Distance between (-5,3,9) and (-1,-4,1)?

Distance between (-5,3,9) and (-1,-4,1)?
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pelvogp
The formula for the distance for 3-dimensional coordinates is similar or 2-dimensional; it is: $d=\sqrt{{\left({x}_{2}-{x}_{1}\right)}^{2}+{\left({y}_{2}-{y}_{1}\right)}^{2}+{\left({z}_{2}-{z}_{1}\right)}^{2}}$
We have the two coordinates, so we can plug in the values for x, y, and z:
$d=\sqrt{{\left(-1-\left(-5\right)\right)}^{2}+{\left(-4-3\right)}^{2}+{\left(1-9\right)}^{2}}$
Now we simplify:
$d=\sqrt{{\left(4\right)}^{2}+{\left(-7\right)}^{2}+{\left(-8\right)}^{2}}$
$d=\sqrt{16+49+64}$
$d=\sqrt{129}$
If you want to leave it in exact form, you can leave the distance as $\sqrt{129}$. However, if you want the decimal answer, here it is rounded to the nearest thousandth's place:
$d\approx 11.358$