/*! 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. 36 Find an equation for each ellips... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 10: Q. 36 (page 654)

Find an equation for each ellipse. Graph the equation by hand.

Vertices at卤4,0, y-intercepts are卤1

Short Answer

Expert verified

The equation of ellipse is x216+y21=1and the graph is

Step by step solution

01

Step 1. Given Information

We are given vertices and y-intercept as卤4,0and卤1

02

Step 2. Calculation

The major axis of the ellipse is the x-axis and the center is at the midpoint of vertices which is the origin. From the given y-intercepts, we have, b=1and the distance of the center from one of the vertices is a=4

Find the value of foci using the formula.

c2=a2-b2c2=16-1c2=15

Thus, the equation of ellipse is as follows,

x2a2+y2b2=1x216+y21=1

On plotting the points on the graph, we get,

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

The graph of a parabola is given. Match graph to its equation.

and equations of the parabola areA)y2=4xC)y2=-4xE)(y-1)2=4(x-1)G)(y-1)2=-4(x-1)B)x2=4yD)x2=-4yF)(x+1)2=4(y+1)H)(x+1)2=4(y+1)

In Problems 31鈥� 42, rotate the axes so that the new equation contains no xy-term. Analyze and graph the new equation. Refer to Problems 21鈥�30 for Problems 31鈥� 40.

localid="1647365908255" x2+4xy+y2-3=0

The standard equation of a circle with center at (2,-3)and radius 1 is ________.

Find an equation for each ellipse. Graph the equation by hand.

Center at(1,2)vertex at(1,4) contains the point(1+3,3).

In Problems 43鈥�52, identify the graph of each equation without applying a rotation of axes.

2x2-3xy+4y2+2x+3y-5=0
See all solutions

Recommended explanations on Math Textbooks

Pure Maths

Read Explanation

Discrete Mathematics

Read Explanation

Geometry

Read Explanation

Statistics

Read Explanation

Logic and Functions

Read Explanation

Mechanics 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.