Precalculus Enhanced with Graphing Utilities

Sullivan

$Math Studyset 91影视 Explanations$ Math

6th Edition 路 1200 pages

ISBN: 9780321795465

Chapter 10: Q. 1 (page 653)

The distance $d$ from $P_{1} = (2, - 5)$ to $P_{2} = (4, - 2)$ is $d =________$ .

Short Answer

Expert verified

The distance $d$ from $P_{1} = (2, - 5) t o P_{2} = (4, - 2)$ isrole="math" localid="1646794105762" $d = 3.61 .$

Step by step solution

Step 1. Given Information

Given Points:

$P_{1} = (2, - 5) t o P_{2} = (4, - 2)$ .

We have to find the distance between two given points .

Step 2. Solution:

Using distance formula:

$d (P_{1}, P_{2}) = \sqrt{{(x_{2} - x_{1})}^{2} + {(y_{2} - y_{1})}^{2}} F o r D i s \tan c e P_{1} (x_{1}, y_{1}) t o P_{2} (x_{2}, y_{2})$

We have

$d (P_{1}, P_{2}) = \sqrt{{(4 - 2)}^{2} + (- 2 - {(- 5))}^{2}} d (P_{1}, P_{2}) = \sqrt{{(2)}^{2} + {(3)}^{2}} d (P_{1}, P_{2}) = \sqrt{4 + 9} d (P_{1}, P_{2}) = \sqrt{13} d (P_{1}, P_{2}) 鈮� 3.61$

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91影视

The distance $d$ from $P_{1} = (2, - 5)$ to $P_{2} = (4, - 2)$ is $d =________$ .

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Solution:

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91影视

The distance dfrom P1=(2,-5)to P2=(4,-2)is d=________.

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Solution:

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Decision Maths

Logic and Functions

Theoretical and Mathematical Physics

Statistics

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Mechanics Maths

Study anywhere. Anytime. Across all devices.

The distance $d$ from $P_{1} = (2, - 5)$ to $P_{2} = (4, - 2)$ is $d =________$ .