Question

16 numeric 1 point find the distance using the graph above rounded to the nearest hundredth answer

Explanation:

Step1: Identify the coordinates

Let the two - point be $(-5,0)$ and $(0,4)$. 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, $x_1=-5,y_1 = 0,x_2 = 0,y_2=4$.

Step2: Substitute into the formula

$d=\sqrt{(0-(-5))^2+(4 - 0)^2}=\sqrt{(5)^2+(4)^2}=\sqrt{25 + 16}=\sqrt{41}$.

Step3: Calculate and round

$\sqrt{41}\approx6.40$.

Answer:

$6.40$