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

mark branliest

step-by-step explanation:

.6 is 1/2 of 12

the answer is actually d. i just took the test

answer: 298143

step-by-step explanation: