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Chapter 11: Q. 3 (page 1082)

In the following ecercises,find the distance between the points.Write the answer in exact form and the find the decimal approximation,rounded the nearest tenth if needed.

-4,-3and8,2

Short Answer

Expert verified

The distance isd=13

Step by step solution

01

step 1.Given information

Consider the given points (-4,-3)and(8,2).

The distance formula states that the distance d between points x1,y1and x2,y2isd=x2-x12+y2-y12.

02

Step 3.First lable the points 

x1,y1=-4,-3andx2,y2=8,2

Now substitute x1,y1,x2andy2values in the distance formula.

d=8--42+2--32

03

Step 3.Now simplify the radical as shown as below

d=8+42+2+32=122+52=144+25=169=13

Therefore,the distance isd=13

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