Quadrilateral rust has a vertex (2,4). What are the coordinates of r' after a dilation of scale factor 3, centered at the origin, followed by translation (x, y) to (x+4,y)

The coordinates of r' are x = 10 and y = 12.

Step-by-step explanation:

The vertex experiments two operations: Dilation and translation, whose definitions are presented herein:

Dilation with respect to origin

,

Translation

,

If and , then:

1) Given.

2) Dilation with respect to origin.

3) Vectorial sum and scalar multiplication.

4) Translation.

5) Vectorial sum. Result.

The coordinates of r' are x = 10 and y = 12.

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step-by-step explanation:

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