n Exercises 17–23, find the eccentricity of the hyperbola. Then find and graph the hyperbola’s foci and directrices. 17. x2 - y2 = 1 18. y2 - x2 = 8 19. 8x2 - 2y2 = 16 20. 8y2 - 2x2 = 16 21. 9x2 - 16y2 = 144 22. y2 - x2 = 4 23. y2 - 3x2 = 3
n Exercises 17–23, find the eccentricity of the hyperbola. Then find and graph the hyperbola’s foci and directrices. 17. x2 - y2 = 1 18. y2 - x2 = 8 19. 8x2 - 2y2 = 16 20. 8y2 - 2x2 = 16 21. 9x2 - 16y2 = 144 22. y2 - x2 = 4 23. y2 - 3x2 = 3
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.3: Hyperbolas
Problem 59E
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n Exercises 17–23, find the eccentricity of the hyperbola. Then find and graph the hyperbola’s foci and directrices.
17. x2 - y2 = 1
18. y2 - x2 = 8
19. 8x2 - 2y2 = 16
20. 8y2 - 2x2 = 16
21. 9x2 - 16y2 = 144
22. y2 - x2 = 4
23. y2 - 3x2 = 3
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