Algebra: A Combined Approach (4th Edition)

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

Chapter 6 - Section 6.5 - Factoring by Special Products - Exercise Set - Page 449: 108

Answer

a) 720 ft b) 384 ft c) 7 seconds d) $16*(7-t)(7+t)$

Work Step by Step

a) $t=2$ $h=784-16t^2$ $h=784-16*2^2$ $h=784-16*4$ $h=784-64$ $h=720$ b) $t=5$ $h=784-16t^2$ $h=784-16*5^2$ $h=784-16*25$ $h=784-400$ $h=384$ c) $h=784-16t^2$ $0=784-16t^2$ $16t^2=784$ $16t^2/16=784/16$ $t^2 = 49$ $\sqrt {t^2} = \sqrt {49}$ $t=±7$ We can't have a negative time, so $t=7$. d) $784-16t^2$ $16(49-t^2)$ $16*(7-t)(7+t)$
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