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Which is an equation of a circle with center (-5, -7) that passes through the point (0, 0)?

a.) (x + 5)2 + (y + 7)2 = 74

b.) (x - 5)2 + (y - 7)2 = 74

c.) (x - 5)2 + (y - 7)2 = 37

d.) (x + 5)2 + (y + 7)2 = 37

Answer :

equestriangirl131
First find the radius of the circle:
[tex]r = \sqrt{(-5 - 0)^{2} + (-7 - 0)^{2} } \\ r = \sqrt{(-5)^{2} + (-7)^{2} } \\ r = \sqrt{25 + 49} \\ r \sqrt{74} \\ r^{2} = 74 \\ (x - (-5))^{2} + (y - (-7))^{2} = 74 \\ (x + 5)^{2} + (y + 7)^{2} = 74[/tex]

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