Dilation involves changing the size of a point.
The image of (9,0) after a dilation by a scale factor of 2 centered at the origin is (18,0)
The point (P) is given as:
[tex]P = (9,0)[/tex]
The scale factor (k) is given as:
[tex]k = 2[/tex]
The image after a dilation centered at the origin is the product of the coordinates of the point and the scale factor.
So, we have:
[tex]P' = P \times k[/tex]
This gives
[tex]P' = (9,0) \times 2[/tex]
Expand
[tex]P' = (9\times 2,0\times 2)[/tex]
Evaluate the products
[tex]P' = (18,0)[/tex]
Hence, the image of (9,0) is (18,0)
Read more about dilation at:
https://brainly.com/question/18549175
