# What is the distance between (-4,-3,4) and (-5,5,-6)?

Jan 3, 2016

$\sqrt{165}$ or $12.845$ units

#### Explanation:

You can use the distance formula to find out the distance between 2 points in space.

Distance, $D = \sqrt{{\left({x}_{2} - {x}_{1}\right)}^{2} + {\left({y}_{2} - {y}_{1}\right)}^{2} + {\left({z}_{2} - {z}_{1}\right)}^{2}}$

Substituting the given values, we have,

$D = \sqrt{{\left(- 5 - \left(- 4\right)\right)}^{2} + {\left(5 - \left(- 3\right)\right)}^{2} + {\left(- 6 - 4\right)}^{2}}$

$D = \sqrt{{\left(- 5 + 4\right)}^{2} + {\left(5 + 3\right)}^{2} + {\left(- 10\right)}^{2}}$

$D = \sqrt{1 + 64 + 100}$

$D = \sqrt{165}$ or $D = 12.845 u n i t s$