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 8.6, Problem 50E

(a)

To determine

To find: The equations for $y1$ and $y2$ , and domain of each function.

(a)

Expert Solution

Answer to Problem 50E

The required equations are:

$⇒y1=90°−x⇒y2=180°−x$

The required domains are:

Domain of $y1$ is $(0,90)$ with $0 & 90$ excluded.

Domain of $y2$ is $(0,180)$ with $0 & 180$ excluded.

Explanation of Solution

Given information: The $∠3$ is the supplement of $∠1$ , and $∠2$ is the complement of $∠1$ . The following data is been given.

$⇒∠1=x°⇒∠2=y1°⇒∠3=y2°$

Calculation: Since $∠1=x° & ∠2=y1°$ and $∠2$ is the complement of $∠1$ .

$∴∠1+ ∠2=90°x+y1=90°y1=90°−x$

Domain of $y1$ is $(0,90)$ with $0 & 90$ excluded.

Similarly, $∠3=y2°$ and $∠3$ is the supplement of $∠1$ ,

$∴∠1+ ∠3=180°x+y2=180°y2=180°−x$

Domain of $y2$ is $(0,180)$ with $0 & 180$ excluded.

(b)

To determine

To graph: The each function.

(b)

Expert Solution

Answer to Problem 50E

The range of $y1$ and $y2$ are $(0,90)$ and $(0,180)$ , respectively.

Explanation of Solution

Given information: The $∠3$ is the supplement of $∠1$ , and $∠2$ is the complement of $∠1$ . The following data is been given.

$⇒∠1=x°⇒∠2=y1°⇒∠3=y2°$

Calculation: Since $∠1=x° & ∠2=y1°$ and $∠2$ is the complement of $∠1$ .

$∴∠1+ ∠2=90°x+y1=90°y1=90°−x$

Domain of $y1$ is $(0,90)$ with $0 & 90$ excluded.

Similarly, $∠3=y2°$ and $∠3$ is the supplement of $∠1$ ,

$∴∠1+ ∠3=180°x+y2=180°y2=180°−x$

Domain of $y2$ is $(0,180)$ with $0 & 180$ excluded.

The graph of $y1$ and $y2$ are plotted below.

BIG IDEAS MATH Integrated Math 1: Student Edition 2016, Chapter 8.6, Problem 50E

Chapter 8.6, Problem 49E

Chapter 8.6, Problem 51E

Chapter 8 Solutions

BIG IDEAS MATH Integrated Math 1: Student Edition 2016

Ch. 8.1 - Prob. 1E Ch. 8.1 - Prob. 2E Ch. 8.1 - Prob. 3E Ch. 8.1 - Prob. 4E Ch. 8.1 - Prob. 5E Ch. 8.1 - Prob. 6E Ch. 8.1 - Prob. 7E Ch. 8.1 - Prob. 8E Ch. 8.1 - Prob. 9E Ch. 8.1 - Prob. 10E

