Chapter 1.3, Problem 5CYU

To determine

To find the distance.

Answer to Problem 5CYU

Distance between points is $\sqrt{58}$ .

Explanation of Solution

Given information:

  $C(9,0)$ and $B(2,-3)$

Formula used:

Distance between pair of points= $\sqrt{{(x_2^{}-x_1^{})}^2+{(y_2^{}-y_1^{})}^2}$

Calculation:

Let

  $x_1^{}=9,x_2^{}=2$ and,

  $y_1^{}=0,y_2^{}=-3$

Substituting values,

  $BC=$$\sqrt{{(2-9)}^2+{(-3-0)}^2}$

Solving,

  $BC=\sqrt{{(-7)}^2+(-3^2})$

So,

  $BC=$$\sqrt{49+9}$

And $BC=\sqrt{58}$

Hence, distance between points is $\sqrt{58}$ .