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8 February, 04:08

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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  1. 8 February, 04:13
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    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
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