Advanced Mathematical Concepts: Precalculus with Applications, Student Edition

1st Edition

ISBN: 9780078682278

Author: McGraw-Hill, Berchie Holliday

Publisher: Glencoe/McGraw-Hill

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Concept explainers

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.

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Question

Chapter 10.1, Problem 15E

To determine

To find: The distance between given pair of points with the coordinates (−1,−6),(5,−3) . Then find the coordinates of the midpoint of the segment that has endpoints at the given coordinates.

Expert Solution & Answer

Answer to Problem 15E

The distance between pair =35

The midpoint is: (2,−9/2)

Explanation of Solution

Given information: (−1,−6),(5,−3)

Calculation:

The distance formula of two points (x1,y1) and (x2,y2) is:

d=(x1−x2)2+(y1−y2)2

The points are: (−1,−6),(5,−3) we get the distanced:

d=(−1−5)2+(−6+3)2d=45d=35

The midpoint of the segment with endpoints (x1,y1)and(x2,y2) is:

(x1+x22,y1+y22)

The midpoint is:

(−1+52,−6−32),

That is:

(2,−9/2)

Thus,

The distance between pair =35

The midpoint is: (2,−9/2)

Chapter 10.1, Problem 14E

Chapter 10.1, Problem 16E

Chapter 10 Solutions

Advanced Mathematical Concepts: Precalculus with Applications, Student Edition

Ch. 10.1 - Prob. 1CFU Ch. 10.1 - Prob. 2CFU Ch. 10.1 - Prob. 3CFU Ch. 10.1 - Prob. 4CFU Ch. 10.1 - Prob. 5CFU Ch. 10.1 - Prob. 6CFU Ch. 10.1 - Prob. 7CFU Ch. 10.1 - Prob. 8CFU Ch. 10.1 - Prob. 9CFU Ch. 10.1 - Prob. 10CFU

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The distance between given pair of points with the coordinates ( − 1 , − 6 ) , ( 5 , − 3 ) . Then find the coordinates of the midpoint of the segment that has endpoints at the given coordinates.

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To find: The distance between given pair of points with the coordinates (−1,−6),(5,−3) . Then find the coordinates of the midpoint of the segment that has endpoints at the given coordinates.

Answer to Problem 15E

Explanation of Solution

Chapter 10 Solutions

Additional Math Textbook Solutions