EBK INTERMEDIATE ALGEBRA FOR COLLEGE ST
8th Edition
ISBN: 9780136553250
Author: Blitzer
Publisher: VST
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Chapter 10.5, Problem 53ES
To determine
To Graph: Rough sketch in the rectangular
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In Exercises 5–12, find the standard form of the equation of each
hyperbola satisfying the given conditions.
5. Foci: (0, –3), (0, 3); vertices: (0, –1), (0, 1)
6. Foci: (0, –6), (0, 6); vertices: (0, -2), (0, 2)
7. Foci: (-4, 0), (4, 0); vertices: (-3, 0), (3,0)
8. Foci: (-7, 0), (7, 0); vertices: (-5, 0), (5,0)
9. Endpoints of transverse axis: (0, -6), (0, 6); asymptote:
y = 2x
10. Endpoints of transverse axis: (-4,0), (4, 0); asymptote:
y = 2r
11. Center: (4, -2); Focus: (7, -2); vertex: (6, -2)
12. Center: (-2, 1); Focus: (-2, 6); vertex: (-2, 4)
In Exercises 35–42, find the vertex, focus, and directrix of each
parabola with the given equation. Then graph the parabola.
35. (x – 2) = 8(y – 1)
37. (x + 1) = -8(y + 1)
39. (y + 3) = 12(x + 1)
41. (y + 1) = -&r
36. (x + 2) = 4(y + 1)
38. (x + 2) = -8(y + 2)
40. (y + 4)2 = 12(x + 2)
%3D
%3D
42. (y - 1) = -&r
Exercises 98–100 will help you prepare for the material covered
in the first section of the next chapter.
98. a. Does (-5, –6) satisfy 2x – y = -4?
b. Does (-5, -6) satisfy 3x – 5y = 15?
99. Graph y = -x – 1 and 4x – 3y = 24 in the same
rectangular coordinate system. At what point do the graphs
intersect?
100. Solve: 7x – 2(-2x + 4) = 3.
Chapter 10 Solutions
EBK INTERMEDIATE ALGEBRA FOR COLLEGE ST
Ch. 10.1 - Prob. 1CPCh. 10.1 - Prob. 2CPCh. 10.1 - Prob. 3CPCh. 10.1 - Prob. 4CPCh. 10.1 - Prob. 5CPCh. 10.1 - Prob. 6CPCh. 10.1 - Prob. 1CAVCCh. 10.1 - Prob. 2CAVCCh. 10.1 - Prob. 3CAVCCh. 10.1 - Prob. 4CAVC
Ch. 10.1 - Prob. 5CAVCCh. 10.1 - Prob. 6CAVCCh. 10.1 - Prob. 1ESCh. 10.1 - Prob. 2ESCh. 10.1 - Prob. 3ESCh. 10.1 - Prob. 4ESCh. 10.1 - Prob. 5ESCh. 10.1 - Prob. 6ESCh. 10.1 - Prob. 7ESCh. 10.1 - Prob. 8ESCh. 10.1 - Prob. 9ESCh. 10.1 - Prob. 10ESCh. 10.1 - Prob. 11ESCh. 10.1 - Prob. 12ESCh. 10.1 - Prob. 13ESCh. 10.1 - Prob. 14ESCh. 10.1 - Prob. 15ESCh. 10.1 - Prob. 16ESCh. 10.1 - Prob. 17ESCh. 10.1 - Prob. 18ESCh. 10.1 - Prob. 19ESCh. 10.1 - Prob. 20ESCh. 10.1 - Prob. 21ESCh. 10.1 - Prob. 22ESCh. 10.1 - Prob. 23ESCh. 10.1 - Prob. 24ESCh. 10.1 - Prob. 25ESCh. 10.1 - Prob. 26ESCh. 10.1 - Prob. 27ESCh. 10.1 - Prob. 