Find the Distance Between Two Points What is the distance between the points (0,0) and (0.4,0.3) ?

What is the distance between the points $(0, 0)$ and $(0.4, 0.3)$ ?

Use the distance formula to determine the distance between the two points.

$Distance = \sqrt{{(x_{2} - x_{1})}^{2} + {(y_{2} - y_{1})}^{2}}$

Substitute the actual values of the points into the distance formula.

$\sqrt{{(0.4 - 0)}^{2} + {(0.3 - 0)}^{2}}$

Simplify.

Subtract $0$ from $0.4$ .

$\sqrt{{0.4}^{2} + {(0.3 - 0)}^{2}}$

Raise $0.4$ to the power of $2$ .

$\sqrt{0.16 + {(0.3 - 0)}^{2}}$

Subtract $0$ from $0.3$ .

$\sqrt{0.16 + {0.3}^{2}}$

Raise $0.3$ to the power of $2$ .

$\sqrt{0.16 + 0.09}$

Add $0.16$ and $0.09$ .

$\sqrt{0.25}$

Rewrite $0.25$ as ${0.5}^{2}$ .

$\sqrt{{0.5}^{2}}$

Pull terms out from under the radical, assuming positive real numbers.

$0.5$