EBK INTERMEDIATE ALGEBRA FOR COLLEGE ST
7th Edition
ISBN: 8220102020153
Author: Blitzer
Publisher: PEARSON
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Chapter 10.2, Problem 22E
To determine
To graph: The ellipse
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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
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)
#17
Chapter 10 Solutions
EBK INTERMEDIATE ALGEBRA FOR COLLEGE ST
Ch. 10.1 - Prob. 1CVCCh. 10.1 - Prob. 2CVCCh. 10.1 - Prob. 3CVCCh. 10.1 - Prob. 4CVCCh. 10.1 - Prob. 5CVCCh. 10.1 - Prob. 6CVCCh. 10.1 - Prob. 1ECh. 10.1 - Prob. 2ECh. 10.1 - Prob. 3ECh. 10.1 - Prob. 4E
Ch. 10.1 - Prob. 5ECh. 10.1 - Prob. 6ECh. 10.1 - Prob. 7ECh. 10.1 - Prob. 8ECh. 10.1 - Prob. 9ECh. 10.1 - Prob. 10ECh. 10.1 - Prob. 11ECh. 10.1 - Prob. 12ECh. 10.1 - Prob. 13ECh. 10.1 - Prob. 14ECh. 10.1 - Prob. 15ECh. 10.1 - Prob. 16ECh. 10.1 - Prob. 17ECh. 10.1 - Prob. 18ECh. 10.1 - Prob. 19ECh. 10.1 - Prob. 20ECh. 10.1 - Prob. 21ECh. 10.1 - Prob. 22ECh. 10.1 - Prob. 23ECh. 10.1 - Prob. 24ECh. 10.1 - Prob. 25ECh. 10.1 - Prob. 26ECh. 10.1 - Prob. 27ECh. 10.1 - Prob. 28ECh. 10.1 - Prob. 29ECh. 10.1 - Prob. 30ECh. 10.1 - Prob. 31ECh. 10.1 - Prob. 32ECh. 10.1 - Prob. 33ECh. 10.1 - Prob. 34ECh. 10.1 - Prob. 35ECh. 10.1 - Prob. 36ECh. 10.1 - Prob. 37ECh. 10.1 - Prob. 38ECh. 10.1 - Prob. 39ECh. 10.1 - Prob. 40ECh. 10.1 - Prob. 41ECh. 10.1 - Prob. 42ECh. 10.1 - Prob. 43ECh. 10.1 - Prob. 44ECh. 10.1 - Prob. 45ECh. 10.1 - Prob. 46ECh. 10.1 - Prob. 47ECh. 10.1 - Prob. 48ECh. 10.1 - Prob. 49ECh. 10.1 - Prob. 50ECh. 10.1 - Prob. 51ECh. 10.1 - Prob. 52ECh. 10.1 - Prob. 53ECh. 10.1 - Prob. 54ECh. 10.1 - Prob. 55ECh. 10.1 - Prob. 56ECh. 10.1 - Prob. 57ECh. 10.1 - Prob. 58ECh. 10.1 - Prob. 59ECh. 10.1 - Prob. 60ECh. 10.1 - Prob. 61ECh. 10.1 - Prob. 62ECh. 10.1 - Prob. 63ECh. 10.1 - Prob. 64ECh. 10.1 - Prob. 65ECh. 10.1 - Prob. 66ECh. 10.1 - Prob. 67ECh. 10.1 - Prob. 68ECh. 10.1 -
69. A rectangular coordinate system with...Ch. 10.1 - Prob. 70ECh. 10.1 - Prob. 71ECh. 10.1 - Prob. 72ECh. 10.1 - Prob. 73ECh. 10.1 - Prob. 74ECh. 10.1 - Prob. 75ECh. 10.1 - Prob. 76ECh. 10.1 - Prob. 77ECh. 10.1 - Prob. 78ECh. 10.1 - Prob. 79ECh. 10.1 - Prob. 80ECh. 10.1 - Prob. 81ECh. 10.1 - Make Sense? In Exercises 8184, determine whether...Ch. 10.1 - Prob. 83ECh. 10.1 - Prob. 84ECh. 10.1 - Prob. 85ECh. 