Question

What is the approximate distance between the points (–2, 3, –5) and (2, –7, 4)?

11

14

17

23


My answer: 14

Answer 1

@jim_thompson5910

Answer 2

Sounds good

Answer 3

\[\Large d = \sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2+\left(z_2-z_1\right)^2}\]
\[\Large d = \sqrt{\left(2-(-2)\right)^2+\left(-7-3\right)^2+\left(4-(-5)\right)^2}\]
\[\Large d = \sqrt{\left(2+2\right)^2+\left(-7-3\right)^2+\left(4+5\right)^2}\]
\[\Large d = \sqrt{\left(4\right)^2+\left(-10\right)^2+\left(9\right)^2}\]
\[\Large d = \sqrt{16+100+81}\]
\[\Large d = \sqrt{197}\]
\[\Large d \approx 14.0356688476181\]
\[\Large d \approx 14\]
So you have the correct answer. Nice job