(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 58WE

To determine

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

Expert Solution & Answer

Answer to Problem 58WE

The coordinate of the point between C and D with the given condition is 2

Explanation of Solution

Given Information: Point C and D are located on the number line with coordinates -2 and 4 respectively. An unknown point is located between C and D such that its distance from C is twice its distance from D

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 C and D which are located at - 2 and 4 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 58WE , additional homework tip 1

1. Let the distance between the point D and the unknown point be x.

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

3. Also, the sum of the distance x and 2 x forms the distance between the points C and D. The distance between C and D has to be calculated considering the magnitude only. Here, it is the sum of 2 units corresponding to distance from point C to origin and then 4 units corresponding to distance between origin and point D..

Thus, the distance between C and D can be represented as,

2x+x=2+4x=2

The above value of x implies that, the unknown point is located at a distance of 2 units from point D towards C and 4 units from point D towards C. Thus the coordinate of the desired point is at 2. This is shown in Figure 2.

Algebra: Structure And Method, Book 1, Chapter 1.8, Problem 58WE , additional homework tip 2

Chapter 1.8, Problem 57WE

Chapter 1.8, Problem 1MRE

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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