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

answer: i don't understand it

step-by-step explanation: sorry

answer: 4 meters

step-by-step explanation: to you understand 2/3 better you can do 1 divided by 3 = . then multiply that by the 2 which is .66666666666666667 then you would do 6 x .66666666666666667 which is 4.      

hope this .