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Airida [17]
3 years ago
14

Complete the square to rewrite the following equation. Identify the center and radius of the circle. You must show all work and

calculations to receive credit x^2 - 4x + y^2 + 8y = -4​

Mathematics
1 answer:
Bond [772]3 years ago
8 0

<em>x</em> ² - 4<em>x</em> + <em>y</em> ² + 8<em>y</em> = -4

(<em>x</em> ² - 4<em>x</em> + 4) + (<em>y</em> ² + 8<em>y</em> + 16) = -4 + 4 + 16

(<em>x</em> - 2)² + (<em>y</em> + 4)² = 16

(<em>x</em> - 2)² + (<em>y</em> + 4)² = 4²

which is the equation of a circle centered at (2, -4) and with radius 4.

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