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what is the image of (8, 0) after a dilation by a scale factor of 5 centered at the origin?
answer attempt 1 out of 2
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Step1: Recall dilation rule (origin center)
For a dilation centered at the origin with scale factor $k$, the image of a point $(x,y)$ is $(k \cdot x, k \cdot y)$.
Step2: Substitute values into the rule
Here, $(x,y)=(8,0)$ and $k=5$.
$x' = 5 \cdot 8 = 40$
$y' = 5 \cdot 0 = 0$
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$(40, 0)$