Therefore, with the measurement of two angles and the length of the included side and the lengths of the two sides and the measurement of the included angle, you can construct more than one triangle.

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Answer:

The answer is 2,3,4 and ,6

Step-by-step explanation:

This is because 12,24,and 36 can all be divided by 2,,3,,4, and 6

Answer:

242

Step-by-step explanation:

11x22=242

Answer:

Step-by-step explanation:

It’s positive

-16

$3.85 per gallon

Answer:

The required Expression is

[tex]-90 \geq 18x[/tex]

Also for x Divide by 18 on both the side

[tex]\dfrac{-90}{19}\geq \dfrac{18x}{18}\\\\-5\geq x\\\\x\leq -5[/tex]

Step-by-step explanation:

-90 greater than or equal to 18x .

It is the Algebraic Expression in Statement form.

Algebraic Expression is given in the form numbers and variables with the operands such as,

' + ' Plus Sign

' - ' Minus Sign

' > ' Greater Sign

' = ' Equal Sign

' ≥ ' Greater than or Equal to Sign ,etc.

Here -90 Greater than or Equal 18 x

Therefore , -90 ≥ 18x

The required Expression is

[tex]-90 \geq 18x[/tex]

Also for x Divide by 18 on both the side

[tex]\dfrac{-90}{19}\geq \dfrac{18x}{18}\\\\-5\geq x\\\\x\leq -5[/tex]

Answer:

B

Step-by-step explanation:

7x - 3y = 4

2x - 4y = 1

==============

A. if u take 7x - 3y = 4....and multiply it by 4, u get 28x - 12y = 16

   if u take 2x - 4y = 1...and multiply it by -3, u get -6x + 12y = -3

  These are equivalent equations

B. if u take 7x - 3y = 4...multiply it by 2, u get 14x - 6y = 8

  not equivalent

C. if u take 7x - 3y = 4, multiply it by -4, u get -28x + 12y = -16

  if u take 2x - 4y = 1, multiply it by 14, u get 28x - 56y = 14

   equivalent equations

Answer:

28x - 12y = 16 and -6x + 12y = -3

6.9

323.6/4=6.885

Round to the nearest tenth=6.9

Answer:

[tex]r=4\\ \\s=3\\ \\t=-1[/tex]

Step-by-step explanation:

Given the system of three linear equations:

[tex]\left\{\begin{array}{l}-6r+5s+2t=-11\\ \\-2r+s+4t=-9\\ \\4r-5s+5t=-4\end{array}\right.[/tex]

Cheange the positions of the first and the second equations:

[tex]\left\{\begin{array}{l}-2r+s+4t=-9\\ \\-6r+5s+2t=-11\\ \\4r-5s+5t=-4\end{array}\right.[/tex]

Multiply the first equation by -3 and add it to the second equation and then multiply the first equation by 2 and add it to the third equation:

[tex]\left\{\begin{array}{r}-2r+s+4t=-9\\ \\2s-10t=16\\ \\-3s+13t=-22\end{array}\right.[/tex]

Multiply the second equation by 3, the third equation by 2 and add them:

[tex]\left\{\begin{array}{r}-2r+s+4t=-9\\ \\2s-10t=16\\ \\-4t=4\end{array}\right.[/tex]

From the third equation,

[tex]t=-1[/tex]

Substitute it into the second equation:

[tex]2s-10\cdot (-1)=16\\ \\2s+10=16\\ \\2s=6\\ \\s=3[/tex]

Substitute [tex]t=-1[/tex] and [tex]s=3[/tex] into the first equation:

[tex]-2r+3+4\cdot (-1)=-9\\ \\-2r+3-4=-9\\ \\-2r-1=-9\\ \\-2r=-9+1\\ \\-2r=-8\\ \\2r=8\\ \\r=4[/tex]

Hence,

[tex]r=4\\ \\s=3\\ \\t=-1[/tex]

Answer: = 4 + 0.5b i think

Answer:

B. 2 x 40 x pi

Step-by-step explanation:

the other answer lead me to the correct answer. I just chose this option on TTM and it was correct.

An expression that can be used to find the circumference of the skating rink, in feet is: (B) 2 ⋅ 40 ⋅ π

The formula to find the Circumference of a Circle is:

C = 2πr

Where:

C is Circumference

r is radius

We are given that the radius is: r = 40 ft

Thus the circumference is:

C = 2 * 40 * π

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Answer:

A,B,C

Step-by-step explanation:

When we look at her work, which you write in comment we can see that she make mistake. So lets answer your questions .

A) Because we cannot have 8.25 prints, we can just have integer 8 or 9. or some other integer.

B) explain Madeline mistake :

2(30-p)+5p=93 in this she needs to multiply 2 by 30 and 2 by -p, which she didnt.

C) When we correct mistake we can evaluate how much Chris sell.

