Question

find the distance between the two points rounding to the nearest tenth (if necessary). (-4,2) and (3,5)

Explanation:

Step1: Identify distance formula

The distance formula between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$.
Here, $x_1=-4,y_1 = 2,x_2=3,y_2 = 5$.

Step2: Substitute values

$d=\sqrt{(3-(-4))^2+(5 - 2)^2}=\sqrt{(3 + 4)^2+(3)^2}=\sqrt{(7)^2+9}=\sqrt{49 + 9}=\sqrt{58}$.

Step3: Calculate and round

$\sqrt{58}\approx7.6$.

Answer:

$7.6$