Exercises 27–34 give equations for hyperbolas. Put each equation instandard form and find the hyperbola’s asymptotes. Then sketch thehyperbola. Include the asymptotes and foci in your sketch.27. x2 - y2 = 1 28. 9x2 - 16y2 = 14429. y2 - x2 = 8 30. y2 - x2 = 431. 8x2 - 2y2 = 16 32. y2 - 3x2 = 333. 8y2 - 2x2 = 16 34. 64x2 - 36y2 = 2304
Exercises 27–34 give equations for hyperbolas. Put each equation instandard form and find the hyperbola’s asymptotes. Then sketch thehyperbola. Include the asymptotes and foci in your sketch.27. x2 - y2 = 1 28. 9x2 - 16y2 = 14429. y2 - x2 = 8 30. y2 - x2 = 431. 8x2 - 2y2 = 16 32. y2 - 3x2 = 333. 8y2 - 2x2 = 16 34. 64x2 - 36y2 = 2304
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.3: Hyperbolas
Problem 31E
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Question
Exercises 27–34 give equations for hyperbolas. Put each equation in
standard form and find the hyperbola’s asymptotes. Then sketch the
hyperbola. Include the asymptotes and foci in your sketch.
27. x2 - y2 = 1
28. 9x2 - 16y2 = 144
29. y2 - x2 = 8
30. y2 - x2 = 4
31. 8x2 - 2y2 = 16
32. y2 - 3x2 = 3
33. 8y2 - 2x2 = 16
34. 64x2 - 36y2 = 2304
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