60-2p+5p=93

3p=33

p=11

s=30-p=19

So, Chris sells prints 11 and sketches 19

[tex]\bf (\stackrel{x_1}{0}~,~\stackrel{y_1}{-\frac{8}{9}}) ~\hspace{10em} \stackrel{slope}{m}\implies 4 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{\left(-\cfrac{8}{9} \right)}=\stackrel{m}{4}(x-\stackrel{x_1}{0}) \\\\\\ y+\cfrac{8}{9}=4x\implies y = 4x-\cfrac{8}{9}[/tex]

Slope-intercept form:   y = mx + b   [m is the slope, b is the y-intercept or the y value when x = 0 ---> (0, y)]

Since you know:

m = 4

[tex]b=-\frac{8}{9}[/tex]        Plug it into the equation

y = mx + b

[tex]y=4x-\frac{8}{9}[/tex]

Answer:

X + 12x +35+3x + 15=16x+50

Step-by-step explanation:

Answer:

9.01 maybe my math might be wrong

Step-by-step explanation:

Answer:

In total it would be $10.71

Step-by-step explanation:

Turn the percent into a decimal, 6% into 0.06. Then multiply that with 8.50.

8.50×0.06= 0.51

Now, turn 20% into a decimal and multiply that with 8.50.

8.50×0.20= 1.70

Then, add 0.51 and 1.70 to 8.50.

0.51+1.70+8.50= 10.71

The right answer is Option D.

Step-by-step explanation:

Given,

Retail price = $12,720

Destination charge = $460

Cruise control = $235

Defogger = $148

AM/FM radio = $153

Sticker price = Sum of all feature costs

Sticker price = 12720+460+235+148+153

Sticker price = $13716

The right answer is Option D.

Keywords: addition

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Final answer:

To find the vehicle's sticker price, add the suggested retail price to the destination charge and the costs of additional features, resulting in a total of $13,716.

Explanation:

The question involves calculating the total sticker price for a vehicle by adding up various costs. We start with the suggested retail price, then include the destination charge and the costs of the additional features such as cruise control, defogger, and an AM/FM radio.

To find the total sticker price, we simply add all of these amounts together:

Sticker Price = Suggested Retail Price + Destination Charge + Cost of Cruise Control + Cost of Defogger + Cost of AM/FM Radio

Sticker Price = $12,720 + $460 + $235 + $148 + $153 = $13,716

Therefore, the correct answer is d. $13,716.

Answer:

Elephant

Bengal tiger

Lion

Giraffe

Giant panda

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

Answer:

c=45

Step-by-step explanation:

In triangle ABC, if a=12, b=10 and the measure of angle C=45 ..

Answer:

20.4

Step-by-step explanation:

Answer:

QR = 19

SR = 24

PT = 21

SQ = 20

m∠QRS = 74°

m∠PQS = 49°

m∠RPS = 39°

m∠PSQ = 57°

Step-by-step explanation:

Attached is the complete question:

By definition, a parallelogram is a quadrilateral, which means it has 4 sides where the opposite pairs are parallel to each other. These pair of sides are congruent.

With that we can assume the following:

PQ ≅ SR

PS ≅ QR

m∠PQR ≅ m∠ PSR

m∠QRS ≅ m∠ QPS

The given states that:

PQ ≅ SR

PS ≅ QR

then:

PQ = 24

PS = 19

So we know that:

QR = 19

SR = 24

When it comes to the angles, we have the following theorems:

Opposite angles (Opposite edges) are congruent

Consecutive angles are supplementary, or they sum up to 180°

We are given the following angles:

m∠PQR = 106°

m∠QSR = 49°

m∠PRS = 35°

Based on the theorems we know the following:

m∠PQR ≅ m∠PSR

m∠PQR + m∠QRS = 180°

Then:

m∠PQR + m∠QRS = 180°

106° + m∠QRS = 180°

m∠QRS = 180° - 106°

m∠QRS = 74°

In addition, m∠PSR = 106° and m∠QSR = 49° then when we add it to m∠PSQ it should be equal to m∠PSR

m∠QSR + m∠PSQ = m∠PSR

49° + m∠PSQ = 106°

m∠PSQ = 106° - 49°

m∠PSQ = 57°

Now notice that a parallelogram when you cut them in half, it makes two congruent triangles. All angles in a triangle sum up to 180° so we can assume that:

m∠PSR + m∠PRS + m∠RPS = 180°

So:

106° + 35° + m∠RPS = 180°

141° + m∠RPS = 180°

m∠RPS = 180° - 141°

m∠RPS = 39°

Following the same logic:

m∠QPS ≅ m∠QRS

m∠QPS  = 74°

m∠QPS + m∠PSQ + m∠PQS = 180°

74° + 57° + m∠PQS = 180°

131° + m∠PQS = 180°

m∠PQS = 180° - 131°

m∠PQS = 49°