Question

question find the distance between the two points rounding to the nearest tenth (if necessary). (-3, -5) and (5, 0)

Explanation:

Step1: Identify distance formula

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

Step2: Substitute the values

Here, $x_1=-3,y_1 = - 5,x_2=5,y_2 = 0$. So $d=\sqrt{(5-(-3))^2+(0 - (-5))^2}=\sqrt{(5 + 3)^2+(0 + 5)^2}=\sqrt{8^2+5^2}$.

Step3: Calculate the squares and sum

$\sqrt{8^2+5^2}=\sqrt{64 + 25}=\sqrt{89}$.

Step4: Round to nearest tenth

$\sqrt{89}\approx9.4$.

Answer:

$9.4$