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What are the coordinates of P' if P (-5,-4) undergoes a dilation, centered at the origin, with a scale factor of K=2?

Respuesta :

MrRoyal

Answer:

[tex]P' = (-10,-8)[/tex]

Step-by-step explanation:

Given

[tex]P = (-5,-4)[/tex]

[tex]k =2[/tex]

Required

Determine the image P'

P' is calculated by multiplying P and k.

i.e.

[tex]P' = P * k[/tex]

This gives:

[tex]P' = (-5,-4) * 2[/tex]

[tex]P' = (-5* 2,-4* 2)[/tex]

[tex]P' = (-10,-8)[/tex]

Hence, the image P' after dilating P is (-10,-8)

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