# What is the distance between (4.9, 2.9) and (-3.0, 4.9)?

Apr 29, 2018

$\sqrt{66.41}$ or $\approx 8.15$

#### Explanation:

The distance between two points is shown by the formula:
$d = \sqrt{{\left({x}_{2} - {x}_{1}\right)}^{2} + {\left({y}_{2} - {y}_{1}\right)}^{2}}$

We have the values for the two coordinates, so we can substitute them into the distance formula:
$d = \sqrt{{\left(4.9 - 2.9\right)}^{2} + {\left(- 3.0 - 4.9\right)}^{2}}$

And now we simplify:
$d = \sqrt{{\left(2\right)}^{2} + {\left(- 7.9\right)}^{2}}$

$d = \sqrt{4 + 62.41}$

$d = \sqrt{66.41}$

If you want the exact distance, you can leave it as $\sqrt{66.41}$, but if you want it in decimal form, it is $\approx 8.15$ (rounded to nearest hundredth's place).

Hope this helps!