Question

use the distance formula to find the distance between $(-8,2.5)$ and $(0,-4.5)$.
$d = \sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}$

1. substitute coordinates: $d = \sqrt{(-8 - 0)^{2}+(2.5-(-4.5))^{2}}$
2. simplify parentheses: $d = \sqrt{(-8)^{2}+(7)^{2}}$
3. evaluate powers: $d = \sqrt{64 + 49}$
4. simplify.

what is the distance between $(-8,2.5)$ and $(0,-4.5)$? round to the nearest hundredth.
$d \approx$

Explanation:

Step1: Add numbers

$$d = \sqrt{64 + 49}=\sqrt{113}$$

Step2: Calculate the square root

Use a calculator to find the value of $\sqrt{113}$. $\sqrt{113}\approx10.63014581$

Answer:

$10.63$