Question: Solve the problem. Write the equation of a hyperbola consisting of all points in the plane for which the absolute value of the difference of

Solve the problem.

Write the equation of a hyperbola consisting of all points in the plane for which the absolute value of the difference of the distances from (0, 0) and (0, 4) is 2.

Step by Step Solution

★★★★★

3.49 Rating (162 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

The points F00 and F 04 are the foci so the center of the hyperbola is 02hk and c 2 c 4 A... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related College Algebra Questions!

Write the equation of a line with slope 1 through (1, 2).

Find an equation of a hyperbola with vertices (3, 7) and (-3, 7) and e = 5/3. The eccentricity of a hyperbola is defined as e = c > a. For a hyperbola, c > a > 0, so e > 1 when e is close to 1, a...

Find an equation of a hyperbola with vertices (-1, 3) and (-1, 7) and e = 4. The eccentricity of a hyperbola is defined as e = c > a. For a hyperbola, c > a > 0, so e > 1 when e is close to 1, a...

Physic 265 Test 3 Name 11 (Bonus 5 points) Legal question. In the state of California is it legal for a man to marry his widow's sister? (You need a bit more than a simple Yes or No) Copyright @ B....

Ellipses Practice Ellipse - the set of all points in a plane, the SUM of whose distances from two distinct fixed points (FOCI) is constant. Standard Equation of an Ellipse (x-n)2 (-k ) = 1 (x -h ) *...

3) Answers on the questions provided at the end of the data sheets. Answers the neatly within designated spaces or type them. Data Sheet: F9a: Fluid Mechanics & Bernoulli's Principle NAME: Amanda...

PRE-CALCULUS 4. Which of the following equations represents an ellipse with horizontal minor axis? A. -+ 16y2 = 16 141 =2 D. 10 5. A point moves so that the difference of their distances from (-6,0)...

MATHEMATICS FOR MACHINE LEARNING Marc Peter Deisenroth A. Aldo Faisal Cheng Soon Ong Contents Foreword 1 Part I Mathematical Foundations 9 1 Introduction and Motivation 11 1.1 Finding Words for...

Open the Hyperbola interactive figure, which is available in the Video & Resource Library of MyLab Math (under Interactive Figures) or at bit.ly/3raFUGB. (a) Set the slider to a = 2. Grab the point F...

\fCOMPLEX VARIABLES AND APPLICATIONS Eighth Edition James Ward Brown Professor of Mathematics The University of Michigan-Dearborn Ruel V. Churchill Late Professor of Mathematics The University of...

a) Calculate and show the current ratio, and acid test ratio to one decimal point for each year. b) For each year, generate a common-size income statement. Display your results to one decimal point....

Kathy Wintz formed a lawn service business as a summer job. To start the business on May 1, she deposited $1,000 in a new bank account in the name of the business. The $1,000 consisted of a $600 loan...

Windspring Spas, Inc. reports the following information for August \ table [ [ Sales Revenue,$ 8 0 0 , 0 0 0

=+ 4. What is the family life cycle?

If possible, find AB and BA. -1 ^ = [2 - 1] A 0 B = -2 3 12

If possible, solve the system. a + b + c = 0 a b c = 3 a + 3b + 3c = 5 -

Let A be the given matrix. Find A -1 without a calculator. -21 07 101 -1 10

Dividends on common stock during Year 2 totaled $4,500. The market price of common stock at the end of Year 2 was $10.88 per share. The company's equity multiplier at the end of Year 2 is closest to:...

Current Attempt in Progress Prepare the following adjusting entries at August 31 for Walgreens. (a) Interest on notes payable of $302 is accrued. (b) Services performed but unbilled total \$1,463....

1)commercial/residential 2)an open-end/a closed end 9. Choosing a real estate investment Comparing Real Estate Investments Suppose Deborah wants to invest in real estate and is considering two...