a. Explanation Formula Used: Distance between two points P ( x 1 , y 1 ) , Q ( x 2 , y 2 ) is given by: d = ( x 2 − x 1 ) 2 + ( y 2 − y 1 ) 2 And midpoint M of the line segment with endpoints P ( x 1 , y 1 ) , Q ( x 2 , y 2 ) has coordinates: M ( x 1 + x 2 2 , y 1 + y 2 2 ) Calculations: Now for the points P ( − 5 , 3 ) , Q ( − 5 , − 7 ) , x-coordinates of both are -5 and y- coordinates are 3 and -7 respectively. Plotting these on the Cartesian coordinates: Now, distance between P ( − 5 , 3 ) and Q ( − 5 , − 7 ) is given by: d = ( x 2 − x 1 ) 2 + ( y 2 − y 1 ) 2 b. To determine To find: first plot P ( − 4 , 3 ) , Q ( 3 , − 4 ) on a Cartesian plane, then find distance between them and the midpoint of line segment P Q ¯ .

Student's Solution and Survival Manual for Calculus

7th Edition

ISBN: 9781524934040

Author: STRAUSS MONTY J, TODA MAGDALENA DANIELE, SMITH KARL J

Publisher: Kendall Hunt Publishing

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Question

Chapter 1.2, Problem 6PS

To determine

To find:first plotyy13 P(−5,3),Q(−5,−7) on a Cartesian plane, then find distance between them and the midpoint of line segment PQ¯ .

To determine

To find: first plot P(−4,3),Q(3,−4) on a Cartesian plane, then find distance between them and the midpoint of line segment PQ¯ .

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Chapter 1.2, Problem 5PS

Chapter 1.2, Problem 7PS

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Chapter 1 Solutions

Student's Solution and Survival Manual for Calculus

Ch. 1.1 - Prob. 1PS Ch. 1.1 - Prob. 2PS Ch. 1.1 - Prob. 3PS Ch. 1.1 - Prob. 4PS Ch. 1.1 - Prob. 5PS Ch. 1.1 - Prob. 6PS Ch. 1.1 - Prob. 7PS Ch. 1.1 - Prob. 8PS Ch. 1.1 - Prob. 9PS Ch. 1.1 - Prob. 10PS

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Knowledge Booster

first plotyy13 P ( − 5 , 3 ) , Q ( − 5 , − 7 ) on a Cartesian plane, then find distance between them and the midpoint of line segment P Q ¯ .

Solution Summary: The author calculates distance between two points on a Cartesian plane and the midpoint of the line segment.

To find:first plotyy13 P(−5,3),Q(−5,−7) on a Cartesian plane, then find distance between them and the midpoint of line segment PQ¯ .

To find: first plot P(−4,3),Q(3,−4) on a Cartesian plane, then find distance between them and the midpoint of line segment PQ¯ .

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Chapter 1 Solutions