Answer:
Center = (-3, 7)
radius = 5
Step-by-step explanation:
x² + y² + 6x – 14y + 33 = 0
Put the equation in standard form:
(x - h)² + (y - k)² = r²
(h, k) is the center
r is the radius
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Regroup
x² + 6x + y² - 14y = -33
Complete the square for x
(x + 3)² + (y - 7)² = -33 + 3² + (-7)²
(x + 3)² + (y - 7)² = 25
Center = (h, k) = (-3, 7)
radius = √25 = 5
