Answer:
the origin, (0, 0)
Step-by-step explanation:
The coordinates of A' are 1/2 those of A, meaning each has been multiplied by the scale factor 1/2. When the dilated points are all the original points multiplied by the scale factor, the center of dilation is the origin.
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For center of dilation Q, the image of a point A after dilation by a factor of k is ...
A' = kA + (k-1)Q
Then for points A, A', and dilation factor k, the center of dilation can be found to be ...
(A' -kA)/(k-1) = Q
Here, that is ...
Q = ((-2, -2) -(1/2)(-4, -4))/(1/2 -1) = (0, 0)/(-1/2)
Q = (0, 0)
This is simple. Just add the x and y values of each ordered pair to see which ones equals 2.
The answer is (-4, 6), (0, 2), (4, -2)
Answer:
D. all the steps are incorrect
Step-by-step explanation:
she needs to distribute the 2 into the parenthesis first due to PEMDAS
2x+2+1= 5
2x+3=5 then isolate the x
-3 -3
2x=2
(2x)/2=2/2
x=1
Step-by-step explanation:
2x/3 -4 = x
multiply both side by 3
2x - 12 = 3x
-x = 12
x = -12