2. draw the image of rst under the dilation with scale factor 2/3 and center of dilation (1,-1). label the image rst .

From the graph: we have the coordinates of RST i.e,

R = (2,1) , S = (2,-2) , T = (-1,-2)

Also, it is given the scale factor and center of dilation C (1,-1)

The mapping rule for the center of dilation applied for the triangle as shown below:

or

or

Now,  

for R = (2,1)  

the image R' = or

⇒ R' =  

For S = (2, -2) ,

the image S'=   or

⇒ S' =

and For T = (-1, -2)

The image T' =   or

⇒ T' =

Now, label the image of RST on the graph as shown below in the attachment:

step-by-step explanation:

3. (5x + 1) - (-10x + 6)

simplify the answer choice. combine like terms. remember to distribute the negative to the terms inside the second parenthesis. also remember that two negatives = one positive, and one of each sign = negative.

- (-10x + 6) = + 10x - 6

simplify. combine like terms:

5x + 1 + 10x - 6

5x + 10x + 1 - 6

15x - 5

∴ it is your answer

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