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I really need help with this asap! thank you so much!

I really need help with this asap! thank you so much!-example-1

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Answer:

Center → (1, -3)

Radius → 5 units

Explanation:

Equation of the given circle is,

x² + y² - 2x + 6y - 15 = 0

Now convert this equation into the standard equation of the circle

x² - 2x + y² + 6y - 15 = 0

x² -2x + 1 - 1 + y² + 2(3)(y) + 9 - 9 - 15 = 0

(x² - 2x + 1) - 1 + (y² + 2(3y) + 9) - 9 - 15 = 0

(x - 1)² + (y + 3)² - 10 - 15 = 0

(x - 1)² + (y + 3)² = 25

(x - 1)² + (y + 3)² = 5²

By comparing this equation with the standard equation of the circle,

(x - h)²+ (y - k)² = r²

Where (h, k) is the center and r is the radius of the circle.

Center of the circle → (1, -3)

Radius of the circle → 5 units

I really need help with this asap! thank you so much!-example-1
User Shirker
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