Algebra: Structure And Method, Book 1

(REV)00 Edition

ISBN: 9780395977224

Author: Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Publisher: McDougal Littell

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Question

Chapter 8.4, Problem 44WE

To determine

To find: The navigator’s position.

Expert Solution & Answer

Answer to Problem 44WE

The position of navigator is $(54,−54)$ .

Explanation of Solution

Given information:

Two radio beacons are located at $(−1,0)$ and $(2,−1)$ .

The slope of line joining first and second radio beacon with navigator is -5 and 3 respectively.

Formula used:

Slope of line joining two points $(x1,y1)$ and $(x2,y2)$ is $y2−y1x2−x1$ .

Let the location of navigator be $(x,y)$

Slope of line joining radio beacon at $(−1,0)$ and navigator is -5.

Recall that Slope of line joining two points $(x1,y1)$ and $(x2,y2)$ is $y2−y1x2−x1$ .

Slope of line joining radio beacon at $(−1,0)$ and navigator will be:

$y−0x−(−1)=−5yx+1=−5y=−5(x+1)y=−5x+5........(1)$

Slope of line joining radio beacon at $(2,−1)$ and navigator is 3.

Recall that Slope of line joining two points $(x1,y1)$ and $(x2,y2)$ is $y2−y1x2−x1$ .

Slope of line joining radio beacon at $(2,−1)$ and navigator will be:

$y−(−1)x−2=3y+1x−2=3y+1=3(x−2)y+1=3x−6$

$y=3x−5.....(2)$

Putting value of y from equation 1 to equation 2,

$−5x+5=3x−55+5=3x+5x10=8xx=54$

Putting value of x in equation 2,

$y=3(54)−5y=154−5y=15−204y=−54$

The position of navigator is $(54,−54)$ .

