AhmireE24522 AhmireE24522

25-10-2022
Mathematics

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what is the image of 2,10 after a dilation by a scale factor of 1/2 centered at the origin

what is the image of 210 after a dilation by a scale factor of 12 centered at the origin class=

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AnavQ62234 AnavQ62234

25-10-2022

A dilation is given by:

[tex](x,y)\rightarrow(kx.ky)[/tex]

where k is the scale factor.

In this case we have:

[tex](2,10)\rightarrow(\frac{1}{2}\cdot2,\frac{1}{2}\cdot10)=(1,5)[/tex]

Therefore the image is the point:

[tex](1,5)[/tex]

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