Respuesta :
Answer:
The point (x,y) is [tex](\dfrac{-3}{2},\dfrac{-5}{2})[/tex].
Step-by-step explanation:
We are given that,
[tex]D_{0,-2}(x,y)=(3,5)[/tex]
That is,
The image of the point (x,y) after dilation with center as the origin and scale factor -2 is (3,5).
So, we get,
[tex]\dfrac{3}{x}=-2\\\\x=\dfrac{-3}{2}[/tex]
[tex]\dfrac{5}{y}=-2\\\\x=\dfrac{-5}{2}[/tex]
Thus, the point (x,y) is [tex](\dfrac{-3}{2},\dfrac{-5}{2})[/tex].