Q. 145 Compare and contrast the graphs ... [FREE SOLUTION]

91影视

Intermediate Algebra

OPENSTAX

$Math Studyset 91影视 Explanations$ Math

OER 2017 Edition 路 1346 pages

ISBN: 9780998625720

Chapter 11: Q. 145 (page 1120)

Compare and contrast the graphs of the equations $\frac{x^{2}}{4} + \frac{y^{2}}{9} = 1 a n d \frac{x^{2}}{9} + \frac{y^{2}}{4} = 1$

Short Answer

Expert verified

From the graphs, we can see that major axis of $\frac{x^{2}}{4} + \frac{y^{2}}{9} = 1$ is on y axis or vertical and $\frac{x^{2}}{9} + \frac{y^{2}}{4} = 1$ is on x axis and both end points are same.

Step by step solution

Step 1. Given information

Here two standard form of ellipse equations are given.

we have to compare and contrast the Given information using graph.

Step 2. Graph of x24+y29=1

The graph of $\frac{x^{2}}{4} + \frac{y^{2}}{9} = 1$ is given below

Step 3. Graph of x29+y24=1

The graph of $\frac{x^{2}}{9} + \frac{y^{2}}{4} = 1$ is given below

Step 4.Comparison and contrast of the given equations

According to the graph of the given equation we get that both standard form of the equations center at origin.

Graph of $\frac{x^{2}}{4} + \frac{y^{2}}{9} = 1$ is showing that major axis is vertical or on y axis since $9 > 4$ and the endpoint are $(- 3, 0) a n d (3, 0)$ .

But the graph of $\frac{x^{2}}{9} + \frac{y^{2}}{4} = 1$ is show that its major axis is on x axis or horizontal since $9 > 4$ and end points are $(- 3, 0) a n d (3, 0)$ .Both graphs end points are same.

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

91影视

Compare and contrast the graphs of the equations $\frac{x^{2}}{4} + \frac{y^{2}}{9} = 1 a n d \frac{x^{2}}{9} + \frac{y^{2}}{4} = 1$

Short Answer

Step by step solution

Step 1. Given information

Step 2. Graph of x24+y29=1

Step 3. Graph of x29+y24=1

Step 4.Comparison and contrast of the given equations

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Applied Mathematics

Theoretical and Mathematical Physics

Probability and Statistics

Geometry

Statistics

Decision Maths

Study anywhere. Anytime. Across all devices.

91影视

Compare and contrast the graphs of the equationsx24+y29=1andx29+y24=1

Short Answer

Step by step solution

Step 1. Given information

Step 2. Graph of x24+y29=1

Step 3. Graph of x29+y24=1

Step 4.Comparison and contrast of the given equations

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Applied Mathematics

Theoretical and Mathematical Physics

Probability and Statistics

Geometry

Statistics

Decision Maths

Study anywhere. Anytime. Across all devices.

Compare and contrast the graphs of the equations $\frac{x^{2}}{4} + \frac{y^{2}}{9} = 1 a n d \frac{x^{2}}{9} + \frac{y^{2}}{4} = 1$