# What is the distance between (43,-13) and (47,-17)?

Nov 17, 2015

4$\sqrt{2}$

#### Explanation:

If d is the distance between two points (43, -13) and (47, -17)

We know $d$ = $\sqrt{{\left({x}_{2} - {x}_{1}\right)}^{2} + {\left({y}_{2} - {y}_{1}\right)}^{2}}$

= $\sqrt{{\left(47 - 43\right)}^{2} + {\left(- 17 - \left(- 13\right)\right)}^{2}}$

= $\sqrt{{\left(4\right)}^{2} + {\left(- 4\right)}^{2}}$

= $\sqrt{16 + 16}$

= $\sqrt{32}$

= $\sqrt{2 X {4}^{2}}$

= 4$\sqrt{2}$