Question

question
what is the image of (8,0) after a dilation by a scale factor of 5 centered at the origin?
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Explanation:

Step1: Apply dilation formula

For a point \((x,y)\) dilated by a scale factor \(k\) centered at the origin, the formula is \((kx,ky)\). Here \(x = 8\), \(y=0\), \(k = 5\).

Step2: Calculate new coordinates

Substitute values: \(kx=5\times8 = 40\), \(ky=5\times0=0\).

Answer:

\((40,0)\)