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Chapter 1: Q. 41 (page 15)

Find the distance d(P1,P2)between the points P1andP2.

P1=(4,-3);P2=(6,4)

Short Answer

Expert verified

The distance between the points is d=53.

Step by step solution

01

Step 1. Given information.

Find the distance between the points.

P1=(4,-3);P2=(6,4)

02

Step 2. Substitute the values in the formula.

The length of the line segment is the distance between the points P1=(x1,y1)=(4,-3)andP2=(x2,y2)=(6,4). Using the distance formula with x1=4,y1=-3,x2=6,andy2=4, the length d is

d=x2-x12+(y2-y2)2d=6-42+(4-(-3))2d=22+(7)2d=4+49d=53

03

Step 3. Conclusion.

The distance between the points is53.

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