This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Step 1: Perform the rotation of point C(-7,5) 90° clockwise around the origin O(0,0). A rotation of 90° clockwise around the origin transforms a point (x,y) to (y, -x). For C(-7,5): C' = (5, -(-7)) C' = (5, 7) Step 2: Perform the translation on the rotated point C'(5,7). The translation vector is T = 3 \\ -4 . A translation by vector a \\ b transforms a point (x,y) to (x+a, y+b). For C'(5,7) and T = 3 \\ -4 : C'' = (5 + 3, 7 + (-4)) C'' = (8, 7 - 4) C'' = (8, 3) The final image of the point is (8,3). What's next?