10.1 - Prob. 86ECh. 10.1 - Prob. 87ECh. 10.1 - Prob. 88ECh. 10.1 - Prob. 89ECh. 10.1 - Prob. 90ECh. 10.1 - Prob. 91ECh. 10.1 - Prob. 92ECh. 10.1 - Prob. 93ECh. 10.1 - Prob. 94ECh. 10.1 - Prob. 95ECh. 10.1 - Prob. 96ECh. 10.1 - Prob. 97ECh. 10.1 - Prob. 98ECh. 10.1 - Prob. 99ECh. 10.2 - Prob. 1CPCh. 10.2 - Prob. 2CPCh. 10.2 - Prob. 3CPCh. 10.2 - Prob. 4CPCh. 10.2 - Prob. 1CVCCh. 10.2 - Prob. 2CVCCh. 10.2 - Prob. 3CVCCh. 10.2 - Prob. 4CVCCh. 10.2 - Fill in each blank so that the resulting statement...Ch. 10.2 - Prob. 1ECh. 10.2 - Prob. 2ECh. 10.2 - Prob. 3ECh. 10.2 - Prob. 4ECh. 10.2 - Prob. 5ECh. 10.2 - Prob. 6ECh. 10.2 - Prob. 7ECh. 10.2 - Prob. 8ECh. 10.2 - Prob. 9ECh. 10.2 - Prob. 10ECh. 10.2 - Prob. 11ECh. 10.2 - Prob. 12ECh. 10.2 - Prob. 13ECh. 10.2 - Prob. 14ECh. 10.2 - Prob. 15ECh. 10.2 - Prob. 16ECh. 10.2 - Prob. 17ECh. 10.2 - Prob. 18ECh. 10.2 - Prob. 19ECh. 10.2 - In Exercises 1720, find the standard form of the...Ch. 10.2 - Prob. 21ECh. 10.2 - Prob. 22ECh. 10.2 - Prob. 23ECh. 10.2 - Prob. 24ECh. 10.2 - Prob. 25ECh. 10.2 - Prob. 26ECh. 10.2 - Prob. 27ECh. 10.2 - Prob. 28ECh. 10.2 - Prob. 29ECh. 10.2 - Prob. 30ECh. 10.2 - Prob. 31ECh. 10.2 - Prob. 32ECh. 10.2 - Prob. 33ECh. 10.2 - Prob. 34ECh. 10.2 - Prob. 35ECh. 10.2 - Prob. 36ECh. 10.2 - Prob. 37ECh. 10.2 - Prob. 38ECh. 10.2 - Prob. 39ECh. 10.2 - Prob. 40ECh. 10.2 - Prob. 41ECh. 10.2 - Prob. 42ECh. 10.2 - Will a truck that is 8 feet wide carrying a load...Ch. 10.2 - Prob. 44ECh. 10.2 - Prob. 45ECh. 10.2 -
46. If an elliptical whispering room has a height...Ch. 10.2 - Prob. 47ECh. 10.2 - Prob. 48ECh. 10.2 - Prob. 49ECh. 10.2 - Prob. 50ECh. 10.2 - Prob. 51ECh. 10.2 - Prob. 52ECh. 10.2 - Prob. 53ECh. 10.2 - Prob. 54ECh. 10.2 - Prob. 55ECh. 10.2 - Prob. 56ECh. 10.2 - Prob. 57ECh. 10.2 - Prob. 58ECh. 10.2 - Prob. 59ECh. 10.2 - Prob. 60ECh. 10.2 - Prob. 61ECh. 10.2 - Prob. 62ECh. 10.2 - In Exercises 6364, convert each equation to...Ch. 10.2 - Prob. 64ECh. 10.2 - Prob. 65ECh. 10.2 - Prob. 66ECh. 10.2 - Prob. 67ECh. 10.2 - Simplify: 40x4y73. (Section 7.3, Example 5)Ch. 10.2 - Prob. 69ECh. 10.2 - Prob. 70ECh. 10.2 - Prob. 71ECh. 10.2 - Prob. 72ECh. 10.3 - Prob. 1CPCh. 10.3 - Prob. 2CPCh. 10.3 - Prob. 3CPCh. 10.3 - Prob. 1CVCCh. 10.3 - Prob. 2CVCCh. 10.3 - Prob. 3CVCCh. 10.3 - Prob. 4CVCCh. 10.3 - Prob. 5CVCCh. 10.3 - Prob. 6CVCCh. 10.3 - Prob. 7CVCCh. 