allenlandon024 allenlandon024
  • 02-06-2021
  • Mathematics
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What is the radius in the eqution below? (x - 5) ^ 2 + (y + 3) ^ 2 = 49

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themathexpertise
themathexpertise themathexpertise
  • 02-06-2021

Answer:

7.

Step-by-step explanation:

The equation of a circle is

(x - h)² + (y - k)² = r²

Where

(h, k) is the center and r is the radius, so we only need to work with r.

The expression states that

r² = 49 or the radius squared is equal to 49. So solve for r to find the radius.

r² = 49

Take the square root.

r = 7

The radius of the equation is 7.

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