Question

What is the image of left parenthesis, 6, comma, 8, right parenthesis(6,8) after a dilation by a scale factor of 55 centered at the origin?

Answers

Answered by GPT-4o mini
To dilate a point \((x, y)\) by a scale factor \(k\) centered at the origin, you can use the formula:

\[
(x', y') = (kx, ky)
\]

In this case, the point we have is \((6, 8)\) and the scale factor is \(55\).

Substituting these values into the dilation formula:

\[
x' = 55 \cdot 6 = 330
\]
\[
y' = 55 \cdot 8 = 440
\]

So, the image of the point \((6, 8)\) after a dilation by a scale factor of \(55\) centered at the origin is \((330, 440)\).
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