Precalculus with Limits: A Graphing Approach
Precalculus with Limits: A Graphing Approach
7th Edition
ISBN: 9781305071711
Author: Ron Larson
Publisher: Brooks/Cole
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Chapter 10.1, Problem 52E
To determine

Tofind:Themidpoint of the line segment joining the points (9, −5, 1) and (9, −2, −4) .

Expert Solution & Answer
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Answer to Problem 52E

Themidpoint of the line segment joining the points (9, −5, 1) and (9, −2, −4) is (9, −72, −32) .

Explanation of Solution

Given information:

The given points are (9, −5, 1) and (9, −2, −4) .

Calculation:

The midpointof the line segment joining the two points (x1, y1, z1) and (x2, y2, z2) can be calculated by the midpoint formula in space.

  Midpoint=(x1+x22,y1+y22,z1+z22)

Let (x1, y1, z1)=(9, −5, 1) and (x2, y2, z2)=(9, −2, −4) are the two points.

Substitute the values in the above formula to calculate the midpoint.

  Midpoint=(9+92, −5+(−2)2, 1+(−4)2)=(182, −72, −32)=(9, −72, −32)

Therefore, themidpoint of the line segment joining the points (9, −5, 1) and (9, −2, −4) is (9, −72, −32) .

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Chapter 10.1, Problem 51E
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Chapter 10.1, Problem 53E

Chapter 10 Solutions

Precalculus with Limits: A Graphing Approach

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