/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q 11.39. Graph: x24+y216=1.... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 11: Q 11.39. (page 1108)

Graph: x24+y216=1.

Short Answer

Expert verified

The graph of an ellipse is shown below:

Step by step solution

01

Given Information

The given ellipse is x24+y216=1.

02

Step 2. Write the equation in standard form.

The standard form of an ellipse is x2a2+y2b2=1鈥�(1).

Compare the given equation with standard form and conclude that width="92">x24+y216=1is in standard form.

03

Step 3. Find whether the major axis is horizontal or vertical.

Compare the equation (1)with x24+y216=1to find a2and b2.

a2=4b2=16

Since 16>4and 16is in the y2term, the major axis will be vertical.

04

Step 4. Find the endpoints of the major axis.

The endpoints will be the y-intercepts.

Since b2=16, b=卤4.

Thus, the coordinates of the endpoints of the major axis are role="math" localid="1645594892127" (0,4)and role="math" localid="1645594900062" (0,-4).

05

Step 5. Find the endpoints of the minor axis.

The endpoints will be the x-intercepts.

Since a2=4, a=卤2.

Thus, the coordinates of the endpoints of the minor axis are (2,0)and (-2,0).

06

Step 6. Draw the ellipse.

The graph of an ellipse is shown below:

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

Most popular questions from this chapter

Factor:4m(m+3)-7(m+3).

The number of hours it takes for ice to melt varies inversely with the air temperature. Suppose a block of ice melts in 2 hours when the temperature is 65 degrees Celsius.

  1. Write the equation of variation.
  2. How many hours would it take for the same block of ice to melt if the temperature was 78 degrees?

Simplify each expression:

鈸�y43y37鈸�1015107鈸�m7m15鈸�98919

Solve:9x+914-2=1

In the following exercises, subtract the polynomials.

12s2-15s-(s-9)
See all solutions

Recommended explanations on Math Textbooks

Logic and Functions

Read Explanation

Applied Mathematics

Read Explanation

Geometry

Read Explanation

Statistics

Read Explanation

Discrete Mathematics

Read Explanation

Decision Maths

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.