Pentagon ABCDE is dilated according to the rule
DO,3(x, y) to create the image pentagon A'B'C'D'E', which is shown on the graph.

On a coordinate plane, pentagon A prime B prime C prime D prime E prime has points (negative 3, 6), (negative 0.5, 8), (2, 6), (1, 3), and (negative 2, 3).

What are the coordinates of point A of the pre-image?

(-1, 1)
(-1, 2)
(-9, 6)
(-9, 18)

Step-by-step explanation:

The factor of dilation is 3, which means each coordinate of the figure A'B'C'D'E' is three times bigger than the original coordinates.

That is:

So, if , then its original coordinate is .

Because -1(3) = -3 and 2(3) = 6.

Therefore, the right answer is the second choice, (-1, 2).

x= -3

step-by-step explanation:

step 1: simplify brackets

4 - x - 1 = 6

step 2: simpilfy

3 - x = 6

step 3: subtract 3 from both sides

-x = 6 - 3

step 4: simpilfy 6 - 3

-x = 3

step 5: multiply both sides by -1

x = -3

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step-by-step explanation: