The composition D Subscript 0, three-halves (x, y) is a composition of D Subscript 0, one-half (x, y) is applied to △RST to create the image of △R"S"T", which is not shown. On a coordinate plane, triangle R S T has points (negative 6, 10), (negative 2, 6), and (negative 10, 0). What are the coordinates of point S"? (negative three-halves, nine-halves) (negative nine-halves, fifteen-halves) (nine-halves, negative three-halves) (negative fifteen-halves, 0)

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VanillaCoco VanillaCoco · Answer 1 · 2020-10-13T02:59:45+02:00

Answer:

A. (-3/2, 9,2)

Step-by-step explanation:

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MrRoyal MrRoyal · Answer 2 · 2021-10-12T08:16:31+02:00

Dilation is a transformation that changes the size of a shape.

The coordinates of point S" is: [tex]\mathbf{ (-\frac 32,\frac 92)}[/tex]

The transformation rule is given as:

[tex]\mathbf{D_{0,\frac 32}(x,y)} \circ\ D_{0,\frac 12}(x,y)}}[/tex]

This above rule means that:

From the complete question, the coordinate of S is:

[tex]\mathbf{S = (-2,6)}[/tex]

Apply the first transformation; i.e. multiply S by 3/2

So, we have:

[tex]\mathbf{S' = \frac 32 \times (-2,6)}[/tex]

[tex]\mathbf{S' = (-3,9)}[/tex]

Apply the next transformation; i.e. multiply S' by 1/2

So, we have:

[tex]\mathbf{S'' = \frac 12 \times (-3,9)}[/tex]

[tex]\mathbf{S'' = (-\frac 32,\frac 92)}[/tex]

Hence, the coordinates of point S" is: [tex]\mathbf{ (-\frac 32,\frac 92)}[/tex]