The composition is applied to △rst to create the image of △r"s"t", which is not shown. what are the coordinates of point s"?

S''(-3/2, 9/2)

Step-by-step 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).

r(0,90)(x,y) . t(-5,0)

last option

step-by-step explanation:

∆def to ∆d"e"f"

- rotate 90 counterclockwise degrees

- then translated 5 to the left (x --> x - 5)

answer is the last option