College Algebra (6th Edition)
College Algebra (6th Edition)
6th Edition
ISBN: 9780321916600
Author: Mark Dugopolski
Publisher: PEARSON
bartleby

Concept explainers

Vertices Of An Ellipse
In the study of the conic section of the geometry, An ellipse is a plane curve surrounding two focal points, or foci where the set of all locus of points in the plane has their sum of the distances to the two foci is constant. On the ellipse curve, it is…
bartleby

Videos

Textbook Question
Book Icon
Chapter 7.2, Problem 37E

Sketch the graph of each ellipse and identify the foci.

9 x 2 + 54 x + 4 y 2 + 16 y = − 61

Expert Solution & Answer
Check Mark

Want to see the full answer?

Check out a sample textbook solution
Blurred answer
Previous
Chapter 7.2, Problem 36E
Next
Chapter 7.2, Problem 38E

Chapter 7 Solutions

College Algebra (6th Edition)

Ch. 7.1 - True or False? Explain. A parabola with focus (0,...Ch. 7.1 - Prob. 2FTCh. 7.1 - Prob. 3FTCh. 7.1 - Prob. 4FTCh. 7.1 - Prob. 5FTCh. 7.1 - Prob. 6FTCh. 7.1 - Prob. 7FTCh. 7.1 - Prob. 8FTCh. 7.1 - Prob. 9FTCh. 7.1 - Prob. 10FT
Ch. 7.1 - Fill in the blank. A curve obtained by...Ch. 7.1 - Prob. 2ECh. 7.1 - Prob. 3ECh. 7.1 - Prob. 4ECh. 7.1 - Each of the following graphs shows a parabola...Ch. 7.1 - Prob. 6ECh. 7.1 - Prob. 7ECh. 7.1 - Prob. 8ECh. 7.1 - Each of the following graphs shows a parabola...Ch. 7.1 - Prob. 10ECh. 7.1 - Find the equation of the parabola with the given...Ch. 7.1 - Prob. 12ECh. 7.1 - Find the equation of the parabola with the given...Ch. 7.1 - Prob. 14ECh. 7.1 - Find the equation of the parabola with the given...Ch. 7.1 - Prob. 16ECh. 7.1 - Find the equation of the parabola with the given...Ch. 7.1 - Prob. 18ECh. 7.1 - Find the equation of the parabola with the given...Ch. 7.1 - Prob. 20ECh. 7.1 - Prob. 21ECh. 7.1 - Prob. 22ECh. 7.1 - Prob. 23ECh. 7.1 - Prob. 24ECh. 7.1 - Determine the vertex, focus, and directrix for...Ch. 7.1 - Prob. 26ECh. 7.1 - Prob. 27ECh. 7.1 - Prob. 28ECh. 7.1 - Determine the vertex, focus, and directrix for...Ch. 7.1 - Prob. 30ECh. 7.1 - Prob. 31ECh. 7.1 - Prob. 32ECh. 7.1 - Prob. 33ECh. 7.1 - Prob. 34ECh. 7.1 - Prob. 35ECh. 7.1 - Prob. 36ECh. 7.1 - Prob. 37ECh. 7.1 - Prob. 38ECh. 7.1 - Prob. 39ECh. 7.1 - Prob. 40ECh. 7.1 - Find the vertex, focus, and directrix of each...Ch. 7.1 - Prob. 42ECh. 7.1 - Prob. 43ECh. 7.1 - Prob. 44ECh. 7.1 - Prob. 45ECh. 7.1 - Prob. 46ECh. 7.1 - Find the vertex, focus, and directrix of each...Ch. 7.1 - Prob. 48ECh. 7.1 - Prob. 49ECh. 7.1 - Prob. 50ECh. 7.1 - Prob. 51ECh. 7.1 - Prob. 52ECh. 7.1 - Find the vertex, axis of symmetry, x-intercepts,...Ch. 7.1 - Find the vertex, axis of symmetry, x-intercepts,...Ch. 7.1 - Find the vertex, axis of symmetry, x-intercepts,...Ch. 7.1 - Prob. 56ECh. 7.1 - Find the vertex, axis of symmetry, x-intercepts,...Ch. 7.1 - Find the vertex, axis of symmetry, x-intercepts,...Ch. 7.1 - Find the vertex, axis of symmetry, x-intercepts,...Ch. 7.1 - Prob. 60ECh. 7.1 - Prob. 61ECh. 7.1 - Prob. 62ECh. 7.1 - Prob. 63ECh. 7.1 - Prob. 64ECh. 7.1 - Find the vertex, axis of symmetry, x-intercept,...Ch. 7.1 - Prob. 66ECh. 7.1 - Prob. 67ECh. 7.1 - Prob. 68ECh. 7.1 - Prob. 69ECh. 7.1 - Prob. 70ECh. 7.1 - Find the vertex, axis of symmetry, x-intercept,...Ch. 7.1 - Prob. 72ECh. 7.1 - Prob. 73ECh. 7.1 - Prob. 74ECh. 7.1 - Prob. 75ECh. 7.1 - Prob. 76ECh. 7.1 - Prob. 77ECh. 7.1 - Prob. 78ECh. 7.1 - Find the equation of the parabola determined by...Ch. 7.1 - Prob. 80ECh. 7.1 - Solve each problem. The Hale Telescope The focus...Ch. 7.1 - Prob. 82ECh. 7.1 - Prob. 83ECh. 7.1 - Prob. 84ECh. 7.1 - Prob. 85ECh. 7.1 - Prob. 86ECh. 7.1 - Prob. 87ECh. 7.1 - Prob. 88ECh. 7.1 - Prob. 89ECh. 7.1 - Prob. 90ECh. 7.1 - Prob. 91ECh. 7.1 - Prob. 92ECh. 7.1 - Prob. 93ECh. 7.1 - Prob. 94ECh. 7.1 - Prob. 95ECh. 7.1 - Prob. 96ECh. 7.1 - Prob. 1PQCh. 7.1 - Find the vertex, focus, and directrix for Ch. 7.1 - Prob. 3PQCh. 7.1 - For Individual or Group Explorations Tangent...Ch. 7.2 - True or False? Explain. 1. The x-intercepts for ...Ch. 7.2 - Prob. 2FTCh. 7.2 - Prob. 3FTCh. 7.2 - Prob. 4FTCh. 7.2 - Prob. 5FTCh. 7.2 - Prob. 6FTCh. 7.2 - Prob. 7FTCh. 7.2 - Prob. 8FTCh. 7.2 - Prob. 9FTCh. 7.2 - True or False? Explain. 10. The radius of the...Ch. 7.2 - Fill in the blank. The set of all points in a...Ch. 7.2 - Prob. 2ECh. 7.2 - Prob. 3ECh. 7.2 - Prob. 4ECh. 7.2 - Each of the following graphs shows an ellipse...Ch. 7.2 - Prob. 6ECh. 7.2 - Each of the following graphs shows an ellipse...Ch. 7.2 - Prob. 8ECh. 7.2 - Find the equation of each ellipse described below...Ch. 7.2 - Find the equation of each ellipse described below...Ch. 7.2 - Find the equation of each ellipse described below...Ch. 7.2 - Prob. 12ECh. 7.2 - Find the equation of each ellipse described below...Ch. 7.2 - Prob. 14ECh. 7.2 - Find the equation of each ellipse described below...Ch. 7.2 - Prob. 16ECh. 7.2 - Sketch the graph of each ellipse and identify the...Ch. 7.2 - Sketch the graph of each ellipse and identify the...Ch. 7.2 - Sketch the graph of each ellipse and identify the...Ch. 7.2 - Prob. 20ECh. 7.2 - Prob. 21ECh. 7.2 - Sketch the graph of each ellipse and identify the...Ch. 7.2 - Prob. 23ECh. 7.2 - Prob. 24ECh. 7.2 - Prob. 25ECh. 7.2 - Prob. 26ECh. 7.2 - Prob. 27ECh. 7.2 - Prob. 28ECh. 7.2 - Sketch the graph of each ellipse and identify the...Ch. 7.2 - Prob. 30ECh. 7.2 - Prob. 31ECh. 7.2 - Prob. 32ECh. 7.2 - Prob. 33ECh. 7.2 - Prob. 34ECh. 7.2 - Prob. 35ECh. 7.2 - Prob. 36ECh. 7.2 - Sketch the graph of each ellipse and identify the...Ch. 7.2 - Prob. 38ECh. 7.2 - Find the equation of each ellipse and identify its...Ch. 7.2 - Prob. 40ECh. 7.2 - Find the equation of each ellipse and identify its...Ch. 7.2 - Prob. 42ECh. 7.2 - Prob. 43ECh. 7.2 - Prob. 44ECh. 7.2 - Prob. 45ECh. 7.2 - Prob. 46ECh. 7.2 - Prob. 47ECh. 7.2 - Prob. 48ECh. 7.2 - Prob. 49ECh. 7.2 - Prob. 50ECh. 7.2 - Prob. 51ECh. 7.2 - Prob. 52ECh. 7.2 - Prob. 53ECh. 7.2 - Prob. 54ECh. 7.2 - Prob. 55ECh. 7.2 - Prob. 56ECh. 7.2 - Prob. 57ECh. 7.2 - Prob. 58ECh. 7.2 - Prob. 59ECh. 7.2 - Prob. 60ECh. 7.2 - Prob. 61ECh. 7.2 - Prob. 62ECh. 7.2 - Prob. 63ECh. 7.2 - Prob. 64ECh. 7.2 - Prob. 65ECh. 7.2 - Prob. 66ECh. 7.2 - Prob. 67ECh. 7.2 - Prob. 68ECh. 7.2 - Prob. 69ECh. 7.2 - Prob. 70ECh. 7.2 - Prob. 71ECh. 7.2 - Prob. 72ECh. 7.2 - Prob. 73ECh. 7.2 - Prob. 74ECh. 7.2 - Write each of the following equations in one of...Ch. 7.2 - Prob. 76ECh. 7.2 - Prob. 77ECh. 7.2 - Prob. 78ECh. 7.2 - Prob. 79ECh. 7.2 - Prob. 80ECh. 7.2 - Solve each problem. 81. Foci and a Point Find the...Ch. 7.2 - Solve each problem. Foci and Eccentricity Find the...Ch. 7.2 - Solve each problem. Focus of Elliptical Reflector...Ch. 7.2 - Prob. 84ECh. 7.2 - Solve each problem. Comet Hale-Bopp Comet...Ch. 7.2 - Prob. 86ECh. 7.2 - Prob. 87ECh. 7.2 - Solve each problem. Adjacent Circles A...Ch. 7.2 - Prob. 89ECh. 7.2 - Solve each problem. 90. Orbit of Mir The...Ch. 7.2 - Solve each problem. Tangent to an Ellipse It can...Ch. 7.2 - Prob. 92ECh. 7.2 - Prob. 93ECh. 7.2 - Prob. 94ECh. 7.2 - Prob. 95ECh. 7.2 - Prob. 96ECh. 7.2 - Prob. 97ECh. 7.2 - Prob. 98ECh. 7.2 - Prob. 99ECh. 7.2 - Prob. 100ECh. 7.2 - Prob. 101ECh. 7.2 - Prob. 102ECh. 7.2 - Prob. 103ECh. 7.2 - Prob. 104ECh. 7.2 - Prob. 1PQCh. 7.2 - Prob. 2PQCh. 7.2 - Prob. 3PQCh. 7.2 - Prob. LCCh. 7.3 - True or False? Explain. 1. The graph of is a...Ch. 7.3 - Prob. 2FTCh. 7.3 - Prob. 3FTCh. 7.3 - Prob. 4FTCh. 7.3 - Prob. 5FTCh. 7.3 - Prob. 6FTCh. 7.3 - Prob. 7FTCh. 7.3 - Prob. 8FTCh. 7.3 - Prob. 9FTCh. 7.3 - Prob. 10FTCh. 7.3 - Prob. 1ECh. 7.3 - Prob. 2ECh. 7.3 - Prob. 3ECh. 7.3 - Prob. 4ECh. 7.3 - Each of the following graphs shows a hyperbola...Ch. 7.3 - Prob. 6ECh. 7.3 - Prob. 7ECh. 7.3 - Prob. 8ECh. 7.3 - Determine the foci and the equations of the...Ch. 7.3 - Prob. 10ECh. 7.3 - Determine the foci and the equations of the...Ch. 7.3 - Prob. 12ECh. 7.3 - Determine the foci and the equations of the...Ch. 7.3 - Prob. 14ECh. 7.3 - Determine the foci and the equations of the...Ch. 7.3 - Prob. 16ECh. 7.3 - Prob. 17ECh. 7.3 - Prob. 18ECh. 7.3 - Prob. 19ECh. 7.3 - Prob. 20ECh. 7.3 - Sketch the graph of each hyperbola. Determine the...Ch. 7.3 - Prob. 22ECh. 7.3 - Prob. 23ECh. 7.3 - Prob. 24ECh. 7.3 - Prob. 25ECh. 7.3 - Sketch the graph of each hyperbola. Determine the...Ch. 7.3 - Prob. 27ECh. 7.3 - Prob. 28ECh. 7.3 - Find the equation of each hyperbola described...Ch. 7.3 - Prob. 30ECh. 7.3 - Prob. 31ECh. 7.3 - Prob. 32ECh. 7.3 - Prob. 33ECh. 7.3 - Prob. 34ECh. 7.3 - Find the equation of each hyperbola.Ch. 7.3 - Prob. 36ECh. 7.3 - Prob. 37ECh. 7.3 - Prob. 38ECh. 7.3 - Prob. 39ECh. 7.3 - Prob. 40ECh. 7.3 - Prob. 41ECh. 7.3 - Prob. 42ECh. 7.3 - Prob. 43ECh. 7.3 - Prob. 44ECh. 7.3 - Rewrite each equation in one of the standard forms...Ch. 7.3 - Prob. 46ECh. 7.3 - Prob. 47ECh. 7.3 - Prob. 48ECh. 7.3 - Prob. 49ECh. 7.3 - Prob. 50ECh. 7.3 - Prob. 51ECh. 7.3 - Prob. 52ECh. 7.3 - Solve each problem. 