Chapter 11.1, Problem 49SR

To determine

To find: The distance between two points.

Answer to Problem 49SR

The distance between two points is $8.38$ .

Explanation of Solution

Given Information:

The given points are $\left(2.3,-1.2\right)$ and $\left(-4.5,3.7\right)$ .

Concept used:

The distance between two points is calculated as,

  $d=\sqrt{{\left(x_2-x_1\right)}^2+{\left(y_2-y_1\right)}^2}$

The distance between two points is calculated as,

  $\begin{array}{c}d=\sqrt{{\left(x_2-x_1\right)}^2+{\left(y_2-y_1\right)}^2}\\ =\sqrt{{\left(-4.5-2.3\right)}^2+{\left(3.7-\left(-1.2\right)\right)}^2}\\ =\sqrt{{\left(-6.8\right)}^2+{\left(4.9\right)}^2}\\ =8.38\end{array}$

Thus, the distance between two points is $8.38$ .