(REV)00 Edition

ISBN: 9780395977224

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

Publisher: McDougal Littell

Concept explainers

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on …

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Question

Chapter 1.8, Problem 57WE

To determine

To find: the coordinate of a point located between two given points on a number line.

Expert Solution & Answer

Answer to Problem 57WE

The coordinate of the point between M and T with the given condition is 3

Explanation of Solution

Given Information: Point M and T are located on the number line with coordinates 2 and 5 respectively. An unknown point is located between M and T such that its distance from M is half its distance from T .

A number line is used to graphically represent numbers along a line. It consists of 0 as the center point. The positive numbers are marked to the right and negative numbers are marked to the left side of the center point.

The given points are M and T which are located at 2 and 5 respectively. The number line and the given numbers marked on it are as shown below.

Algebra: Structure And Method, Book 1, Chapter 1.8, Problem 57WE , additional homework tip 1

1. Let the distance between the point M and the unknown point X be x.

2. Then the distance between the unknown point and the point T is 2x.

3. Also, the sum of the distance x and 2 x forms the distance between the points M and T. The distance between M and T is 3 units.

Thus, the distance between M and T can be represented as,

x+2x=3x=1

The above value of x implies that, the unknown point X is located at a distance of 1 unit from point M and two units from point T. Thus the coordinate of X is at 3. This is shown in Figure 2.

Algebra: Structure And Method, Book 1, Chapter 1.8, Problem 57WE , additional homework tip 2

