Algebra and Trigonometry 10th Edition

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

Prerequisites - P.6 - The Rectangular Coordinate System and Graph - Exercises - Page 59: 48

Answer

False

Work Step by Step

To divide a line into 2 equal parts it has to be bisected once and hence the midpoint formula is used 1 time. To divide a point into 4 equal parts, the midpoint formula is applied once each to the equal parts from before, giving a total three usages of the formula so far and 8 equal parts would then require 7 usages and so on. As can bee seen to divide a line into $2^{n}$ parts we require $2^{n-1}$ usages of the midpoint formula
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