Find the values of x and y if (-x + 5, 1) = (-y, 2x - 5y).

x = 8, y = 3

Step-by-step explanation:

Equating corresponding x and y coordinates , then

- y = - x + 5 ( multiply through by - 1 )

y = x - 5 → (1)

2x - 5y = 1 → (2)

Substitute y = x - 5 into (2)

2x - 5(x - 5) = 1 ← distribute and simplify left side

2x - 5x + 25 = 1

- 3x + 25 = 1 ( subtract 25 from both sides )

- 3x = - 24 ( divide both sides by - 3 )

x = 8

Substitute x = 8 into (1) for corresponding value of y

y = 8 - 5 = 3

A = 201.0 mi^2

Step-by-step explanation:

The area of a circle is given by

A = pi r^2

We know that r = 8

A = (3.14) *8^2

A = 3.14 * 64

A = 200.96 mi ^2

Rounding to the nearest tenth

A = 201.0 mi^2