Answer:
S''(-3/2, 9/2)
Explanation:
In a dilation, the coordinates of every ordered pair in the pre-image are multiplied by the scale factor to create the ordered pairs of the image.
The first dilation has a scale factor of 1/2. This maps:
R(-6, 10)→R'(-6/2, 10/2) = R'(-3, 5)
S(-2, 6)→S'(-2/2, 6/2) = S'(-1, 3)
T(-10, 0)→T'(-10/2, 0/2) = T'(-5, 0)
The second dilation has a scale factor of 3/2:
R'(-3, 5)→R''(-9/2, 15/2)
S'(-1, 3)→S''(-3/2, 9/2)
T'(-5, 0)→T''(-15/2, 0)
This makes S'' have coordinates (-3/2, 9/2).