Step-by-step explanation:
50-50+15d =125-50
15d = 75
15d/15=75/15
d=5
The length of LM Left and M
You are given triangle RST with vertices R(-3,-1), S(-1,-1) and T(-4,-5).
1. Apply the rotation of 90° counterclockwise about the origin that has a rule:
(x,y)→(-y,x).
Then
- R(-3,-1)→R''(1,-3),
- S(-1,-1)→S''(1,-1),
- T(-4,-5)→T''(5,-4).
2. Second transformation is translation 1 unite up with a rule:
(x,y)→(x,y+1).
So
- R''(1,-3)→R'(1,-2);
- S''(1,-1)→S'(1,0);
- T''(5,-4)→T'(5,-3).
As you can see these points are exactly those from the task condition.
Answer: 1st transfomation is rotation of 90° counterclockwise about the origin and 2nd transformation is translation 1 unite up
The constant of proportionality is 5. For every time the total area "A" is multiplied by one the length is multiplied by 5.