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Chapter 11: Q. 7 (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.

(1,-4)and(6,8)

Short Answer

Expert verified

The distance is 13.

Step by step solution

01

Step 1. Given Information

We are given points (1,-4),(6,8).

The distance formula states that the distance between points x1,y1 and x2,y2is,

d=x2-x12+y2-y12

02

Step 2. Applying the formula

Consider the point (1,-4)as x1,y1and (6,8)as x2,y2.

Substituting the values in the distance formula, we get

d=(6-1)2+[8-(-4)]2d=(5)2+[8+4]2d=(5)2+(12)2d=25+144d=169d=13

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