20: 1,2,4,5,10,20
28: 1,2,4,7,14,28
Answer:
z = 2
y = 5
Step-by-step explanation:
When dilation is about the origin, as it is here in every case, the image point coordinates are the original (pre-image) coordinates multiplied by the scale factor.
1. Multiply every coordinate value by 5:
... W' = (-5, 10), X' = (-15, -5), Y' = (25, -5), Z' = (15, 10)
2. Multiply every coordinate value by 1/3:
... A' = (-2, 5), B' = (0, 5/3), C' = (1, 10/3)
3. A' = (2, 8), B' = (6, 2), C' = (2, 2)
4. The image coordinates are 5 times the original coordinates, so ...
... the scale factor of the dilation is 5.
Width of the rectangle is 14 ft
Step-by-step explanation:
- Step 1: Let the width of the rectangle be x. Then length = 8 + x. Perimeter = 72 ft.
Perimeter = 2(length + width)
72 = 2 (8 + x + x)
72 = 16 + 4x
4x = 56
x = 56/4 = 14
∴ Width of the rectangle is 14 ft
The line slopes downward. More specifically, as x increases, y decreases. Since x is the number of hours trained and y is the mile time, this must mean that the more Mario trains, the shorter his mile time gets.
