Algebra: A Combined Approach (4th Edition)

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

Chapter 13 - Section 13.1 - The Parabola and the Circle - Exercise Set - Page 928: 55

Answer

A: 125 Ft B: 14 Ft C: 139 Ft D: (0, 139) E: (x)^2+(y-139)^2=15625

Work Step by Step

A: Radius= Diameter/2 thus Radius = 250/2 =125 B: Max height - diameter = Height to bottom of wheel, thus 264-250=14 C: Radius+ Height From Ground = (y) center, The radius (125) + Height from ground (14) = 139. So the center is 139 ft high. D: We assume the origin is when x=0. So the coordinate is just (0, y-intercept of center) which plugged in is (0, 139). E: Remember the equation of a circle: (x – h)2 + (y – k)2 = r2, with the center being point (h, k) and the radius at "r". Plugging in our center and radius, we get (x-0)^2 +(y-139)^2=125^2
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