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elixir [45]
4 years ago
6

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

Mathematics
1 answer:
Lelechka [254]4 years ago
8 0
First find the radius of the circle:
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
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