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Determine whether the equation 25x2 – 16y2 = 400 represents a hyperbola. If so, write it in standard form.

Determine whether the equation 25x2 – 16y2 = 400 represents a hyperbola. If so, write it in standard form.

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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Question
  • Determine whether the equation 25x2 – 16y2 = 400 represents a hyperbola. If so, write it in standard form.
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Follow-up Question

How is b equal to zero?

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Can you please further explain how we know its a hyerbola please

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