53. Telephoto Lens The focus...Ch. 7.3 - Prob. 54ECh. 7.3 - Prob. 55ECh. 7.3 - Prob. 56ECh. 7.3 - Prob. 57ECh. 7.3 - Prob. 58ECh. 7.3 - Prob. 59ECh. 7.3 - Prob. 60ECh. 7.3 - Prob. 61ECh. 7.3 - Prob. 62ECh. 7.3 - Prob. 63ECh. 7.3 - Prob. 64ECh. 7.3 - Prob. 65ECh. 7.3 - Prob. 66ECh. 7.3 - Prob. 67ECh. 7.3 - Prob. 68ECh. 7.3 - Transporting a Pipe Two corridors are 8 ft wide...Ch. 7.3 - 70. A Little Lagniappe A regulation basketball in...Ch. 7.3 - Prob. 1PQCh. 7.3 - Prob. 2PQCh. 7.3 - Prob. LCCh. 7 - For Exercises 1–6, sketch the graph of each...Ch. 7 - Prob. 2RECh. 7 - Prob. 3RECh. 7 - Prob. 4RECh. 7 - Prob. 5RECh. 7 - Prob. 6RECh. 7 - Sketch the graph of each ellipse, and determine...Ch. 7 - Prob. 8RECh. 7 - Prob. 9RECh. 7 - Sketch the graph of each ellipse, and determine...Ch. 7 - Sketch the graph of each ellipse, and determine...Ch. 7 - Prob. 12RECh. 7 - Prob. 13RECh. 7 - Prob. 14RECh. 7 - Prob. 15RECh. 7 - Prob. 16RECh. 7 - Prob. 17RECh. 7 - Prob. 18RECh. 7 - Prob. 19RECh. 7 - Prob. 20RECh. 7 - Prob. 21RECh. 7 - Prob. 22RECh. 7 - Prob. 23RECh. 7 - Prob. 24RECh. 7 - Prob. 25RECh. 7 - Prob. 26RECh. 7 - Sketch the graph of each hyperbola. Determine the...Ch. 7 - Prob. 28RECh. 7 - Prob. 29RECh. 7 - Prob. 30RECh. 7 - Prob. 31RECh. 7 - Prob. 32RECh. 7 - Prob. 33RECh. 7 - Prob. 34RECh. 7 - Prob. 35RECh. 7 - Prob. 36RECh. 7 - Prob. 37RECh. 7 - Prob. 38RECh. 7 - Prob. 39RECh. 7 - Prob. 40RECh. 7 - Prob. 41RECh. 7 - Prob. 42RECh. 7 - Prob. 43RECh. 7 - Prob. 44RECh. 7 - Prob. 45RECh. 7 - Prob. 46RECh. 7 - Prob. 47RECh. 7 - Determine the equation of each conic section...Ch. 7 - Prob. 49RECh. 7 - Prob. 50RECh. 7 - Prob. 51RECh. 7 - Prob. 52RECh. 7 - Prob. 53RECh. 7 - Prob. 54RECh. 7 - Prob. 55RECh. 7 - Prob. 56RECh. 7 - Prob. 57RECh. 7 - Prob. 58RECh. 7 - Prob. 59RECh. 7 - Prob. 60RECh. 7 - Solve each problem. Whispering Gallery In the...Ch. 7 - Prob. 62RECh. 7 - Prob. 63RECh. 7 - Prob. 1CTCh. 7 - Prob. 2CTCh. 7 - Prob. 3CTCh. 7 - Prob. 4CTCh. 7 - Prob. 5CTCh. 7 - Prob. 6CTCh. 7 - Prob. 7CTCh. 7 - Prob. 8CTCh. 7 - Prob. 9CTCh. 7 - Determine whether each equation is the equation of...Ch. 7 - Prob. 11CTCh. 7 - Prob. 12CTCh. 7 - Prob. 13CTCh. 7 - Prob. 14CTCh. 7 - Prob. 15CTCh. 7 - Prob. 16CTCh. 7 - Prob. 17CTCh. 7 - Prob. 18CTCh. 7 - Prob. 19CTCh. 7 - Prob. 1TATCh. 7 - Prob. 2TATCh. 7 - Prob. 3TATCh. 7 - Prob. 4TATCh. 7 - Prob. 5TATCh. 7 - Prob. 6TATCh. 7 - Prob. 7TATCh. 7 - Prob. 8TATCh. 7 - Prob. 9TATCh. 7 - Prob. 10TATCh. 7 - Prob. 11TATCh. 7 - Prob. 12TATCh. 7 - Prob. 13TATCh. 7 - Prob. 14TATCh. 7 - Prob. 15TATCh. 7 - Prob. 16TATCh. 7 - Prob. 17TATCh. 7 - Prob. 18TATCh. 7 - Prob. 19TATCh. 7 - Prob. 20TATCh. 7 - Prob. 21TATCh. 7 - Prob. 22TATCh. 7 - Prob. 23TATCh. 7 - Prob. 24TATCh. 7 - Prob. 25TATCh. 7 - Prob. 26TATCh. 7 - Prob. 27TATCh. 7 - Prob. 28TATCh. 7 - Prob. 29TATCh. 7 - Prob. 30TATCh. 7 - Prob. 31TATCh. 7 - Prob. 32TATCh. 7 - Prob. 33TATCh. 7 - Prob. 34TATCh. 7 - Prob. 35TATCh. 7 - Prob. 36TATCh. 7 - Prob. 37TATCh. 7 - Prob. 38TATCh. 7 - Prob. 39TAT

