У 9
8
7 Figure T
6
5
4
Figures
3
2
1
A (x, y) → (2x, 2y)
B (x, y) → (4x, 4y)
x
-9-8-7 -6 -5 -4 -3 -2 -
5 6 7 8 9
C (X, Y) ->(x, y)
• (x, y) (2 - x - y)
-6
-7
-8
(the image shown has been resized to fit)
Figure S, the small arrow, was dilated with the origin as the center of dilation to create Figure T, the large arrow.
Which rule best represents the dilation that was applied to Figure S to create Figure T?

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is

d 25 pi/6

step-by-step explanation:

the diameter is 10 inches

the radius is 1/2 of the diameter or 5 inches

the area of the circle is

a = pi r^2

  = pi 5^2

  = 25 pi

the slice is 60 degrees of the entire circle.

60 degrees out of 360   60/360 = 1/6

the area of the slice is 1/6 of the circle

a slice = 1/6 a circle

a slice = 1/6 * 25 pi