Answer:
(B) (22.5, -12.5)
Step-by-step explanation:
When the point [tex](9,-5)[/tex] is dilated by with a scale factor of 2.5
In a dilation, when its scale factor is less than 1, the pre-image will be lesser than the image.
However, when the scale factor is greater than 1, the pre-image will be greater than the image.
The Image of the dilation of [tex](9,-5)[/tex] with a scale factor of 2.5 is therefore:
[tex](9*2.5,-5*2,5)\\=(22.5, -12.5)[/tex]
The correct option is B.
