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UNO [17]
2 years ago
9

Given the preimage and image, find the dilation scale factor​

Mathematics
1 answer:
77julia77 [94]2 years ago
8 0

Given:

The preimage and image of a triangle in the given figure.

To find:

The dilation scale factor.

Solution:

From the given figure it is clear that the vertices of the triangle ABC are A(-2,-2), B(-1,2) and C(2,1).

The vertices of the triangle A'B'C' are A'(-4,-4), B'(-2,4) and C'(4,2).

If a figure is dilated by factor K with (0,0) as the center of dilation, then

(x,y)\to (kx,ky)

Let the scale factor be K, then the image of point A is:

A(-2,-2)\to A'(k(-2),k(-2))

A(-2,-2)\to A'(-2k,-2k)

From the given figure it is clear that the image of point A is A'(-4,-4).

A'(-2k,-2k)=A'(-4,-4)

On comparing both sides, we get

-2k=-4

k=\dfrac{-4}{-2}

k=2

Therefore, the dilation scale factor is 2.

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What should be done to both sides of the equation in order to solve y + 8.5 = 17.2?
Amanda [17]

Answer:

Subtract 8.5

Step-by-step explanation:

To solve the equation, y has to be isolated (only y will be on one side of the equation)

To do this, we have to get rid of the 8.5, so it has to be subtracted from both sides.

So, the correct answer is subtract 8.5

7 0
2 years ago
Read 2 more answers
A triangular prism has an equilateral base with each side of the triangle measuring 8.4 centimeters. The height of the prism is
BartSMP [9]

Answer:

it should be D

Step-by-step explanation:

6 0
3 years ago
Pleaseee help me with these i did some but just wanna make sure I'm in the same page if its right. please explain how you got it
Sergeeva-Olga [200]
1. P = 2(9) + 2(4.5)
P = 18 + 9
P = 27 m

2. P = 5.2(2) + 1.3(2)
P = 10.4 + 2.6
P = 13 ft

3. P = 12.9(2) + 4.7(2)
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5 0
2 years ago
Carla is arranging square patches of grass on her rectangular lawn her lawn is 10 yards wide and 3 and 1/2 yards long how many s
mezya [45]

Answer:

I don't know if this is correct but wouldn't it be 560?

Step-by-step explanation:

If you have 10 on one side, you divide 10 by 1/4 to get 40. So you need 40 blocks to fill one side, and 3 1/2 on the other only needs 14. 14*40=560.

5 0
2 years ago
The slope of the line below is ___.​
worty [1.4K]

Answer:

0

Step-by-step explanation:

The slope of a horizontal line is 0.

/ is a positive slope

\ is a negative slope

A horizontal line has a slope of 0

A vertical line has an undefined slope.

You can verify this by using the slope formula

m=\frac{y_{2}-y_{1}  }{x_{2} -x_{1} }

m = \frac{-3 -(-3)}{-11-4}

m = \frac{0}{-15}

8 0
1 year ago
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