Question

what is the distance between points (4,0) and (0,3)1 unit 5 unit7 unit25 unit

Answer 1

We want to find the distance between the points:

$(4,0)\text{ and }(0,3)$

For doing so, we remember the formula of the distance between two points:

$d(P,P^{\prime})=\sqrt[]{(x_1-x_2)^2+(y_1-y_2)^2}$

Where P(x₁,y₁) and P'(x₂,y₂). Applying the formula we get:

$\begin{gathered} d=\sqrt[]{(4-0)^2+(0-3)^2} \\ =\sqrt[]{4^2+3^2} \\ =\sqrt[]{16+9} \\ =\sqrt[]{25} \\ =5 \end{gathered}$

This means that the distance between the points (4, 0) and (0, 3) is 5 units.