Chapter 11: Q. 247 (page 1156)

In the following exercise, find the distance between the points. Round to the nearest tenth if needed:
$(1, - 4)$ and $(5, - 5)$

Short Answer

Expert verified

4.1

Step by step solution

Step 1. Given information.

The coordinate of the two points are $(1, - 4)$ and $(5, - 5)$ .

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 coordinate of the points, the distance between the two given points will be

$d = \sqrt{{(5 - 1)}^{2} + {(- 5 - (- 4))}^{2}} d = \sqrt{4^{2} + {(- 1)}^{2}} d = \sqrt{17} d = 4.123$

Rounding to the nearest tenth, the distance between the two points will be $d = 4.1$

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In the following exercise, find the distance between the points. Round to the nearest tenth if needed:
$(1, - 4)$ and $(5, - 5)$

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:1,-4and5,-5

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

Statistics

Geometry

Calculus

Pure Maths

Mechanics Maths

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:
$(1, - 4)$ and $(5, - 5)$