10.3 - Prob. 8CVCCh. 10.3 - Prob. 9CVCCh. 10.3 - Prob. 10CVCCh. 10.3 - Prob. 1ECh. 10.3 - Prob. 2ECh. 10.3 - Prob. 3ECh. 10.3 - Prob. 4ECh. 10.3 - Prob. 5ECh. 10.3 - Prob. 6ECh. 10.3 - Prob. 7ECh. 10.3 - Prob. 8ECh. 10.3 - Prob. 9ECh. 10.3 - Prob. 10ECh. 10.3 - Prob. 11ECh. 10.3 - Prob. 12ECh. 10.3 - Prob. 13ECh. 10.3 - Prob. 14ECh. 10.3 - Prob. 15ECh. 10.3 - Prob. 16ECh. 10.3 - Prob. 17ECh. 10.3 - Prob. 18ECh. 10.3 - Prob. 19ECh. 10.3 - Prob. 20ECh. 10.3 - Prob. 21ECh. 10.3 - Prob. 22ECh. 10.3 - Prob. 23ECh. 10.3 - Prob. 24ECh. 10.3 - Prob. 25ECh. 10.3 - Prob. 26ECh. 10.3 - Prob. 27ECh. 10.3 - Prob. 28ECh. 10.3 - Prob. 29ECh. 10.3 - Prob. 30ECh. 10.3 - Prob. 31ECh. 10.3 - Prob. 32ECh. 10.3 - Prob. 33ECh. 10.3 - Prob. 34ECh. 10.3 - Prob. 35ECh. 10.3 - Prob. 36ECh. 10.3 - 37. Describe one similarity and one difference...Ch. 10.3 - Prob. 38ECh. 10.3 - Prob. 39ECh. 10.3 - Prob. 40ECh. 10.3 - Prob. 41ECh. 10.3 - Prob. 42ECh. 10.3 - Prob. 43ECh. 10.3 - Prob. 44ECh. 10.3 - Prob. 45ECh. 10.3 - Prob. 46ECh. 10.3 - Prob. 47ECh. 10.3 - In Exercise 4750, determine whether each statement...Ch. 10.3 - Prob. 49ECh. 10.3 - Prob. 50ECh. 10.3 - Prob. 51ECh. 10.3 - Prob. 52ECh. 10.3 - Prob. 53ECh. 10.3 - Prob. 54ECh. 10.3 - Prob. 55ECh. 10.3 - In Exercises 5556, find the standard form of the...Ch. 10.3 - Prob. 57ECh. 10.3 - Prob. 58ECh. 10.3 - Prob. 59ECh. 10.3 - Prob. 60ECh. 10.3 - Prob. 61ECh. 10.3 - Prob. 62ECh. 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. 1CVCCh. 10.4 - Prob. 2CVCCh. 10.4 - Prob. 3CVCCh. 10.4 - Prob. 4CVCCh. 10.4 - Prob. 5CVCCh. 10.4 - Prob. 6CVCCh. 10.4 - Prob. 7CVCCh. 10.4 - Prob. 8CVCCh. 10.4 - Prob. 9CVCCh. 10.4 - Prob. 10CVCCh. 10.4 - Prob. 11CVCCh. 10.4 - Prob. 12CVCCh. 10.4 - Prob. 13CVCCh. 10.4 - Prob. 14CVCCh. 10.4 -
15. The circle, ellipse, hyperbola, and parabola...Ch. 10.4 - Prob. 1ECh. 10.4 - Prob. 2ECh. 10.4 - Prob. 3ECh. 10.4 - Prob. 4ECh. 10.4 - Prob. 5ECh. 10.4 - Prob. 6ECh. 10.4 - Prob. 7ECh. 10.4 - Prob. 8ECh. 10.4 - Prob. 9ECh. 10.4 - Prob. 10ECh. 10.4 - Prob. 11ECh. 10.4 - Prob. 12ECh. 10.4 - Prob. 13ECh. 10.4 - Prob. 14ECh. 10.4 - Prob. 15ECh. 10.4 - Prob. 16ECh. 10.4 - Prob. 17ECh. 10.4 - Prob. 18ECh. 10.4 - Prob. 19ECh. 10.4 - Prob. 20ECh. 10.4 - Prob. 21ECh. 10.4 - Prob. 22ECh. 10.4 - Prob. 23ECh. 10.4 - Prob. 24ECh. 10.4 - Prob. 25ECh. 10.4 - Prob. 26ECh. 10.4 - Prob. 27ECh. 10.4 - Prob. 28ECh. 10.4 - Prob. 29ECh. 10.4 - Prob. 30ECh. 10.4 - Prob. 31ECh. 10.4 - Prob. 32ECh. 10.4 - Prob. 33ECh. 10.4 - Prob. 34ECh. 10.4 - Prob. 35ECh. 10.4 - Prob. 36ECh. 10.4 - Prob. 37ECh. 10.4 - Prob. 38ECh. 10.4 - Prob. 39ECh. 10.4 - Prob. 40ECh. 10.4 - Prob. 41ECh. 10.4 - Prob. 42ECh. 10.4 - Prob. 43ECh. 10.4 - Prob. 44ECh. 10.4 - Prob. 45ECh. 10.4 - Prob. 46ECh. 10.4 - Prob. 47ECh. 10.4 - Prob. 48ECh. 10.4 - Prob. 49ECh. 10.4 - Prob. 50ECh. 10.4 - Prob. 51ECh. 10.4 - Prob. 52ECh. 10.4 - Prob. 53ECh. 10.4 - Prob. 54ECh. 10.4 - Prob. 55ECh. 10.4 - Prob. 56ECh. 10.4 - Prob. 57ECh. 10.4 - Prob. 58ECh. 10.4 - Prob. 59ECh. 10.4 - Prob. 60ECh. 10.4 - Prob. 61ECh. 10.4 - Prob. 62ECh. 10.4 - Prob. 63ECh. 10.4 - Prob. 64ECh. 10.4 - Prob. 65ECh. 10.4 - Prob. 66ECh. 10.4 - Prob. 67ECh. 10.4 - Prob. 68ECh. 10.4 - Prob. 69ECh. 10.4 - Prob. 70ECh. 10.4 - Prob. 71ECh. 10.4 - Prob. 72ECh. 10.4 - Prob. 73ECh. 10.4 - Prob. 74ECh. 10.4 - Prob. 75ECh. 10.4 - Prob. 76ECh. 10.4 - Prob. 77ECh. 10.4 - Prob. 78ECh. 10.4 - Prob. 79ECh. 10.4 - Prob. 80ECh. 10.4 - Prob. 81ECh. 10.4 - Prob. 82ECh. 10.4 - Prob. 83ECh. 10.4 - Prob. 84ECh. 10.4 - Prob. 85ECh. 10.4 - Prob. 86ECh. 10.4 - Prob. 87ECh. 10.4 - Prob. 88ECh. 10.4 - Prob. 89ECh. 10.4 - Prob. 90ECh. 10.4 - Prob. 91ECh. 10.4 - Prob. 92ECh. 10.4 - Prob. 93ECh. 10.4 - Prob. 94ECh. 10.4 - Prob. 95ECh. 10.4 - Prob. 96ECh. 10.4 - Describe one similarity and one difference between...Ch. 10.4 - Prob. 98ECh. 10.4 - Prob. 99ECh. 10.4 - Prob. 100ECh. 10.4 - Prob. 101ECh. 10.4 - Prob. 102ECh. 10.4 - Prob. 103ECh. 10.4 - Prob. 104ECh. 10.4 - Prob. 105ECh. 10.4 - Prob. 106ECh. 10.4 - Prob. 107ECh. 10.4 - Prob. 108ECh. 10.4 -
In Exercises 108–111, determine whether each...Ch. 10.4 - Prob. 110ECh. 10.4 -
In Exercises 108–111, determine whether each...Ch. 10.4 - Prob. 112ECh. 10.4 - Prob. 113ECh. 10.4 - Prob. 114ECh. 10.4 - Prob. 115ECh. 10.4 - Prob. 116ECh. 10.4 - Prob. 117ECh. 10.4 - Prob. 118ECh. 10.4 - Prob. 119ECh. 10.5 - Prob. 1CPCh. 10.5 - Prob. 2CPCh. 10.5 - Prob. 3CPCh. 10.5 - Prob. 4CPCh. 10.5 - Prob. 5CPCh. 10.5 - Prob. 1CVCCh. 10.5 - Prob. 2CVCCh. 10.5 - Prob. 3CVCCh. 10.5 - Prob. 4CVCCh. 10.5 - Prob. 5CVCCh. 10.5 - Prob. 6CVCCh. 