Additional Math Textbook Solutions

Find more solutions based on key concepts
First Derivative Test a. Locale the critical points of f. b. Use the First Derivative Test to locale the local ...

Calculus: Early Transcendentals (2nd Edition)

In Exercises 9-20, use the data in the following table, which lists drive-thru order accuracy at popular fast f...

Elementary Statistics (13th Edition)

In Exercises 5-36, express all probabilities as fractions. 23. Combination Lock The typical combination lock us...

Elementary Statistics

Let F be a continuous distribution function. If U is uniformly distributed on (0,1), find the distribution func...

A First Course in Probability (10th Edition)

Find all solutions of each equation in the interval .

Precalculus: A Unit Circle Approach (3rd Edition)

The largest polynomial that divides evenly into a list of polynomials is called the _______.

Elementary & Intermediate Algebra

Knowledge Booster
Background pattern image
Algebra
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
Text book image
College Algebra
Algebra
ISBN:9781337282291
Author:Ron Larson
Publisher:Cengage Learning
Text book image
Trigonometry (MindTap Course List)
Trigonometry
ISBN:9781337278461
Author:Ron Larson
Publisher:Cengage Learning
Text book image
College Algebra (MindTap Course List)
Algebra
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:Cengage Learning
Text book image
Intermediate Algebra
Algebra
ISBN:9780998625720
Author:Lynn Marecek
Publisher:OpenStax College
Text book image
Algebra for College Students
Algebra
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Cengage Learning
Text book image
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:9781133382119
Author:Swokowski
Publisher:Cengage
SEE MORE TEXTBOOKS
What is Ellipse?; Author: Don't Memorise;https://www.youtube.com/watch?v=nzwCInIMlU4;License: Standard YouTube License, CC-BY