Answer:
The coordinates of P' are
Step-by-step explanation:
Given a point (x,y). If we have a dilation by a scale factor of r, centered at the origin, we have that the coordinates of (x,y) in the new system is given by (r*x,r*y).
Assumign that this dilation is centered at the origin, then if P is the point (-6,4) then the point P' is
The value of this expression is
In order to find this, you divide each term separately. First we'll start with the numbers in the front.
Now that we have the first number, we look to the 10s and the powers they are raised to. Since we are looking at powers of the same number, we can use the properties of exponents to simply subtract the numbers they are raised to.
Then we put the two back together for the final answer.
