Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 13 - Section 13.2 - The Ellipse and the Hyperbola - Exercise Set - Page 940: 50

Answer

Distance between x-intercepts is greater by 6 units

Work Step by Step

Let $x=0$ (y-intercepts) $x^2/100 + y^2/49 =1$ $0^2/100 + y^2/49 =1$ $0/100 +y^2/49 =1$ $y^2/49 =1$ $y^2*49/49=1*49$ $y^2=49$ $\sqrt{y^2} = \sqrt {49}$ $y=±7$ $7- (-7)=14$ Let $y=0$ (x-intercepts) $x^2/100 + y^2/49 =1$ $x^2/100 + 0^2/49 =1$ $x^2/100 +0 = 1$ $x^2/100 =1$ $x^2/100*100 =1*100$ $x^2=100$ $\sqrt {x^2} =\sqrt {100}$ $x=±10$ $10-(-10)$ $20$
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