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
Related questions
Question
How do you know whether to put y2/a first or x2/a first?
Transcribed Image Text:9.3: Hyperbolas
Chapter 9: Topics in Analytic Geometry
Write the equation of the hyperbola in standard form, identify the center, vertices, foci, and slope of the asymptotes,
then sketch the hyperbola.
2
1. 4y²-9x² = 36
2
36 36 36
x² 2
4
=1
²a=3²/16 = 2
¥²
C:(0,0)
V: (0,3)
(0,3).
F: (0,₂413) ←
(0₁-√13)
(2= a² + b²
9+4
C=√13
за
2. b
m asymps: ±
2. 16x²-9v² +64x+18y-89=0
-6 -4 --2
Ay
4
6
X
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Follow-up Question
How do you know that y2/a has to come first?
Transcribed Image Text:Ly-0) 2
(3)²
(x-01²
(2)2
=1
Solution
by Bartleby ExpertFollow-up Question
How would you know which equation to use if you were just given this problem?
Transcribed Image Text:Write the equation of the hyperbola in standard form, identify the center, vertices, foci, and slope of the asymptotes,
then sketch the hyperbola.
2
1. 4y²-9x² = 36
Solution
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