Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 8 - Polynomials and Factoring - 8-1 Adding and Subtracting Polynomials - Practice and Problem-Solving Exercises - Page 490: 42


The length of the fourth side is $8a-2$.

Work Step by Step

The sum of the lengths of the given three sides is $ 9a+5a+1+17a-6=\qquad$ .....gather like terms. $=9a+5a+17a\qquad+1-6$ $=31a-5$ To find the fourth side, we subtract the sum of the given sides from the perimeter. $(39a-7)-(31a-5)=\qquad.$...remove parentheses. $=39a-7-31a+5=\qquad$ ...gather like terms. $=39a-31a\qquad-7+5$ $=8a-2$
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