Circle O, with center (x, y), passes through the points A(0, 0), B(–3, 0), and C(1, 2). Find the coordinates of the center of the circle. In your final answer, include all formulas and calculations used to find Point O, x, y), the center of circle O.

(x + 3/2)² + (y - 2)² = 25/4

Step-by-step explanation:

(x - h)² + (y - k)² = r²

(0,0)

(0 - h)² + (0 - k)² = r²

h² + k² = r²

(-3,0)

(-3 - h)² + (0 - k)² = r²

9 + 6h + h² + k² = r²

9 + 6h + r² = r²

9 + 6h = 0

h = -9/6 = -3/2

(1,2)

(1 - h)² + (2 - k)² = r²

1 - 2h + h² + 4 - 4k + k² = r²

5 - 2h - 4k + h² + k² = h² + k²

5 - 2(-3/2) - 4k = 0

8 = 4k

k = 2

(x - (-3/2))² + (y - 3)² = r²

(x + 3/2)² + (y - 2)² = r²

Use any point to find r²

(0 + 3/2)² + (0 - 2)² = r²

9/4 + 4 = r²

r² = 25/4

(x + 3/2)² + (y - 2)² = 25/4

a) 32pie square meters

step-by-step explanation:

$97520

step-by-step explanation:

add 6% to the value she got from selling the house.