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. )
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. )
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter10: Analytic Geometry
Section10.1: The Rectangular Coordinate System
Problem 51E
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(a) Graph the
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. )
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