Answer
ellipse.
Work Step by Step
As the equation contains both $x^2$ and $y^2$ terms with the same signs, the equation is an ellipse. In terms of the coefficients, we have $A=9, C=4$ and $AC=36\gt0$; thus the equation is an ellipse.
Precalculus (6th Edition) Blitzer
by Blitzer, Robert F.
Published by
Pearson
ISBN 10:
0-13446-914-3
ISBN 13:
978-0-13446-914-0
Chapter 9 - Mid-Chapter Check Point - Page 1000: 16
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