У 9
8
7 Figure T
6
5
4
Figures
3
2
1
A (x, y) → (2x, 2y)
B (x, y) → (4x, 4y)
x
-9-8-7 -6 -5 -4 -3 -2 -
5 6 7 8 9
C (X, Y) ->(x, y)
• (x, y) (2 - x - y)
-6
-7
-8
(the image shown has been resized to fit)
Figure S, the small arrow, was dilated with the origin as the center of dilation to create Figure T, the large arrow.
Which rule best represents the dilation that was applied to Figure S to create Figure T?

7.9m and 4.3°

step-by-step explanation:

let east be +x and north be +y, x = distance * cos θ, y = distance * sin θ  

for 3.5 south, y = -3.5  

for 8.2, x = 8.2 * cos 30 and y = 8.2 * sin 30  

for 15 west, x = -15  

total x = 8.2 * cos 30 – 15 ≈ -7.9  

total y = -3.5 + 8.2 * sin 30 = 0.6  

magnitude = [(8.2 * cos 30 – 15)^2 + 0.6^2)]^0.5  

the magnitude is approximately 7.9 m  

tan θ = y/x = 0.6/-7.9  

the angle is approximately 4.3˚ north of west

answer: c. im 100 percent sure

step-by-step explanation: