Tutorial Exercise Find an equation of a sphere if one of its diameters has endpoints (7, 9, 9) and (3, 5, 7). Step 1 The center of the sphere will be the midpoint of the diameter segment. Recall that the midpoint of a segment between the points (u, v, w) and (p, q, s) is given by u + P +9 w+ s Step 2 Therefore, the midpoint of the segment between the given endpoints (7, 9, 9) and (3, 5, 7) is (플루, 오늘트, 오늘2) - ). (7+3 + 5 = (5 Step 3 The radius of the sphere is the distance from this midpoint to either endpoint. Therefore, r= V (3 - 5)2 + (5 – 7)2 + (7 - 9 / 4 + 4 + 28
Tutorial Exercise Find an equation of a sphere if one of its diameters has endpoints (7, 9, 9) and (3, 5, 7). Step 1 The center of the sphere will be the midpoint of the diameter segment. Recall that the midpoint of a segment between the points (u, v, w) and (p, q, s) is given by u + P +9 w+ s Step 2 Therefore, the midpoint of the segment between the given endpoints (7, 9, 9) and (3, 5, 7) is (플루, 오늘트, 오늘2) - ). (7+3 + 5 = (5 Step 3 The radius of the sphere is the distance from this midpoint to either endpoint. Therefore, r= V (3 - 5)2 + (5 – 7)2 + (7 - 9 / 4 + 4 + 28
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.3: Parallel And Perpendicular Lines
Problem 42PPS
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