28ESCh. 10.1 - Prob. 29ESCh. 10.1 - Prob. 30ESCh. 10.1 - Prob. 31ESCh. 10.1 - Prob. 32ESCh. 10.1 - Prob. 33ESCh. 10.1 - Prob. 34ESCh. 10.1 - Prob. 35ESCh. 10.1 - Prob. 36ESCh. 10.1 - Prob. 37ESCh. 10.1 - Prob. 38ESCh. 10.1 - Prob. 39ESCh. 10.1 - Prob. 40ESCh. 10.1 - Prob. 41ESCh. 10.1 - Prob. 42ESCh. 10.1 - Prob. 43ESCh. 10.1 - Prob. 44ESCh. 10.1 - Prob. 45ESCh. 10.1 - Prob. 46ESCh. 10.1 - Prob. 47ESCh. 10.1 - Prob. 48ESCh. 10.1 - Prob. 49ESCh. 10.1 - Prob. 50ESCh. 10.1 - Prob. 51ESCh. 10.1 - Prob. 52ESCh. 10.1 - Prob. 53ESCh. 10.1 - Prob. 54ESCh. 10.1 - Prob. 55ESCh. 10.1 - Prob. 56ESCh. 10.1 - Prob. 57ESCh. 10.1 - Prob. 58ESCh. 10.1 - Prob. 59ESCh. 10.1 - Prob. 60ESCh. 10.1 - Prob. 61ESCh. 10.1 - Prob. 62ESCh. 10.1 - Prob. 63ESCh. 10.1 - Prob. 64ESCh. 10.1 - Prob. 65ESCh. 10.1 - Prob. 66ESCh. 10.1 - Prob. 67ESCh. 10.1 - Prob. 68ESCh. 10.1 -
69. A rectangular coordinate system with...Ch. 10.1 - Prob. 70ESCh. 10.1 - Prob. 71ESCh. 10.1 - Prob. 72ESCh. 10.1 - Prob. 73ESCh. 10.1 - Prob. 74ESCh. 10.1 - Prob. 75ESCh. 10.1 - Prob. 76ESCh. 10.1 - Prob. 77ESCh. 10.1 - Prob. 78ESCh. 10.1 - Prob. 79ESCh. 10.1 - Prob. 80ESCh. 10.1 - Prob. 81ESCh. 10.1 - Make Sense? In Exercises 8184, determine whether...Ch. 10.1 - Prob. 83ESCh. 10.1 - Prob. 84ESCh. 10.1 - Prob. 85ESCh. 10.1 - Prob. 86ESCh. 10.1 - Prob. 87ESCh. 10.1 - Prob. 88ESCh. 10.1 - Prob. 89ESCh. 10.1 - Prob. 90ESCh. 10.1 - Prob. 91ESCh. 10.1 - Prob. 92ESCh. 10.1 - Prob. 93ESCh. 10.1 - Prob. 94ESCh. 10.1 - Prob. 95ESCh. 10.1 - Prob. 96ESCh. 10.1 - Prob. 97ESCh. 10.1 - Prob. 98ESCh. 10.1 - Prob. 99ESCh. 10.2 - Prob. 1CPCh. 10.2 - Prob. 2CPCh. 10.2 - Prob. 3CPCh. 10.2 - Prob. 4CPCh. 10.2 - Prob. 1CAVCCh. 10.2 - Prob. 2CAVCCh. 10.2 - Prob. 3CAVCCh. 10.2 - Prob. 4CAVCCh. 10.2 - Fill in each blank so that the resulting statement...Ch. 10.2 - Prob. 1ESCh. 10.2 - Prob. 2ESCh. 10.2 - Prob. 3ESCh. 10.2 - Prob. 4ESCh. 10.2 - Prob. 5ESCh. 10.2 - Prob. 6ESCh. 10.2 - Prob. 7ESCh. 10.2 - Prob. 8ESCh. 10.2 - Prob. 9ESCh. 10.2 - Prob. 10ESCh. 10.2 - Prob. 11ESCh. 10.2 - Prob. 12ESCh. 10.2 - Prob. 13ESCh. 10.2 - Prob. 14ESCh. 10.2 - Prob. 15ESCh. 10.2 - Prob. 16ESCh. 10.2 - Prob. 17ESCh. 10.2 - Prob. 18ESCh. 10.2 - Prob. 19ESCh. 10.2 - In Exercises 1720, find the standard form of the...Ch. 10.2 - Prob. 21ESCh. 10.2 - Prob. 22ESCh. 10.2 - Prob. 23ESCh. 10.2 - Prob. 24ESCh. 10.2 - Prob. 25ESCh. 10.2 - Prob. 26ESCh. 10.2 - Prob. 