Find the equation of a hyperbola satisfying the given conditions.Vertices at (0, 12) and (0, 12); foci at (0, 20) and (0, -20)The equation of the hyperbola is(Type an equation. Type your answer in standard form.)

Vertices at (0,12) and (0,-12) foci at (0,20) and (0,-20)

Answered: Find the equation of a hyperbola…

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter7: Conic Sections And Quadratic Systems

Section7.CT: Chapter Test

Problem 16CT

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Sonic boom The position of a sonic boom caused by the faster-than-sound aircraft is one branch of the hyperbola y2x2=25 in the coordinate system shown. How wide is the hyperbola 5 miles from its vertex?
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aUse the discriminant to determine whether the graph of the following equation is a parabola, an ellipse, or a hyperbola: 5x2+4xy+2y2=18 b Use rotation of axes to eliminate the xy-term in the equation. c Sketch a graph of the equation. d Find the coordinates of the vertices of this conic in the xy-coordinate system.

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Find the equation of a hyperbola satisfying the given conditions. Vertices at (0, 12) and (0, - 12); foci at (0, 20) and (0, -20) The equation of the hyperbola is (Type an equation. Type your answer in standard form.)