BIG IDEAS MATH Integrated Math 1: Student Edition 2016

16th Edition

ISBN: 9781680331127

Author: HOUGHTON MIFFLIN HARCOURT

Publisher: Houghton Mifflin Harcourt

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Question

Chapter 3.5, Problem 43E

(a)

To determine

To graph: the relationship between the width and length of the second rectangle.

(a)

Expert Solution

Answer to Problem 43E

y=−x+15 .

Explanation of Solution

Given:

BIG IDEAS MATH Integrated Math 1: Student Edition 2016, Chapter 3.5, Problem 43E , additional homework tip 1

Concept used:

Perimeter of the rectangle:

2(l+b) .

Graph can plot using Desmos graphing calculator.

Calculation:

The graph of first rectangle passes through the point (8,12) so the perimeter of the first rectangle is 40 inches.

BIG IDEAS MATH Integrated Math 1: Student Edition 2016, Chapter 3.5, Problem 43E , additional homework tip 2

p=2l+2w.⇒2(12)+2(8).⇒24+16=40.

Since, the second perimeter of the second rectangle is 10 inches less than the perimeter of the first rectangle 40−10=30.

p=2w+2l.p2=w+l.x+y=15.y=−x+15.

Hence, y=−x+15 .

(b)

To determine

To find: the comparison between graph in part (a) and given graph

(b)

Expert Solution

Answer to Problem 43E

The perimeter of the second rectangle is 10 unit less than of the first and intercept of the second graph are 102=5. unit less than those of the first.

Explanation of Solution

Given:

BIG IDEAS MATH Integrated Math 1: Student Edition 2016, Chapter 3.5, Problem 43E , additional homework tip 3

Concept used:

If the straight lines are parallel then their slope will be equal.

m1=m2 .

Perimeter of the rectangle:

2(l+b) .

Graph can plot using Desmos graphing calculator.

Calculation:

Both the graph has the same slope m=−1. the perimeter of the second rectangle is 10 unit less than of the first and the intercept of the second graph are 102=5. unit less than those of the first.

Hence, the perimeter of the second rectangle is 10 unit less than of the first and intercept of the second graph are 102=5. unit less than those of the first.

Chapter 3.5, Problem 42E

Chapter 3.5, Problem 44E

Chapter 3 Solutions

BIG IDEAS MATH Integrated Math 1: Student Edition 2016

Ch. 3.1 - Prob. 1E Ch. 3.1 - Prob. 2E Ch. 3.1 - Prob. 3E Ch. 3.1 - Prob. 4E Ch. 3.1 - Prob. 5E Ch. 3.1 - Prob. 6E Ch. 3.1 - Prob. 7E Ch. 3.1 - Prob. 8E Ch. 3.1 - Prob. 9E Ch. 3.1 - Prob. 10E

Ch. 3.1 - Prob. 11E Ch. 3.1 - Prob. 12E Ch. 3.1 - Prob. 13E Ch. 3.1 - Prob. 14E Ch. 3.1 - Prob. 15E Ch. 3.1 - Prob. 16E Ch. 3.1 - Prob. 17E Ch. 3.1 - Prob. 18E Ch. 3.1 - Prob. 19E Ch. 3.1 - Prob. 20E Ch. 3.1 - Prob. 21E Ch. 3.1 - Prob. 22E Ch. 3.1 - Prob. 23E Ch. 3.1 - Prob. 24E Ch. 3.1 - Prob. 25E Ch. 3.1 - Prob. 26E Ch. 3.1 - Prob. 27E Ch. 3.1 - Prob. 28E Ch. 3.1 - Prob. 29E Ch. 3.1 - Prob. 30E Ch. 3.1 - Prob. 31E Ch. 3.1 - Prob. 32E Ch. 3.1 - Prob. 33E Ch. 3.1 - Prob. 34E Ch. 3.1 - Prob. 35E Ch. 3.1 - Prob. 36E Ch. 3.1 - Prob. 37E Ch. 3.1 - Prob. 38E Ch. 3.1 - Prob. 39E Ch. 3.1 - Prob. 40E Ch. 3.1 - Prob. 41E Ch. 3.1 - Prob. 42E Ch. 3.1 - Prob. 43E Ch. 3.1 - Prob. 44E Ch. 3.1 - Prob. 45E Ch. 3.1 - Prob. 46E Ch. 3.1 - Prob. 47E Ch. 3.1 - Prob. 48E Ch. 3.1 - Prob. 49E Ch. 3.1 - Prob. 50E Ch. 3.1 - Prob. 51E Ch. 3.2 - Prob. 1E Ch. 3.2 - Prob. 2E Ch. 3.2 - Prob. 3E Ch. 3.2 - Prob. 4E Ch. 3.2 - Prob. 5E Ch. 3.2 - Prob. 6E Ch. 3.2 - Prob. 7E Ch. 3.2 - Prob. 8E Ch. 3.2 - Prob. 9E Ch. 3.2 - 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Prob. 21CR Ch. 3 - Prob. 22CR Ch. 3 - Prob. 23CR Ch. 3 - Prob. 24CR Ch. 3 - Prob. 25CR Ch. 3 - Prob. 26CR Ch. 3 - Prob. 27CR Ch. 3 - Prob. 28CR Ch. 3 - Prob. 1CT Ch. 3 - Prob. 2CT Ch. 3 - Prob. 3CT Ch. 3 - Prob. 4CT Ch. 3 - Prob. 5CT Ch. 3 - Prob. 6CT Ch. 3 - Prob. 7CT Ch. 3 - Prob. 8CT Ch. 3 - Prob. 9CT Ch. 3 - Prob. 10CT Ch. 3 - Prob. 11CT Ch. 3 - Prob. 12CT Ch. 3 - Prob. 13CT Ch. 3 - Prob. 14CT Ch. 3 - Prob. 15CT Ch. 3 - Prob. 16CT Ch. 3 - Prob. 1CA Ch. 3 - Prob. 2CA Ch. 3 - Prob. 3CA Ch. 3 - Prob. 4CA Ch. 3 - Prob. 5CA Ch. 3 - Prob. 6CA Ch. 3 - Prob. 7CA Ch. 3 - Prob. 8CA Ch. 3 - Prob. 9CA Ch. 3 - Prob. 10CA

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