Answer:
[tex]\boxed{A'(9,0)}[/tex]
Step-by-step explanation:
When we rotate a point we could rotate it in Clockwise direction because that's how the hand of a clock move, or rotate it in Counterclockwise direction that's the opposite rotation. In math, counterclockwise is defined as being a positive rotation while clockwise is defined as being a negative rotation.
On the coordinate plane, consider the point [tex](x,y)[/tex]. To rotate this point by 90° around the origin in clockwise direction, you can always swap the x- and y-coordinates and then multiply the new x-coordinate by -1. In a mathematical language this is as follows:
[tex](x,y)\rightarrow(y,-x)[/tex]
So:
[tex]A(0, 9) \rightarrow A'(9,0)[/tex]
Finally, the new point is:
[tex]\boxed{A'(9,0)}[/tex]
