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Chapter 10: Q...1 (page 667)

The distance dfrom P1=(3,-4)to P2=(-2,1)is d=___________

Short Answer

Expert verified

The distance between the points P1=(3,-4)and P2=(-2,1)is 52.

Step by step solution

01

Step 1. Given Informmation

The given two points are P1=(3,-4)and P2=(-2,1).

02

Step 2. Aim of the problem

Here, we need to find the distance between the points P1=(3,-4)and P2=(-2,1)

03

Step 3. Concept

The formula to find the distance between the points P1=(x1,y1)and P2=(x2,y2)is:

d=(x2-x1)2+(y2-y1)2

04

Step 4. Finding the distance between the points using the distance formula

The distance between the points P1=(3,-4)and P2=(-2,1)is,

localid="1647084625539" d=(x2-x1)2+(y2-y1)2d=(-2-3)2+(1-(-4))2d=(-5)2+(5)2d=25+25d=50d=25脳2d=52

Therefore, the distance between the two given points is52.

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