10.5 - Prob. 1ECh. 10.5 - Prob. 2ECh. 10.5 - Prob. 3ECh. 10.5 - Prob. 4ECh. 10.5 - Prob. 5ECh. 10.5 - Prob. 6ECh. 10.5 - Prob. 7ECh. 10.5 - Prob. 8ECh. 10.5 - Prob. 9ECh. 10.5 - Prob. 10ECh. 10.5 - Prob. 11ECh. 10.5 - Prob. 12ECh. 10.5 - Prob. 13ECh. 10.5 - Prob. 14ECh. 10.5 - Prob. 15ECh. 10.5 - Prob. 16ECh. 10.5 - Prob. 17ECh. 10.5 - Prob. 18ECh. 10.5 - Prob. 19ECh. 10.5 - Prob. 20ECh. 10.5 - Prob. 21ECh. 10.5 - Prob. 22ECh. 10.5 - Prob. 23ECh. 10.5 - Prob. 24ECh. 10.5 - Prob. 25ECh. 10.5 - Prob. 26ECh. 10.5 - Prob. 27ECh. 10.5 - Prob. 28ECh. 10.5 - Prob. 29ECh. 10.5 - Prob. 30ECh. 10.5 - Prob. 31ECh. 10.5 - Prob. 32ECh. 10.5 - Prob. 33ECh. 10.5 - Prob. 34ECh. 10.5 - Prob. 35ECh. 10.5 - Prob. 36ECh. 10.5 - Prob. 37ECh. 10.5 - Prob. 38ECh. 10.5 - Prob. 39ECh. 10.5 - Prob. 40ECh. 10.5 - Prob. 41ECh. 10.5 - Prob. 42ECh. 10.5 - Prob. 43ECh. 10.5 - Prob. 44ECh. 10.5 - Prob. 45ECh. 10.5 - Prob. 46ECh. 10.5 - Prob. 47ECh. 10.5 - Prob. 48ECh. 10.5 - Prob. 49ECh. 10.5 - Prob. 50ECh. 10.5 - Prob. 51ECh. 10.5 - Prob. 52ECh. 10.5 - Prob. 53ECh. 10.5 - In Exercises 5354, make a rough sketch in a...Ch. 10.5 - Prob. 55ECh. 10.5 - Prob. 56ECh. 10.5 - Prob. 57ECh. 10.5 - Prob. 58ECh. 10.5 - Prob. 59ECh. 10.5 - Prob. 60ECh. 10.5 - Prob. 61ECh. 10.5 - Prob. 62ECh. 10.5 - Prob. 63ECh. 10.5 - Prob. 64ECh. 10.5 - Prob. 65ECh. 10.5 - Prob. 66ECh. 10.5 - Prob. 67ECh. 10.5 - Prob. 68ECh. 10.5 - Prob. 69ECh. 10.5 - Prob. 70ECh. 10.5 - Make Sense? In Exercises 7073, determine whether...Ch. 10.5 -
Make Sense? In Exercises 70–73, determine whether...Ch. 10.5 - Prob. 73ECh. 10.5 - Prob. 74ECh. 10.5 - Prob. 75ECh. 10.5 - Prob. 76ECh. 10.5 -
In Exercises 74–77, determine whether each...Ch. 10.5 - Prob. 78ECh. 10.5 - Prob. 79ECh. 10.5 - Prob. 80ECh. 10.5 - Prob. 81ECh. 10.5 - Prob. 82ECh. 10.5 - Prob. 83ECh. 10.5 - Prob. 84ECh. 10.5 - Prob. 85ECh. 10.5 - Prob. 86ECh. 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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- For Exercises 43–48, the equation represents a conic section (nondegenerative case). a. Identify the type of conic section. (See Example 6) b. Graph the equation on a graphing utility. 43. 4x – 4xy + 5y – 20 = 0 44. 6x + 4V3xy + 2y - 18x + 18V3y – 72 = 0 45. 2x – 6xy + 3y² - 4x + 12y – 9 = 0 46. 5x – 3xy + 2y – 6 = 0 47. 4x + 8xy + 4y – 2x – 5y – 2 = 0 48. 4x? + 8V3xy + 3y + 2x – 12y – 6 = 0arrow_forwardIn 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_forwardFor Exercises 67–70, identify the equation as representing an ellipse or a hyperbola, and match the equation with the graph. (x – 5)² 67. (y + 2)² = 1 (x – 5)? 68. (y + 2)? = 1 49 36 36 49 (x - 5)? 69. (y + 2)² = 1 (y + 2)² = 1 (x - 5)? 49 36 70. 49 36 А. В. С. D. 15 12 41 6 -6-4-2 4 6 8 10 12 14 4 6 8 10 12 14 -6 -4 2. 4 6 8 10l 12 14 -6 1k 15 18 21 -6arrow_forward
