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Juliette [100K]
3 years ago
13

Please help me please

Mathematics
1 answer:
Mumz [18]3 years ago
4 0

Answer:

(x + 5)² + (y + 8)² = 49

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

here (h, k) = (- 5, - 8), so

(x - (-5))² + (y - (- 8))² = r², that is

(x + 5)² + (y + 8)² = r²

The radius is the distance from the centre to a point on the circle

Use the distance formula to calculate r

r = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = (- 5, - 8) and (x₂, y₂ ) = (2, - 8)

r = \sqrt{(2+5)^2+(-8+8)^2} = \sqrt{7^2+0^2} = \sqrt{49} = 7

r = 7 ⇒ r² = 7² = 49

Hence

(x +5)² + (y + 8)² = 49 ← equation of circle

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