Which is an equation of a circle with the center (-5, -7) and radius 6?

A.) (x - 5)^2 + (y - 7)^2 = 6

B.) (x + 7)^2 + (y + 5)^2 = 36

C.) (x + 5)^2 + (y + 7)^2 = 6

D.) (x + 5)^2 + (y + 7)^2 = 36

Respuesta :

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Answer:

D) (x + 5)² + (y + 7)² = 36

Step-by-step explanation:

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Note : a circle with center (a , b) and radius r has an equation of the form:

(x - a)² + (y - b)² = r²

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and according to the provided informations

a = -5

b = -7

r = 6

therefore

the equation of the circle is :

[tex](x+5)^{2} +(y+7)^{2} =36[/tex]

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:)

D You would change the symbols and times 6 by itself

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