37–50 - Finding the Equation of a Hyperbola Find an equation for the hyperbola that satisfies the given conditions. -.37. Foci: (±5, 0), vertices: (+3, 0) 38. Foci: (0, ±10), vertices: (0, ±8) 39. Foci: (0, ±2), vertices: (0, ±1) 40. Foci: (+6, 0), vertices: (+2, 0) 41. Vertices: (±1,0), asymptotes: y = ±5x 42. Vertices: (0, +6), asymptotes: y = ±}x 43. Vertices: (0, ±6), hyperbola passes through (-5, 9) 44. Vertices: (+2, 0), hyperbola passes through (3, V30) 45. Asymptotes: y = ±x, hyperbola passes through (5, 3) 46. Asymptotes: y = ±x, hyperbola passes through (1, 2) 47. Foci: (0, ±3), hyperbola passes through (1, 4) 48. Foci: (+ V10, 0), hyperbola passes through (4, V18) 49. Foci: (+5, 0), length of transverse axis: 6 50. Foci: (0, ±1), length of transverse axis: 1

37–50 - Finding the Equation of a Hyperbola Find an equation for the hyperbola that satisfies the given conditions. -.37. Foci: (±5, 0), vertices: (+3, 0) 38. Foci: (0, ±10), vertices: (0, ±8) 39. Foci: (0, ±2), vertices: (0, ±1) 40. Foci: (+6, 0), vertices: (+2, 0) 41. Vertices: (±1,0), asymptotes: y = ±5x 42. Vertices: (0, +6), asymptotes: y = ±}x 43. Vertices: (0, ±6), hyperbola passes through (-5, 9) 44. Vertices: (+2, 0), hyperbola passes through (3, V30) 45. Asymptotes: y = ±x, hyperbola passes through (5, 3) 46. Asymptotes: y = ±x, hyperbola passes through (1, 2) 47. Foci: (0, ±3), hyperbola passes through (1, 4) 48. Foci: (+ V10, 0), hyperbola passes through (4, V18) 49. Foci: (+5, 0), length of transverse axis: 6 50. Foci: (0, ±1), length of transverse axis: 1

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Question

37–50 - Finding the Equation of a Hyperbola Find an equation
for the hyperbola that satisfies the given conditions.
-.37. Foci: (±5, 0), vertices: (+3, 0)
38. Foci: (0, ±10), vertices: (0, ±8)
39. Foci: (0, ±2), vertices: (0, ±1)
40. Foci: (+6, 0), vertices: (+2, 0)
41. Vertices: (±1,0), asymptotes: y = ±5x
42. Vertices: (0, +6), asymptotes: y =
±}x
43. Vertices: (0, ±6), hyperbola passes through (-5, 9)
44. Vertices: (+2, 0), hyperbola passes through (3, V30)
45. Asymptotes: y = ±x, hyperbola passes through (5, 3)
46. Asymptotes: y = ±x, hyperbola passes through (1, 2)
47. Foci: (0, ±3), hyperbola passes through (1, 4)
48. Foci: (+ V10, 0), hyperbola passes through (4, V18)
49. Foci: (+5, 0), length of transverse axis: 6
50. Foci: (0, ±1), length of transverse axis: 1

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