27ESCh. 10.2 - Prob. 28ESCh. 10.2 - Prob. 29ESCh. 10.2 - Prob. 30ESCh. 10.2 - Prob. 31ESCh. 10.2 - Prob. 32ESCh. 10.2 - Prob. 33ESCh. 10.2 - Prob. 34ESCh. 10.2 - Prob. 35ESCh. 10.2 - Prob. 36ESCh. 10.2 - Prob. 37ESCh. 10.2 - Prob. 38ESCh. 10.2 - Prob. 39ESCh. 10.2 - Prob. 40ESCh. 10.2 - Prob. 41ESCh. 10.2 - Prob. 42ESCh. 10.2 - Will a truck that is 8 feet wide carrying a load...Ch. 10.2 - Prob. 44ESCh. 10.2 - Prob. 45ESCh. 10.2 -
46. If an elliptical whispering room has a height...Ch. 10.2 - Prob. 47ESCh. 10.2 - Prob. 48ESCh. 10.2 - Prob. 49ESCh. 10.2 - Prob. 50ESCh. 10.2 - Prob. 51ESCh. 10.2 - Prob. 52ESCh. 10.2 - Prob. 53ESCh. 10.2 - Prob. 54ESCh. 10.2 - Prob. 55ESCh. 10.2 - Prob. 56ESCh. 10.2 - Prob. 57ESCh. 10.2 - Prob. 58ESCh. 10.2 - Prob. 59ESCh. 10.2 - Prob. 60ESCh. 10.2 - Prob. 61ESCh. 10.2 - Prob. 62ESCh. 10.2 - In Exercises 6364, convert each equation to...Ch. 10.2 - Prob. 64ESCh. 10.2 - Prob. 65ESCh. 10.2 - Prob. 66ESCh. 10.2 - Prob. 67ESCh. 10.2 - Simplify: 40x4y73. (Section 7.3, Example 5)Ch. 10.2 - Prob. 69ESCh. 10.2 - Prob. 70ESCh. 10.2 - Prob. 71ESCh. 10.2 - Prob. 72ESCh. 10.3 - Prob. 1CPCh. 10.3 - Prob. 2CPCh. 10.3 - Prob. 3CPCh. 10.3 - Prob. 1CAVCCh. 10.3 - Prob. 2CAVCCh. 10.3 - Prob. 3CAVCCh. 10.3 - Prob. 4CAVCCh. 10.3 - Prob. 5CAVCCh. 10.3 - Prob. 6CAVCCh. 10.3 - Prob. 7CAVCCh. 10.3 - Prob. 8CAVCCh. 10.3 - Prob. 9CAVCCh. 10.3 - Prob. 10CAVCCh. 10.3 - Prob. 1ESCh. 10.3 - Prob. 2ESCh. 10.3 - Prob. 3ESCh. 10.3 - Prob. 4ESCh. 10.3 - Prob. 5ESCh. 10.3 - Prob. 6ESCh. 10.3 - Prob. 7ESCh. 10.3 - Prob. 8ESCh. 10.3 - Prob. 9ESCh. 10.3 - Prob. 10ESCh. 10.3 - Prob. 11ESCh. 10.3 - Prob. 12ESCh. 10.3 - Prob. 13ESCh. 10.3 - Prob. 14ESCh. 10.3 - Prob. 15ESCh. 10.3 - Prob. 16ESCh. 10.3 - Prob. 17ESCh. 10.3 - Prob. 18ESCh. 10.3 - Prob. 19ESCh. 10.3 - Prob. 20ESCh. 10.3 - Prob. 21ESCh. 10.3 - Prob. 22ESCh. 10.3 - Prob. 23ESCh. 10.3 - Prob. 24ESCh. 10.3 - Prob. 25ESCh. 10.3 - Prob. 26ESCh. 10.3 - Prob. 27ESCh. 10.3 - Prob. 28ESCh. 10.3 - Prob. 29ESCh. 10.3 - Prob. 30ESCh. 10.3 - Prob. 31ESCh. 10.3 - Prob. 32ESCh. 10.3 - Prob. 33ESCh. 10.3 - Prob. 34ESCh. 10.3 - Prob. 35ESCh. 10.3 - Prob. 36ESCh. 10.3 - 37. Describe one similarity and one difference...Ch. 10.3 - Prob. 38ESCh. 10.3 - Prob. 39ESCh. 10.3 - Prob. 40ESCh. 10.3 - Prob. 41ESCh. 10.3 - Prob. 42ESCh. 10.3 - Prob. 43ESCh. 10.3 - Prob. 44ESCh. 10.3 - Prob. 45ESCh. 10.3 - Prob. 46ESCh. 10.3 - Prob. 