a) Graph the circle  x²+ y²= 4 and the hyperbola on the same  4x²―y²=1 coordinate axes using different colors. Work:   (b) Do the curves appear to intersect? If so, in how many points? (c) Set up and solve the system to find the points of intersection, if any. Work: (Solve by addition/elimination. Add the two equations to eliminate y and get an equation in x. )

PREALGEBRA
15th Edition
ISBN:9781938168994
Author:OpenStax
Publisher:OpenStax
Chapter11: Graphs
Section11.2: Graphing Linear Equations
Problem 11.42TI: Graph the equations in the same rectangular coordinate system: y = —4x and y = —4.
icon
Related questions
Question

(a) Graph the circle  x²+ y²= 4

and the hyperbola on the same  4x²―y²=1 coordinate axes using different colors.

Work:

 

(b) Do the curves appear to intersect? If so, in how many points?

(c) Set up and solve the system to find the points of intersection, if any.

Work: (Solve by addition/elimination. Add the two equations to eliminate y and get an equation in x. )

Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Hyperbolas
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.
Recommended textbooks for you
PREALGEBRA
PREALGEBRA
Algebra
ISBN:
9781938168994
Author:
OpenStax
Publisher:
OpenStax
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Intermediate Algebra
Intermediate Algebra
Algebra
ISBN:
9780998625720
Author:
Lynn Marecek
Publisher:
OpenStax College
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
Elementary Algebra
Elementary Algebra
Algebra
ISBN:
9780998625713
Author:
Lynn Marecek, MaryAnne Anthony-Smith
Publisher:
OpenStax - Rice University
Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell