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An equation of a hyperbola is given. 25x2 − 16y2 = 400 (a) Find the vertices,...

An equation of a hyperbola is given.

25x2 − 16y2 = 400

(a) Find the vertices, foci, and asymptotes of the hyperbola. (Enter your asymptotes as a comma-separated list of equations.)

vertex (x, y) =
(smaller x-value)
vertex (x, y) =
(larger x-value)
focus (x, y) =
(smaller x-value)
focus (x, y) =
(larger x-value)
asymptotes    

(b) Determine the length of the transverse axis.

(c) Sketch a graph of the hyperbola.

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