Chapter 8.4, Problem 43WE

Chapter 8.4, Problem 45WE

Chapter 8 Solutions

Algebra: Structure And Method, Book 1

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

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Prob. 18OE Ch. 8.10 - Prob. 1WE Ch. 8.10 - Prob. 2WE Ch. 8.10 - Prob. 3WE Ch. 8.10 - Prob. 4WE Ch. 8.10 - Prob. 5WE Ch. 8.10 - Prob. 6WE Ch. 8.10 - Prob. 7WE Ch. 8.10 - Prob. 8WE Ch. 8.10 - Prob. 9WE Ch. 8.10 - Prob. 10WE Ch. 8.10 - Prob. 11WE Ch. 8.10 - Prob. 12WE Ch. 8.10 - Prob. 13WE Ch. 8.10 - Prob. 14WE Ch. 8.10 - Prob. 15WE Ch. 8.10 - Prob. 16WE Ch. 8.10 - Prob. 17WE Ch. 8.10 - Prob. 18WE Ch. 8.10 - Prob. 19WE Ch. 8.10 - Prob. 20WE Ch. 8.10 - Prob. 1P Ch. 8.10 - Prob. 2P Ch. 8.10 - Prob. 3P Ch. 8.10 - Prob. 4P Ch. 8.10 - Prob. 5P Ch. 8.10 - Prob. 6P Ch. 8.10 - Prob. 7P Ch. 8.10 - Prob. 8P Ch. 8.10 - Prob. 9P Ch. 8.10 - Prob. 10P Ch. 8.10 - Prob. 11P Ch. 8.10 - Prob. 12P Ch. 8.10 - Prob. 13P Ch. 8.10 - Prob. 14P Ch. 8.10 - Prob. 15P Ch. 8.10 - Prob. 16P Ch. 8.10 - Prob. 17P Ch. 8.10 - Prob. 18P Ch. 8.10 - Prob. 1MRE Ch. 8.10 - Prob. 2MRE Ch. 8.10 - Prob. 3MRE Ch. 8.10 - Prob. 4MRE Ch. 8.10 - Prob. 5MRE Ch. 8.10 - Prob. 6MRE Ch. 8.10 - Prob. 7MRE Ch. 8.10 - Prob. 1CE Ch. 8.10 - Prob. 2CE Ch. 8.10 - Prob. 3CE Ch. 8.10 - Prob. 4CE Ch. 8.10 - Prob. 1ST Ch. 8.10 - Prob. 2ST Ch. 8.10 - Prob. 3ST Ch. 8.10 - Prob. 4ST Ch. 8.10 - Prob. 5ST Ch. 8.10 - Prob. 6ST Ch. 8.10 - Prob. 1E Ch. 8.10 - Prob. 2E Ch. 8.10 - Prob. 3E Ch. 8.10 - Prob. 4E Ch. 8.10 - Prob. 5E Ch. 8.10 - Prob. 6E Ch. 8.10 - Prob. 7E Ch. 8.10 - Prob. 8E Ch. 8 - Prob. 1CR Ch. 8 - Prob. 2CR Ch. 8 - Prob. 3CR Ch. 8 - Prob. 4CR Ch. 8 - Prob. 5CR Ch. 8 - Prob. 6CR Ch. 8 - Prob. 7CR Ch. 8 - Prob. 8CR Ch. 8 - Prob. 9CR Ch. 8 - 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. 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. 17CT Ch. 8 - Prob. 18CT Ch. 8 - Prob. 19CT Ch. 8 - Prob. 20CT Ch. 8 - Prob. 21CT Ch. 8 - Prob. 22CT Ch. 8 - Prob. 23CT Ch. 8 - Prob. 24CT Ch. 8 - Prob. 25CT Ch. 8 - Prob. 26CT Ch. 8 - Prob. 27CT Ch. 8 - Prob. 28CT Ch. 8 - Prob. 29CT Ch. 8 - Prob. 30CT Ch. 8 - Prob. 31CT Ch. 8 - Prob. 32CT Ch. 8 - Prob. 33CT Ch. 8 - Prob. 34CT Ch. 8 - Prob. 35CT Ch. 8 - Prob. 36CT Ch. 8 - Prob. 37CT Ch. 8 - Prob. 38CT Ch. 8 - Prob. 39CT Ch. 8 - Prob. 40CT Ch. 8 - Prob. 41CT Ch. 8 - Prob. 42CT Ch. 8 - Prob. 43CT Ch. 8 - Prob. 1CLR Ch. 8 - Prob. 2CLR Ch. 8 - Prob. 3CLR Ch. 8 - Prob. 4CLR Ch. 8 - Prob. 5CLR Ch. 8 - Prob. 6CLR Ch. 8 - Prob. 7CLR Ch. 8 - Prob. 8CLR Ch. 8 - Prob. 9CLR Ch. 8 - Prob. 10CLR Ch. 8 - Prob. 11CLR Ch. 8 - Prob. 12CLR Ch. 8 - Prob. 13CLR Ch. 8 - Prob. 14CLR Ch. 8 - Prob. 15CLR Ch. 8 - Prob. 16CLR Ch. 8 - Prob. 17CLR Ch. 8 - Prob. 18CLR Ch. 8 - Prob. 19CLR Ch. 8 - Prob. 20CLR Ch. 8 - Prob. 21CLR Ch. 8 - Prob. 22CLR Ch. 8 - Prob. 23CLR Ch. 8 - Prob. 24CLR Ch. 8 - Prob. 25CLR Ch. 8 - Prob. 26CLR Ch. 8 - Prob. 27CLR Ch. 8 - Prob. 28CLR Ch. 8 - Prob. 29CLR Ch. 8 - Prob. 30CLR Ch. 8 - Prob. 31CLR Ch. 8 - Prob. 32CLR Ch. 8 - Prob. 33CLR Ch. 8 - Prob. 34CLR Ch. 8 - Prob. 1MS Ch. 8 - Prob. 2MS Ch. 8 - Prob. 3MS Ch. 8 - Prob. 4MS Ch. 8 - Prob. 5MS Ch. 8 - Prob. 6MS Ch. 8 - Prob. 7MS Ch. 8 - Prob. 8MS Ch. 8 - Prob. 9MS Ch. 8 - Prob. 10MS Ch. 8 - Prob. 11MS Ch. 8 - Prob. 12MS Ch. 8 - Prob. 13MS Ch. 8 - Prob. 14MS Ch. 8 - Prob. 15MS Ch. 8 - Prob. 16MS Ch. 8 - Prob. 17MS Ch. 8 - Prob. 18MS Ch. 8 - Prob. 19MS Ch. 8 - Prob. 20MS Ch. 8 - Prob. 21MS Ch. 8 - Prob. 22MS Ch. 8 - Prob. 23MS Ch. 8 - Prob. 24MS Ch. 8 - Prob. 25MS Ch. 8 - Prob. 26MS Ch. 8 - Prob. 27MS Ch. 8 - Prob. 28MS Ch. 8 - Prob. 29MS Ch. 8 - Prob. 30MS Ch. 8 - Prob. 31MS Ch. 8 - Prob. 32MS Ch. 8 - Prob. 33MS Ch. 8 - Prob. 34MS Ch. 8 - Prob. 35MS Ch. 8 - Prob. 36MS Ch. 8 - Prob. 37MS Ch. 8 - Prob. 38MS Ch. 8 - Prob. 39MS

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