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: 106

Answer

a) 777 ft b) 441 ft c) 7 seconds d) $(29+4t)(29-4t)$

Work Step by Step

a) $t=2$ $h=841-16t^2$ $h=841-16*2^2$ $h=841-16*4$ $h=841-64$ $h=777$ b) $t=5$ $h=841-16t^2$ $h=841-16*5^2$ $h=841-16*25$ $h=841-400$ $h=441$ c) $h=841-16t^2$ $0=841-16t^2$ $16t^2=841$ $16t^2/16=841/16$ $t^2=52.5625$ $\sqrt {t^2}=\sqrt {52.5625}$ $t=±7.25$ We can't have a negative time, so $t=7.25$ d) $841-16t^2$ $29^2-(4t)^2$ $(29+4t)(29-4t)$
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