47ESCh. 10.3 - In Exercise 4750, determine whether each statement...Ch. 10.3 - Prob. 49ESCh. 10.3 - Prob. 50ESCh. 10.3 - Prob. 51ESCh. 10.3 - Prob. 52ESCh. 10.3 - Prob. 53ESCh. 10.3 - Prob. 54ESCh. 10.3 - Prob. 55ESCh. 10.3 - In Exercises 5556, find the standard form of the...Ch. 10.3 - Prob. 57ESCh. 10.3 - Prob. 58ESCh. 10.3 - Prob. 59ESCh. 10.3 - Prob. 60ESCh. 10.3 - Prob. 61ESCh. 10.3 - Prob. 62ESCh. 10.3 - Prob. 1MCCPCh. 10.3 - Prob. 2MCCPCh. 10.3 - Prob. 3MCCPCh. 10.3 - Prob. 4MCCPCh. 10.3 - Prob. 5MCCPCh. 10.3 - Prob. 6MCCPCh. 10.3 - Prob. 7MCCPCh. 10.3 - Prob. 8MCCPCh. 10.3 - Prob. 9MCCPCh. 10.3 - Prob. 10MCCPCh. 10.3 - Prob. 11MCCPCh. 10.3 - Prob. 12MCCPCh. 10.3 - In Exercises 1316, graph each equation. x2+y2=4Ch. 10.3 - Prob. 14MCCPCh. 10.3 - Prob. 15MCCPCh. 10.3 - Prob. 16MCCPCh. 10.3 - Prob. 17MCCPCh. 10.3 - Prob. 18MCCPCh. 10.3 - Prob. 19MCCPCh. 10.3 - Prob. 20MCCPCh. 10.4 - Prob. 1CPCh. 10.4 - Prob. 2CPCh. 10.4 - Prob. 3CPCh. 10.4 - Prob. 1CAVCCh. 10.4 - Prob. 2CAVCCh. 10.4 - Prob. 3CAVCCh. 10.4 - Prob. 4CAVCCh. 10.4 - Prob. 5CAVCCh. 10.4 - Prob. 6CAVCCh. 10.4 - Prob. 7CAVCCh. 10.4 - Prob. 8CAVCCh. 10.4 - Prob. 9CAVCCh. 10.4 - Prob. 10CAVCCh. 10.4 - Prob. 11CAVCCh. 10.4 - Prob. 12CAVCCh. 10.4 - Prob. 13CAVCCh. 10.4 - Prob. 14CAVCCh. 10.4 - Prob. 15CAVCCh. 10.4 - Prob. 1ESCh. 10.4 - Prob. 2ESCh. 10.4 - Prob. 3ESCh. 10.4 - Prob. 4ESCh. 10.4 - Prob. 5ESCh. 10.4 - Prob. 6ESCh. 10.4 - Prob. 7ESCh. 10.4 - Prob. 8ESCh. 10.4 - Prob. 9ESCh. 10.4 - Prob. 10ESCh. 10.4 - Prob. 11ESCh. 10.4 - Prob. 12ESCh. 10.4 - Prob. 13ESCh. 10.4 - Prob. 14ESCh. 10.4 - Prob. 15ESCh. 10.4 - Prob. 16ESCh. 10.4 - Prob. 17ESCh. 10.4 - Prob. 18ESCh. 10.4 - Prob. 19ESCh. 10.4 - Prob. 20ESCh. 10.4 - Prob. 21ESCh. 10.4 - Prob. 22ESCh. 10.4 - Prob. 23ESCh. 10.4 - Prob. 24ESCh. 10.4 - Prob. 25ESCh. 10.4 - Prob. 26ESCh. 10.4 - Prob. 27ESCh. 10.4 - Prob. 28ESCh. 10.4 - Prob. 29ESCh. 10.4 - Prob. 30ESCh. 10.4 - Prob. 31ESCh. 10.4 - Prob. 32ESCh. 10.4 - Prob. 33ESCh. 10.4 - Prob. 34ESCh. 10.4 - Prob. 35ESCh. 10.4 - Prob. 36ESCh. 10.4 - Prob. 37ESCh. 10.4 - Prob. 38ESCh. 10.4 - Prob. 39ESCh. 10.4 - Prob. 40ESCh. 10.4 - Prob. 41ESCh. 10.4 - Prob. 42ESCh. 10.4 - Prob. 43ESCh. 10.4 - Prob. 44ESCh. 10.4 - Prob. 45ESCh. 10.4 - Prob. 46ESCh. 10.4 - Prob. 47ESCh. 10.4 - Prob. 48ESCh. 10.4 - Prob. 49ESCh. 10.4 - Prob. 50ESCh. 10.4 - Prob. 51ESCh. 10.4 - Prob. 52ESCh. 10.4 - Prob. 53ESCh. 