Chapter 11: Q. 246 (page 1155)

In the following exercise, find the distance between the points. Round to the nearest tenth if needed:
$(8, 2)$ and $(- 7, - 3)$

Short Answer

Expert verified

15.8

Step by step solution

Step 1. Given information.

The coordinate of the two points are $(8, 2)$ and $(- 7, - 3)$ .

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 of the given points, the distance between the points $(8, 2)$ and $(- 7, - 3)$ will be

$d = \sqrt{{(8 - (- 7))}^{2} + {(2 - (- 3))}^{2}} d = \sqrt{15^{2} + 5^{2}} d = \sqrt{250} d = 15.811$

Rounding to the nearest tenth, the distance between the two points will be $d = 15.8$

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In the following exercise, find the distance between the points. Round to the nearest tenth if needed:
$(8, 2)$ and $(- 7, - 3)$

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Finding the distance between the two points.

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In the following exercise, find the distance between the points. Round to the nearest tenth if needed:8,2and-7,-3

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Finding the distance between the two points.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Pure Maths

Discrete Mathematics

Calculus

Probability and Statistics

Logic and Functions

Applied Mathematics

Study anywhere. Anytime. Across all devices.

In the following exercise, find the distance between the points. Round to the nearest tenth if needed:
$(8, 2)$ and $(- 7, - 3)$