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Chapter 11: Q. 10 (page 1082)

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

(鈭�1,鈭�2)and(鈭�3,4)

Short Answer

Expert verified

The exact distance is 40and the approximated distance is 6.3.

Step by step solution

01

Step 1. Given Information 

We are given points(鈭�1,鈭�2),(鈭�3,4).

The distance formula states that the distance between points x1,y1and x2,y2is,

d=x2-x12+y2-y12

02

Step 2. Applying the formula 

Consider the point (鈭�1,鈭�2)as x1,y1and (鈭�3,4)as x2,y2.

Substituting the values in the distance formula, we get

d=[-3-(-1)]2+[4-(-2)]2d=(-3+1)2+(4+2)2d=(-2)2+(6)2d=4+36d=40d鈮�6.3

The exact distance is 40 and the approximated distance is 6.3.

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