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Chapter 11: Q. 2 (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,-3and2,5.

Short Answer

Expert verified

The distance isd=10

Step by step solution

01

Step 1.Given information

Consider the given points (-4,-3)and (2,5)

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

02

Step 2.First lable the points.

x1,y1=-4,-3and x2,y2=2,5.

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

d=2-(-42+5-(-32

03

Step 3.Now simplify the radical as shown as below

d=2+42+5+32=62+82=36+64=100=10

Therefore,the distanced=10

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