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

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

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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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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

Probability and Statistics

Calculus

Mechanics Maths

Theoretical and Mathematical Physics

Applied Mathematics

Study anywhere. Anytime. Across all devices.

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