Ch. 8.1 - Prob. 11E Ch. 8.1 - Prob. 12E Ch. 8.1 - Prob. 13E Ch. 8.1 - Prob. 14E Ch. 8.1 - Prob. 15E Ch. 8.1 - Prob. 16E Ch. 8.1 - Prob. 17E Ch. 8.1 - Prob. 18E Ch. 8.1 - Prob. 19E Ch. 8.1 - Prob. 20E Ch. 8.1 - Prob. 21E Ch. 8.1 - Prob. 22E Ch. 8.1 - Prob. 23E Ch. 8.1 - Prob. 24E Ch. 8.1 - Prob. 25E Ch. 8.1 - Prob. 26E Ch. 8.1 - Prob. 27E Ch. 8.1 - Prob. 28E Ch. 8.1 - Prob. 29E Ch. 8.1 - Prob. 30E Ch. 8.1 - Prob. 31E Ch. 8.1 - Prob. 32E Ch. 8.1 - Prob. 33E Ch. 8.1 - Prob. 34E Ch. 8.1 - Prob. 35E Ch. 8.1 - Prob. 36E Ch. 8.1 - Prob. 37E Ch. 8.1 - Prob. 38E Ch. 8.1 - Prob. 39E Ch. 8.1 - Prob. 40E Ch. 8.1 - Prob. 41E Ch. 8.1 - Prob. 42E Ch. 8.1 - Prob. 43E Ch. 8.1 - Prob. 44E Ch. 8.1 - Prob. 45E Ch. 8.1 - Prob. 46E Ch. 8.1 - Prob. 47E Ch. 8.1 - Prob. 48E Ch. 8.1 - Prob. 49E Ch. 8.1 - Prob. 50E Ch. 8.1 - Prob. 51E Ch. 8.1 - Prob. 52E Ch. 8.1 - Prob. 53E Ch. 8.1 - Prob. 54E Ch. 8.1 - Prob. 55E Ch. 8.1 - Prob. 56E Ch. 8.1 - Prob. 57E Ch. 8.1 - Prob. 58E Ch. 8.1 - Prob. 59E Ch. 8.1 - Prob. 60E Ch. 8.1 - 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Prob. 46E Ch. 8.3 - Prob. 47E Ch. 8.3 - Prob. 48E Ch. 8.3 - Prob. 49E Ch. 8.3 - Prob. 50E Ch. 8.3 - Prob. 51E Ch. 8.3 - Prob. 52E Ch. 8.3 - Prob. 53E Ch. 8.3 - Prob. 1Q Ch. 8.3 - Prob. 2Q Ch. 8.3 - Prob. 3Q Ch. 8.3 - Prob. 4Q Ch. 8.3 - Prob. 5Q Ch. 8.3 - Prob. 6Q Ch. 8.3 - Prob. 7Q Ch. 8.3 - Prob. 8Q Ch. 8.3 - Prob. 9Q Ch. 8.3 - Prob. 10Q Ch. 8.3 - Prob. 11Q Ch. 8.3 - Prob. 12Q Ch. 8.3 - Prob. 13Q Ch. 8.3 - Prob. 14Q Ch. 8.3 - Prob. 15Q Ch. 8.3 - Prob. 16Q Ch. 8.3 - Prob. 17Q Ch. 8.3 - Prob. 18Q Ch. 8.3 - Prob. 19Q Ch. 8.3 - Prob. 20Q Ch. 8.3 - Prob. 21Q Ch. 8.4 - Prob. 1E Ch. 8.4 - Prob. 2E Ch. 8.4 - Prob. 3E Ch. 8.4 - Prob. 4E Ch. 8.4 - Prob. 5E Ch. 8.4 - Prob. 6E Ch. 8.4 - Prob. 7E Ch. 8.4 - Prob. 8E Ch. 8.4 - Prob. 9E Ch. 8.4 - Prob. 10E Ch. 8.4 - Prob. 11E Ch. 8.4 - Prob. 12E Ch. 8.4 - Prob. 13E Ch. 8.4 - Prob. 14E Ch. 8.4 - Prob. 15E Ch. 8.4 - Prob. 16E Ch. 8.4 - Prob. 17E Ch. 8.4 - Prob. 18E Ch. 8.4 - Prob. 19E Ch. 8.4 - Prob. 20E Ch. 8.4 - Prob. 21E Ch. 8.4 - Prob. 22E Ch. 8.4 - 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Prob. 10CR Ch. 8 - Prob. 11CR Ch. 8 - Prob. 12CR Ch. 8 - Prob. 13CR Ch. 8 - Prob. 14CR Ch. 8 - Prob. 15CR Ch. 8 - Prob. 16CR Ch. 8 - Prob. 17CR Ch. 8 - Prob. 18CR Ch. 8 - Prob. 19CR Ch. 8 - Prob. 20CR Ch. 8 - Prob. 21CR Ch. 8 - Prob. 22CR Ch. 8 - Prob. 1CT Ch. 8 - Prob. 2CT Ch. 8 - Prob. 3CT Ch. 8 - Prob. 4CT Ch. 8 - Prob. 5CT Ch. 8 - Prob. 6CT Ch. 8 - Prob. 7CT Ch. 8 - Prob. 8CT Ch. 8 - Prob. 9CT Ch. 8 - Prob. 10CT Ch. 8 - Prob. 11CT Ch. 8 - Prob. 12CT Ch. 8 - Prob. 13CT Ch. 8 - Prob. 14CT Ch. 8 - Prob. 15CT Ch. 8 - Prob. 16CT Ch. 8 - Prob. 1CA Ch. 8 - Prob. 2CA Ch. 8 - Prob. 3CA Ch. 8 - Prob. 4CA Ch. 8 - Prob. 5CA Ch. 8 - Prob. 6CA Ch. 8 - Prob. 7CA Ch. 8 - Prob. 8CA

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The equations for y 1 and y 2 , and domain of each function.

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To find: The equations for y1<m:math><m:mrow><m:msub><m:mi>y</m:mi><m:mn>1</m:mn></m:msub></m:mrow></m:math> and y2<m:math><m:mrow><m:msub><m:mi>y</m:mi><m:mn>2</m:mn></m:msub></m:mrow></m:math> , and domain of each function.

Answer to Problem 50E

Explanation of Solution

To graph: The each function.

Answer to Problem 50E

Explanation of Solution

Chapter 8 Solutions

To find: The equations for $y1$ and $y2$ , and domain of each function.