Question

what is the distance between the points shown on the coordinate plane below? provide an answer accurate to the nearest tenth.

Explanation:

Step1: Identify the coordinates

The first - point seems to be at $(0,3)$ and the second - point at $(4,2)$.

Step2: Apply 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, $x_1 = 0,y_1 = 3,x_2 = 4,y_2 = 2$. So $d=\sqrt{(4 - 0)^2+(2 - 3)^2}=\sqrt{4^2+( - 1)^2}=\sqrt{16 + 1}=\sqrt{17}$.

Step3: Calculate the value

$\sqrt{17}\approx4.1$.

Answer:

$4.1$