Chapter 1.8, Problem 56WE

Chapter 1.8, Problem 58WE

Chapter 1 Solutions

Algebra: Structure And Method, Book 1

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

Ch. 1.1 - Prob. 11OE Ch. 1.1 - Prob. 12OE Ch. 1.1 - Prob. 13OE Ch. 1.1 - Prob. 14OE Ch. 1.1 - Prob. 15OE Ch. 1.1 - Prob. 16OE Ch. 1.1 - Prob. 17OE Ch. 1.1 - Prob. 18OE Ch. 1.1 - Prob. 19OE Ch. 1.1 - Prob. 20OE Ch. 1.1 - Prob. 21OE Ch. 1.1 - Prob. 22OE Ch. 1.1 - Prob. 23OE Ch. 1.1 - Prob. 24OE Ch. 1.1 - Prob. 25OE Ch. 1.1 - Prob. 26OE Ch. 1.1 - Prob. 1WE Ch. 1.1 - Prob. 2WE Ch. 1.1 - Prob. 3WE Ch. 1.1 - Prob. 4WE Ch. 1.1 - Prob. 5WE Ch. 1.1 - Prob. 6WE Ch. 1.1 - Prob. 7WE Ch. 1.1 - Prob. 8WE Ch. 1.1 - Prob. 9WE Ch. 1.1 - Prob. 10WE Ch. 1.1 - Prob. 11WE Ch. 1.1 - Prob. 12WE Ch. 1.1 - Prob. 13WE Ch. 1.1 - Prob. 14WE Ch. 1.1 - Prob. 15WE Ch. 1.1 - Prob. 16WE Ch. 1.1 - Prob. 17WE Ch. 1.1 - Prob. 18WE Ch. 1.1 - Prob. 19WE Ch. 1.1 - Prob. 20WE Ch. 1.1 - Prob. 21WE Ch. 1.1 - Prob. 22WE Ch. 1.1 - Prob. 23WE Ch. 1.1 - Prob. 24WE Ch. 1.1 - Prob. 25WE Ch. 1.1 - Prob. 26WE Ch. 1.1 - Prob. 27WE Ch. 1.1 - Prob. 28WE Ch. 1.1 - Prob. 29WE Ch. 1.1 - Prob. 30WE Ch. 1.1 - Prob. 31WE Ch. 1.1 - Prob. 32WE Ch. 1.1 - 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Prob. 5WE Ch. 1.5 - Prob. 6WE Ch. 1.5 - Prob. 7WE Ch. 1.5 - Prob. 8WE Ch. 1.5 - Prob. 9WE Ch. 1.5 - Prob. 10WE Ch. 1.5 - Prob. 11WE Ch. 1.5 - Prob. 12WE Ch. 1.5 - Prob. 13WE Ch. 1.5 - Prob. 14WE Ch. 1.5 - Prob. 15WE Ch. 1.5 - Prob. 16WE Ch. 1.5 - Prob. 17WE Ch. 1.5 - Prob. 18WE Ch. 1.5 - Prob. 19WE Ch. 1.5 - Prob. 20WE Ch. 1.5 - Prob. 21WE Ch. 1.5 - Prob. 22WE Ch. 1.5 - Prob. 23WE Ch. 1.5 - Prob. 24WE Ch. 1.5 - Prob. 25WE Ch. 1.5 - Prob. 26WE Ch. 1.5 - Prob. 27WE Ch. 1.5 - Prob. 28WE Ch. 1.5 - Prob. 29WE Ch. 1.5 - Prob. 30WE Ch. 1.5 - Prob. 31WE Ch. 1.5 - Prob. 32WE Ch. 1.5 - Prob. 33WE Ch. 1.5 - Prob. 34WE Ch. 1.5 - Prob. 35WE Ch. 1.5 - Prob. 36WE Ch. 1.5 - Prob. 1MRE Ch. 1.5 - Prob. 2MRE Ch. 1.5 - Prob. 3MRE Ch. 1.5 - Prob. 4MRE Ch. 1.5 - Prob. 5MRE Ch. 1.5 - Prob. 6MRE Ch. 1.5 - Prob. 7MRE Ch. 1.5 - Prob. 8MRE Ch. 1.5 - Prob. 9MRE Ch. 1.5 - Prob. 10MRE Ch. 1.5 - Prob. 11MRE Ch. 1.5 - Prob. 12MRE Ch. 1.6 - Prob. 1P Ch. 1.6 - Prob. 2P Ch. 1.6 - Prob. 3P Ch. 1.6 - Prob. 4P Ch. 1.6 - Prob. 5P Ch. 1.6 - Prob. 6P Ch. 1.6 - Prob. 7P Ch. 1.6 - Prob. 8P Ch. 1.6 - Prob. 9P Ch. 1.6 - Prob. 10P Ch. 1.6 - Prob. 11P Ch. 1.6 - Prob. 12P Ch. 1.6 - Prob. 13P Ch. 1.6 - Prob. 14P Ch. 1.6 - Prob. 15P Ch. 1.6 - Prob. 16P Ch. 1.6 - Prob. 17P Ch. 1.6 - Prob. 18P Ch. 1.6 - Prob. 19P Ch. 1.6 - Prob. 20P Ch. 1.6 - Prob. 21P Ch. 1.6 - Prob. 22P Ch. 1.6 - Prob. 1MRE Ch. 1.6 - Prob. 2MRE Ch. 1.6 - Prob. 3MRE Ch. 1.6 - Prob. 4MRE Ch. 1.6 - Prob. 5MRE Ch. 1.6 - Prob. 6MRE Ch. 1.6 - Prob. 7MRE Ch. 1.6 - Prob. 8MRE Ch. 1.6 - Prob. 9MRE Ch. 1.6 - Prob. 10MRE Ch. 1.6 - Prob. 11MRE Ch. 1.6 - Prob. 12MRE Ch. 1.6 - Prob. 1E Ch. 1.6 - Prob. 2E Ch. 1.6 - Prob. 3E Ch. 1.7 - Prob. 1P Ch. 1.7 - Prob. 2P Ch. 1.7 - Prob. 3P Ch. 1.7 - Prob. 4P Ch. 1.7 - Prob. 5P Ch. 1.7 - Prob. 6P Ch. 1.7 - Prob. 7P Ch. 1.7 - Prob. 8P Ch. 1.7 - Prob. 9P Ch. 1.7 - Prob. 10P Ch. 1.7 - Prob. 11P Ch. 1.7 - Prob. 12P Ch. 1.7 - Prob. 13P Ch. 1.7 - Prob. 14P Ch. 1.7 - Prob. 15P Ch. 1.7 - Prob. 16P Ch. 1.7 - Prob. 17P Ch. 1.7 - Prob. 18P Ch. 1.7 - Prob. 1MRE Ch. 1.7 - 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