Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Chapter 1 - 1.1 - Graphs of Equations - 1.1 Exercises - Page 78: 14

Answer

(a) The point $(6,0)$ does not lie on the graph of $2x^2+5y^2=8$ (b) The point $(0,4)$ does not lie on the graph of $2x^2+5y^2=8$

Work Step by Step

$2x^2+5y^2=8$ (a) Point: $(6,0)$: $2(6)^2+5(0)^2=2(36)+5(0)=72\ne8$ (b) Point: $(0,4)$: $2(0)^2+5(4)^2=2(0)+5(16)=80\ne8$
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