Chapter 11: Q. 11.3 (page 1072)

Use the Distance Formula to find the distance between the points $(- 4, - 5)$ and $(5, 7)$ .

Short Answer

Expert verified

The distance between the points is $15$ .

Step by step solution

Step 1. Definition

The distance between two points $(x_{1}, y_{1})$ and $(x_{2}, y_{2})$ is given by the distance formula aslocalid="1645177038811" $d = \sqrt{{(x_{2} - x_{1})}^{2} + {(y_{2} - y_{1})}^{2}}$ .

Step 2. Substitute the values in the formula

We need to find the distance between the points $(- 4, - 5)$ and $(5, 7)$ .

So in the distance formula substitute $- 4$ for $x_{1}$ , $- 5$ for $y_{1}$ , $5$ for $x_{2}$ , and $7$ for $y_{2}$ and simplify.

$d = \sqrt{{(x_{2} - x_{1})}^{2} + {(y_{2} - y_{1})}^{2}} d = \sqrt{(5 - {(- 4))}^{2} + (7 - {(- 5))}^{2}} d = \sqrt{9^{2} + 12^{2}} d = \sqrt{81 + 144} d = \sqrt{225} d = 15$

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Use the Distance Formula to find the distance between the points $(- 4, - 5)$ and $(5, 7)$ .

Short Answer

Step by step solution

Step 1. Definition

Step 2. Substitute the values in the formula

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Use the Distance Formula to find the distance between the points (-4,-5)and(5,7).

Short Answer

Step by step solution

Step 1. Definition

Step 2. Substitute the values in the formula

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Logic and Functions

Pure Maths

Discrete Mathematics

Mechanics Maths

Geometry

Calculus

Study anywhere. Anytime. Across all devices.

Use the Distance Formula to find the distance between the points $(- 4, - 5)$ and $(5, 7)$ .