Final answer:
After rotating point A(−9,12) first clockwise 180° and then counterclockwise 90°, the new coordinates will be (12,9).
Step-by-step explanation:
The original coordinates of point A are −9,12). To find the new coordinates after rotating it clockwise 180° and then counterclockwise 90°, we perform two transformations.
First, a 180° clockwise rotation about the origin changes the signs of both coordinates, so the new coordinates will become (9,−12).
Then, we rotate this new point counterclockwise 90°. To do this rotation, we switch the coordinates and change the sign of the first coordinate, resulting in the final position of (12,9).
Hence, after rotating A(9,12) clockwise 180° and then counterclockwise 90°, the new coordinates of point A are (12,9).