Answer:
The scale factor of dilation is 2.
Step-by-step explanation:
From the given information it is notices that the vertices of preimage are A(1, 4), B(3, 4), C(3, 1), and D(1, 1). The vertices of image are A'(2, 8), B'(6, 8), C'(6, 2) and D'(2, 2).
The scale factor is the ratio of distance of a image of a vertex from the center of dilation and distance of the vertex from the center of dilation.
The center of dilation is origin. So, the scale factor is
.... (1)
Distance formula:
![d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B%28x_2-x_1%29%5E2%2B%28y_2-y_1%29%5E2%7D)
![OA'=\sqrt{(2-0)^2+(8-0)^2}=\sqrt{4+64}=\sqrt{68}=2\sqrt{17}](https://tex.z-dn.net/?f=OA%27%3D%5Csqrt%7B%282-0%29%5E2%2B%288-0%29%5E2%7D%3D%5Csqrt%7B4%2B64%7D%3D%5Csqrt%7B68%7D%3D2%5Csqrt%7B17%7D)
![OA=\sqrt{(1-0)^2+(4-0)^2}=\sqrt{1+16}=\sqrt{17}](https://tex.z-dn.net/?f=OA%3D%5Csqrt%7B%281-0%29%5E2%2B%284-0%29%5E2%7D%3D%5Csqrt%7B1%2B16%7D%3D%5Csqrt%7B17%7D)
Now, put these values in equation (1).
![k=\frac{2\sqrt{17}}{\sqrt{17}}](https://tex.z-dn.net/?f=k%3D%5Cfrac%7B2%5Csqrt%7B17%7D%7D%7B%5Csqrt%7B17%7D%7D)
![k=2](https://tex.z-dn.net/?f=k%3D2)
Therefore the scale factor of dilation is 2.
The answer is 3 (mostly must be on board).
Quick information:
Pyrotechnic Visual Distress Signals (flares, smoke signals, rockets and etc.)
- required to carried upon by the Coast Guard
-choices include varieties of red handheld or aerial flares for day and for night use
Answer:
10x - 5y = 15
-5y = -10x + 15
y = 2x - 3
Step-by-step explanation:
Hello!
1.
The area of a rectangle is lenth * width
So 16 * 6 = 96
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2.
The area of a square is a side^2
So 11^2 = 121
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3.
The area of a parallelogram is base * height
So 14 * 9 = 126
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4.
It is a parallelogram again
So 12 * 8 = 96
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5.
The area of a triangle is
![\frac{h * b}{2}](https://tex.z-dn.net/?f=%20%5Cfrac%7Bh%20%2A%20b%7D%7B2%7D%20)
h is height and b is base
15 * 19 = 285
285/2 = 142.5
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for number 6 I do not remember how to do that sorry
Hope this helps!<span />