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Q2

Expert-verified

Geometry

Found in: Page 15

Book edition Student Edition

Author(s) Ray C. Jurgensen, Richard G. Brown, John W. Jurgensen

Pages 227 pages

ISBN 9780395977279

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Short Answer

For the following coordinates of two points on a number line, state the distance between the points $- 3$ and $- 17$ .

The distance between the two points is 14.

See the step by step solution

Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1. Apply the absolute difference formula.

The Distance can be calculated by taking the absolute value of the difference of coordinates of points. The absolute difference of two real numbers x and y can be calculated by $|x - y|$ . It describes the distance on the real line between the points corresponding to x and y.

Step 2. Calculate the absolute difference.

Let $x = - 3$ and $y = - 17$ be the coordinates of two points $(- 3, - 17)$ .

Step 3. Step description.

Substitute $- 3$ for x and $- 17$ for y to determine the absolute value difference.

$distance = | x - y | = | - 3 - (- 17) | = | - 3 + 17 | = 14$

Hence, the distance between the two points is 14.

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