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I need this asap please if anyone can help i will be so grateful

I need this asap please if anyone can help i will be so grateful-example-1

1 Answer

5 votes

Answer:

centre = (- 4, 8 ) , radius = 3

Explanation:

the equation of a circle in standard form is

(x - h)² + (y - k)² = r²

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

given

x² + 8x + y² - 16y + 71 = 0 ( subtract 71 from both sides )

x² + 8x + y² - 16y = - 71

using the method of completing the square

add ( half the coefficient of the x and y terms )² to both sides

x² + 2(4)x + 16 + y² + 2(- 8)y + 64 = - 71 + 16 + 64

(x + 4)² + (y - 8)² = 9 , that is

(x - (- 4))² + (y - 8)² = 3² ← in standard form

with centre = (- 4, 8 ) and r = 3

User Sam Skirrow
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