Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter2: Working With Real Numbers
Section2.6: Rules For Multiplication
Problem 32WE
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Question
Equations of ellipses and hyperbolas Find an equation of the following ellipses and hyperbolas, assuming the center is at the origin.
Transcribed Image Text:y.
4
(-4, 0) (4, 0)
+
2
Focus
Focus
(-5, 0).
(5, 0)
Expert Solution
Step 1
The center of the hyperbola given in the image is origin (0,0).
a is the distance between the center and vertex and vertex is (4,0) and (-4,0). So, the value of a will be,
c is the distance between center and focus (5,0). So, the value of c will be,
Now, the value of b is calculated as,
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