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

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

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Answer 1 · 2016-01-03T10:28:52

$\sqrt{165}$ $sqrt165$ or $12.845$ $12.845$ units

Explanation:

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

Distance, $D = \sqrt{{(x_{2} - x_{1})}_{2}^{2} + {(y_{2} - y_{1})}_{2}^{2} + {(z_{2} - z_{1})}_{2}^{2}}$ $D=sqrt((x_2-x_1)^2+(y_2-y_1)^2+(z_2-z_1)^2)$

Substituting the given values, we have,

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

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

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

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

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

1 Answer

Explanation:

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Science

Math

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

1 Answer

Explanation:

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