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Intermediate Algebra

OPENSTAX

$Math Studyset 91影视 Explanations$ Math

OER 2017 Edition 路 1346 pages

ISBN: 9780998625720

Chapter 11: Q. 245 (page 1155)

In the following exercise, find the distance between the points. Round to the nearest tenth if needed:
$(- 2, 5)$ and $(1, 5)$

Short Answer

Expert verified

3

Step by step solution

01

Step 1. Given information.

The coordinate of the two points are: $(- 2, 5)$ and $(1, 5)$ .

02

Step 2. Finding the distance between the two points.

The distance between the points $(x_{1}, y_{1})$ and $(x_{2}, y_{2})$ can be expressed as

$d = \sqrt{{(x_{2} - x_{1})}^{2} + {(y_{2} - y_{1})}^{2}}$

Substituting the values, the distance between the two given points becomes

$d = \sqrt{{(1 - (- 2))}^{2} + {(5 - 5)}^{2}} d = \sqrt{3^{2} + 0^{2}} d = 3$

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