Answer:
(-18, 15)
Step-by-step explanation:
Given the coordinate (5, 6), we are to rotate it 270 degree clockwise about the origin first and then dilate the result by a factor of 3.
After rotating clockwise at 270 degrees, the resulting coordinate will be at (-6, 5).
Dilating by a factor of 3 is gotten by multiplying each coordinats by 3 as shown;
(3(-6), 3(5)) = (-18, 15)
Therefore the required coordinate is (-18, 15)
Note that we rotated clockwisely since the question didn't ask us whether we should rotate clockwise or anticlockwise