Chapter P.2, Problem 11E

Solution

The distance between given two points.

19.9

Given information:

Given points are $-9.3,\text{ and }10.6$ .

Formula used:

1. The distance between two pints, x, and y is given by: $\left|y-x\right|$
2. For any x :

  $\left|x\right|=\left\{\begin{array}{l}x\text{ if }x\text{ is positive}\\ -x\text{ if }x\text{ is negative}\end{array}\right.$

Calculation:

To calculate the distance between $-9.3,\text{ and }10.6$ , find the absolute difference as:

  $\begin{array}{c}\left|10.6-\left(-9.3\right)\right|=\left|10.6+9.3\right|\\ =\left|19.9\right|\end{array}$

Since, 19.9 is positive, then

  $\left|19.9\right|=19.9$

Thus,

  $\left|10.6-\left(-9.3\right)\right|=19.9$

Thus, the distance between the given two points is 19.9.