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Chapter 11: Q. 4 (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.

-7,-3and8,5

Short Answer

Expert verified

The distanced=17.

Step by step solution

01

Step 1.Given information

Consider the given points -7,-3and8,5.

The distance formula states that the distance d between points x1,y1andx2,y2 isd=x2-x12+y2-y12

02

Step 2.First lable the points.

x1,y1=-7,-3andx2,y2=8,5.

Now substitute x1,x2,y1andy2values in the distance formula.

d=8-(-72+5-(-32

03

Step 3.Now simplify the radical as shown as below

d=8+72+5+32=152+82=225+64=289=17

Therefore,the distance islocalid="1645194269623" d=17

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