- Draw the graph of each ellipsearrow_forwardFor Exercises 27–34, an equation of a parabola x = 4py or y = 4px is given. a. Identify the vertex, value of p, focus, and focal diameter of the parabola. b. Identify the endpoints of the latus rectum. c. Graph the parabola. d. Write equations for the directrix and axis of symmetry. (See Examples 2-3) 27. x -4y 28. x -20y 29. 10y = 80x 30. 3y = 12x 31. 4x 40y 32. 2x 14y 33. y = 34. y = -2x = -X %3Darrow_forwardIn Exercises 17-30, find the standard form of the equation of each parabola satisfying the given conditions. 17. Focus: (7,0); Directrix: x = -7 18. Focus: (9,0); Directrix: x = -9 19. Focus: (-5,0); Directrix: x = 5 20. Focus: (-10, 0); Directrix: x = 10 21. Focus: (0, 15); Directrix: y = -15 22. Focus: (0,20); Directrix: y = -20 23. Focus: (0, –25); Directrix: y = 25 24. Focus: (0, -15); Directrix: y = 15 25. Vertex: (2, -3); Focus: (2, -5) 26. Vertex: (5, -2); Focus: (7, -2) 27. Focus: (3, 2); Directrix: x = -1 28. Focus: (2, 4); Directrix: x = -4 29. Focus: (-3, 4); Directrix: y = 2 30. Focus: (7, –1); Directrix: y = -9arrow_forward
- Which equation represents the ellipse with vertices located at (3, -3) and (3, -13) and foci at (3, -5) and (3, -11)? A.(x-3)^2/25+(y-8)^2/16=1 B.(x-3)^2/16+(y+8)^2/25=1 C.(x+3)^2/36+(y+8)^2/25=1 D. (x-3)^2/16+(y-8)^2/25=1arrow_forwardWhich are the foci for the hyperbola modeled by the equation (X-32 (x-1)²-1? 36 13 O (1. 10) and (1,-4) O (3.8) and (3, -8) O (1.9) and (1, -3) O (-6, 0) and (6, 0)arrow_forward6) Write an equation of the parabola with the vertex (3, -1) and the focus (3, -5).arrow_forward
- 3) Explain how changing the a, h, and k variables affect the shape of the parabola in the vertex form y = a(x - h)² + k. [3 Communication Marks] Page 1arrow_forwardsupply the direction of the opening, vertex, focus, ends of latus rectum, and graph 2y2y^2 + x + 8y − 4 = 0arrow_forwardDraw the graph of each hyperbolaarrow_forward
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