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Mathematics, 06.01.2021 18:20 2000070489

A telescope is being built using a hyperbolic mirror and parabolic mirror that share a focus. The hyperbolic mirror can be modeled using the equation (y-1)^2/144 - (x+4)^2/25 =1, and the parabolic mirror opens downward and has a vertex at (-4,-10). What are the coordinates of the focus they share?

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