Find the Distance Between Two Points (-0.5,-0.6) , (-0.2,0.4)

$(- 0.5, - 0.6)$ , $(- 0.2, 0.4)$

Step 1

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

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

Step 2

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

$\sqrt{{((- 0.2) - (- 0.5))}^{2} + {(0.4 - (- 0.6))}^{2}}$

Step 3

Simplify.

Multiply $- 1$ by $- 0.5$ .

$\sqrt{{(- 0.2 + 0.5)}^{2} + {(0.4 - (- 0.6))}^{2}}$

Add $- 0.2$ and $0.5$ .

$\sqrt{{0.3}^{2} + {(0.4 - (- 0.6))}^{2}}$

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

$\sqrt{0.09 + {(0.4 - (- 0.6))}^{2}}$

Multiply $- 1$ by $- 0.6$ .

$\sqrt{0.09 + {(0.4 + 0.6)}^{2}}$

Add $0.4$ and $0.6$ .

$\sqrt{0.09 + 1^{2}}$

One to any power is one.

$\sqrt{0.09 + 1}$

Add $0.09$ and $1$ .

$\sqrt{1.09}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\sqrt{1.09}$

Decimal Form:

$1.04403065 \dots$

Step 5