Question

find the distance between the two points rounding to the nearest tenth (if necessary). (0, -9) and (-4, -3)

Explanation:

Step1: Identify the distance formula

The distance formula between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$. Here, $x_1 = 0,y_1=-9,x_2=-4,y_2 = - 3$.

Step2: Substitute the values

Substitute the values into the formula:
\[

$$\begin{align*} d&=\sqrt{(-4 - 0)^2+(-3-(-9))^2}\\ &=\sqrt{(-4)^2+( - 3 + 9)^2}\\ &=\sqrt{16+(6)^2}\\ &=\sqrt{16 + 36}\\ &=\sqrt{52} \end{align*}$$

\]

Step3: Simplify and round

$\sqrt{52}\approx7.2$.

Answer:

$7.2$