Part A: Under a dilation of scale factor centered at (3,7), PT becomes RT", Determine the coordinates of R'T" and sketch R'T' on the
graph
Part B: Under a dilation of scale factors centered at (-1,9), PT becomes
LM. Determine the coordinates of LM and sketch TM on the
graph

9514 1404 393

  see below

Step-by-step explanation:

Dilation changes the distance to the center of dilation by a factor equal to the scale factor.

Part A:

Point R is 2 grid squares left and 6 grid squares down from the center of dilation at (3, 7). So, point R' will be (3/2)(2) = 3 grid squares left and (3/2)(6) = 9 grid squares down from that center.

Likewise, point T is 2 square diagonals down and right of (3, 7), so T' will be 1 more square diagonal farther.

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Part B:

As in Part A, the scale factor multiplies the distance from the center of dilation. L will be the midpoint between R and (-1, 9); M will be the midpoint between T and (-1, 9).

the graph on the bottom right

x > 1.3

step by step:

8.5−0.9x> 9.8−1.9x

step 1: simplify both sides of the inequality.

−0.9x+8.5> −1.9x+9.8

step 2: add 1.9x to both sides.

−0.9x+8.5+1.9x> −1.9x+9.8+1.9x

1x+8.5> 9.8

step 3: subtract 8.5 from both sides.

1x+8.5−8.5> 9.8−8.5

1x> 1.3

step 4: divide both sides by 1.

1x/1 > 1.3/1