10.4 - Prob. 54ESCh. 10.4 - Prob. 55ESCh. 10.4 - Prob. 56ESCh. 10.4 - Prob. 57ESCh. 10.4 - Prob. 58ESCh. 10.4 - Prob. 59ESCh. 10.4 - Prob. 60ESCh. 10.4 - Prob. 61ESCh. 10.4 - Prob. 62ESCh. 10.4 - Prob. 63ESCh. 10.4 - Prob. 64ESCh. 10.4 - Prob. 65ESCh. 10.4 - Prob. 66ESCh. 10.4 - Prob. 67ESCh. 10.4 - Prob. 68ESCh. 10.4 - Prob. 69ESCh. 10.4 - Prob. 70ESCh. 10.4 - Prob. 71ESCh. 10.4 - Prob. 72ESCh. 10.4 - Prob. 73ESCh. 10.4 - Prob. 74ESCh. 10.4 - Prob. 75ESCh. 10.4 - Prob. 76ESCh. 10.4 - Prob. 77ESCh. 10.4 - Prob. 78ESCh. 10.4 - Prob. 79ESCh. 10.4 - Prob. 80ESCh. 10.4 - Prob. 81ESCh. 10.4 - Prob. 82ESCh. 10.4 - Prob. 83ESCh. 10.4 - Prob. 84ESCh. 10.4 - Prob. 85ESCh. 10.4 - Prob. 86ESCh. 10.4 - Prob. 87ESCh. 10.4 - Prob. 88ESCh. 10.4 - Prob. 89ESCh. 10.4 - Prob. 90ESCh. 10.4 - Prob. 91ESCh. 10.4 - Prob. 92ESCh. 10.4 - Prob. 93ESCh. 10.4 - Prob. 94ESCh. 10.4 - Prob. 95ESCh. 10.4 - Prob. 96ESCh. 10.4 - Describe one similarity and one difference between...Ch. 10.4 - Prob. 98ESCh. 10.4 - Prob. 99ESCh. 10.4 - Prob. 100ESCh. 10.4 - Prob. 101ESCh. 10.4 - Prob. 102ESCh. 10.4 - Prob. 103ESCh. 10.4 - Prob. 104ESCh. 10.4 - Prob. 105ESCh. 10.4 - Prob. 106ESCh. 10.4 - Prob. 107ESCh. 10.4 - Prob. 108ESCh. 10.4 -
In Exercises 108–111, determine whether each...Ch. 10.4 - Prob. 110ESCh. 10.4 -
In Exercises 108–111, determine whether each...Ch. 10.4 - Prob. 112ESCh. 10.4 - Prob. 113ESCh. 10.4 - Prob. 114ESCh. 10.4 - Prob. 115ESCh. 10.4 - Prob. 116ESCh. 10.4 - Prob. 117ESCh. 10.4 - Prob. 118ESCh. 10.4 - Prob. 119ESCh. 10.5 - Prob. 1CPCh. 10.5 - Prob. 2CPCh. 10.5 - Prob. 3CPCh. 10.5 - Prob. 4CPCh. 10.5 - Prob. 5CPCh. 10.5 - Prob. 1CAVCCh. 10.5 - Prob. 2CAVCCh. 10.5 - Prob. 3CAVCCh. 10.5 - Prob. 4CAVCCh. 10.5 - Prob. 5CAVCCh. 10.5 - Prob. 6CAVCCh. 10.5 - Prob. 1ESCh. 10.5 - Prob. 2ESCh. 10.5 - Prob. 3ESCh. 10.5 - Prob. 4ESCh. 10.5 - Prob. 5ESCh. 10.5 - Prob. 6ESCh. 10.5 - Prob. 7ESCh. 10.5 - Prob. 8ESCh. 10.5 - Prob. 9ESCh. 10.5 - Prob. 10ESCh. 10.5 - Prob. 11ESCh. 10.5 - Prob. 12ESCh. 10.5 - Prob. 13ESCh. 10.5 - Prob. 14ESCh. 10.5 - Prob. 15ESCh. 10.5 - Prob. 16ESCh. 10.5 - Prob. 17ESCh. 10.5 - Prob. 18ESCh. 10.5 - Prob. 19ESCh. 10.5 - Prob. 20ESCh. 10.5 - Prob. 21ESCh. 10.5 - Prob. 22ESCh. 10.5 - Prob. 23ESCh. 10.5 - Prob. 24ESCh. 10.5 - Prob. 25ESCh. 10.5 - Prob. 26ESCh. 10.5 - Prob. 27ESCh. 10.5 - Prob. 28ESCh. 10.5 - Prob. 29ESCh. 10.5 - Prob. 30ESCh. 10.5 - Prob. 