Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 10: Q. 44 (page 677)

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

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

Short Answer

Expert verified

The equation defines ellipse.

Step by step solution

01

Step 1. Given Information

The given equation is 2x2-3xy+4y2+2x+3y-5=0

HereA=2,B=-3,C=4A=2,B=-3,C=4

02

Step 2. Identifying Conic

B2-4AC=-32-424B2-4AC=9-32=-23<0

The equation defines ellipse.

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.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

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

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

Foci at(1,2)and(-3,2): vertex at(-4,2).

Find the equation of the parabola described. Find the two points that define the latus rectum, and graph the equation by hand.

Vertex is at4,-2and focus is at6,-2.

Lightning Strikes Suppose that two people standing 1mile apart both see a flash of lightning. After a period of time, the first person standing at point Ahears the thunder. Two seconds later, the second person standing at point Bhears the thunder. If the person at point Bis due west of the person at point A and if the lightning strike is known to occur due north of the person standing at point A, where did the lightning strike occur?

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)

Find the equation of the parabola described. Find the two points that define the latus rectum, and graph the equation by hand.

Vertex at 0,0, axis of symmetry is the x-axis; containing the point2,3.
See all solutions

Recommended explanations on Math Textbooks

Decision Maths

Read Explanation

Pure Maths

Read Explanation

Geometry

Read Explanation

Statistics

Read Explanation

Applied Mathematics

Read Explanation

Calculus

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.

Sign-up for free