Question

Please help me please

Answer 1

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