31ESCh. 10.5 - Prob. 32ESCh. 10.5 - Prob. 33ESCh. 10.5 - Prob. 34ESCh. 10.5 - Prob. 35ESCh. 10.5 - Prob. 36ESCh. 10.5 - Prob. 37ESCh. 10.5 - Prob. 38ESCh. 10.5 - Prob. 39ESCh. 10.5 - Prob. 40ESCh. 10.5 - Prob. 41ESCh. 10.5 - Prob. 42ESCh. 10.5 - Prob. 43ESCh. 10.5 - Prob. 44ESCh. 10.5 - Prob. 45ESCh. 10.5 - Prob. 46ESCh. 10.5 - Prob. 47ESCh. 10.5 - Prob. 48ESCh. 10.5 - Prob. 49ESCh. 10.5 - Prob. 50ESCh. 10.5 - Prob. 51ESCh. 10.5 - Prob. 52ESCh. 10.5 - Prob. 53ESCh. 10.5 - In Exercises 5354, make a rough sketch in a...Ch. 10.5 - Prob. 55ESCh. 10.5 - Prob. 56ESCh. 10.5 - Prob. 57ESCh. 10.5 - Prob. 58ESCh. 10.5 - Prob. 59ESCh. 10.5 - Prob. 60ESCh. 10.5 - Prob. 61ESCh. 10.5 - Prob. 62ESCh. 10.5 - Prob. 63ESCh. 10.5 - Prob. 64ESCh. 10.5 - Prob. 65ESCh. 10.5 - Prob. 66ESCh. 10.5 - Prob. 67ESCh. 10.5 - Prob. 68ESCh. 10.5 - Prob. 69ESCh. 10.5 - Prob. 70ESCh. 10.5 - Make Sense? In Exercises 7073, determine whether...Ch. 10.5 -
Make Sense? In Exercises 70–73, determine whether...Ch. 10.5 - Prob. 73ESCh. 10.5 - Prob. 74ESCh. 10.5 - Prob. 75ESCh. 10.5 - Prob. 76ESCh. 10.5 -
In Exercises 74–77, determine whether each...Ch. 10.5 - Prob. 78ESCh. 10.5 - Prob. 79ESCh. 10.5 - Prob. 80ESCh. 10.5 - Prob. 81ESCh. 10.5 - Prob. 82ESCh. 10.5 - Prob. 83ESCh. 10.5 - Prob. 84ESCh. 10.5 - Prob. 85ESCh. 10.5 - Prob. 86ESCh. 10 - Prob. 1RECh. 10 - Prob. 2RECh. 10 - Prob. 3RECh. 10 - Prob. 4RECh. 10 - Prob. 5RECh. 10 - Prob. 6RECh. 10 - Prob. 7RECh. 10 - Prob. 8RECh. 10 - Prob. 9RECh. 10 - Prob. 10RECh. 10 - Prob. 11RECh. 10 - Prob. 12RECh. 10 - Prob. 13RECh. 10 - Prob. 14RECh. 10 - Prob. 15RECh. 10 - Prob. 16RECh. 10 - Prob. 17RECh. 10 - Prob. 18RECh. 10 - Prob. 19RECh. 10 - Prob. 20RECh. 10 - Prob. 21RECh. 10 - Prob. 22RECh. 10 - Prob. 23RECh. 10 - Prob. 24RECh. 10 - Prob. 25RECh. 10 - Prob. 26RECh. 10 - Prob. 27RECh. 10 - Prob. 28RECh. 10 - Prob. 29RECh. 10 - Prob. 30RECh. 10 - Prob. 31RECh. 10 - Prob. 32RECh. 10 - Prob. 33RECh. 10 - Prob. 34RECh. 10 - Prob. 35RECh. 10 - Prob. 36RECh. 10 - Prob. 37RECh. 10 - Prob. 38RECh. 10 - Prob. 39RECh. 10 - Prob. 40RECh. 10 - Prob. 41RECh. 10 - An engineer is designing headlight units for...Ch. 10 - Prob. 43RECh. 10 - Prob. 44RECh. 10 - Prob. 45RECh. 10 - Prob. 46RECh. 10 - Prob. 47RECh. 10 - Prob. 48RECh. 10 - Prob. 49RECh. 10 - Prob. 50RECh. 10 - Prob. 51RECh. 10 - Prob. 52RECh. 10 - Prob. 53RECh. 10 - Prob. 54RECh. 10 - Prob. 55RECh. 10 - Prob. 56RECh. 10 - Prob. 1TCh. 10 - Prob. 2TCh. 10 - Prob. 3TCh. 10 - Prob. 4TCh. 10 - Prob. 5TCh. 10 - Prob. 6TCh. 10 - Prob. 7TCh. 10 - Prob. 8TCh. 10 - Prob. 9TCh. 10 - Prob. 10TCh. 10 - Prob. 11TCh. 10 - Prob. 12TCh. 10 - Prob. 13TCh. 10 - Prob. 14TCh. 10 - Prob. 15TCh. 10 - Prob. 16TCh. 10 - Prob. 17TCh. 10 - Prob. 18TCh. 10 - Prob. 19TCh. 10 - Prob. 20TCh. 10 - Prob. 1CRECh. 10 - Prob. 2CRECh. 10 - Prob. 3CRECh. 10 - Prob. 4CRECh. 10 - Prob. 5CRECh. 10 - Prob. 6CRECh. 10 - Prob. 7CRECh. 10 - Prob. 8CRECh. 10 - Prob. 9CRECh. 10 - Prob. 10CRECh. 10 - Prob. 11CRECh. 10 - Prob. 12CRECh. 10 - Prob. 13CRECh. 10 - Prob. 14CRECh. 10 - Prob. 15CRECh. 10 - Prob. 16CRECh. 10 - Prob. 17CRECh. 10 - Prob. 18CRECh. 10 - Prob. 19CRECh. 10 - Prob. 20CRECh. 10 - Prob. 21CRECh. 10 - Prob. 22CRECh. 10 - Prob. 23CRECh. 10 - Prob. 24CRECh. 10 - Prob. 25CRE
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- In Exercises 51-60, convert each equation to standard form by completing the square on x and y. Then graph the ellipse and give the location of its foci. 51. 9x? + 25y? – 36x + 50y – 164 = 0 52. 4x + 9y? - 32x + 36y + 64 = 0 53. 9x? + 16y? - 18x + 64y - 71 = 0 54. x + 4y? + 10x 8y + 13 = 0 55. 4x2 + y? + 16x – 6y – 39 = 0 56. 4x + 25y? – 24x + 100y + 36 = 0 57. 25x + 4y - 150x + 32y + 189 = 0 %3D 58. 49x? + 16y² + 98x – 64y - 671 = 0 59. 36x? + 9y2 - 216x = 0 %3! 60. 16x? + 25y² – 300y + 500 = 0 %3Darrow_forwardwhich conic was Euclid's favorite and why?arrow_forward3) Put x2 + 6x - y = 8 in standard (vertex) form %3Darrow_forward
- 1. Rewrite each equation in vertex form. y = x2 + 4x + 1 y = -x2 - 2x + 3 y = 2x2 - 6x -1arrow_forwardPart 4 A pipeline is to be fitted under a road and can be represented on 3D Cartesian axes as below, with the x-axis pointing East, the y-axis North, and the z-axis vertical. The pipeline is to consist of a straight section AB directly under the road, and another straight section BC connected to the first. All lengths are in metres. Y (N) C(a, b, 0) A (0, -40, 0) X (E) B (40, 0, -20) (a) Calculate the distance AB. The section BC is to be drilled in the direction of the vector 3ị + 4j + k. (b) Find the angle between the sections AB and BC. The section of pipe reaches ground level at the point C(a,b,0) (c) Write down a vector equation of the line BC. Hence find a and b.arrow_forward
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