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Chapter 1: Q. 43 (page 15)

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

P1=(a,b);P2=(0,0)

Short Answer

Expert verified

The distance between the points isd=a2+b2.

Step by step solution

01

Step 1. Given information.

Find the distance between the points.

P1=(a,b);P2=(0,0)

02

Step 2. Substitute the values in the formula.

The length of the line segment is the distance between the points P1=(x1,y1)=(a,b)andP2=(x2,y2)=(0,0). Using the distance formula with x1=a,y1=b,x2=0,andy2=0the length d is

d=x2-x12+(y2-y2)2d=0-a2+(0-b)2d=a2+b2

03

Step 3. Conclusion. 

The distance between the points isa2+b2.

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Most popular questions from this chapter

The accepted symbol used to denote the slope of a line is the letter m. Investigate the origin of this symbolism. Begin by consulting a French dictionary and looking up the French word Monter. Write a brief essay on your findings.

In Problem 17-36, solve each equation algebraically. Verify your solution using a graphing utility.

5y+4y=3

Determine the coordinates of the points shown. Tell in which quadrant each point lies. Assume the coordinates are integers.

Graph the line containing the point P and having slope m.

P(2,1),m=4

Find the length of the line segment. Assume that the endpoints of each line segment have integer coordinates.
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