The foci of the hyperbola are (13, 0) and ( - 13, 0), and the asymptotes are y = 12 x and y = - 12 x. find an equation of the conic section with the given properties. use x and y as the variables in your answer.

Question

Mathematics

Sheldon

22 April, 10:44

The foci of the hyperbola are (13, 0) and ( - 13, 0), and the asymptotes are y = 12 x and y = - 12 x. find an equation of the conic section with the given properties. use x and y as the variables in your answer.

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Answers (1)

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Sierra Stevenson · Answer 1

Y=k + - a/b (x-h)

y=-+12x

12=a/b

a=12b

c²=a²+b²

(13,0) and (-13,0)

13² = (12b) ²+b²

169=145b²

b = 13/12

169=a²+169/145

a² = 24336/145

x²/a²-y²/b²=1

145x²/24336 + 145y²/169=1