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Distance Formula

Find the dist...

Question

Find the distance between $(x + 3, x - 3)$ from the origin.

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Solution

Distance between $(x + 3, x - 3)$ from the origin

$=$ Distance between $(x + 3, x - 3)$ from $(0, 0)$

$= \sqrt{{(x_{2} - x_{1})}^{2} + {(y_{2} - y_{1})}^{2}}$

$= \sqrt{{(x + 3 - 0)}^{2} + {(x - 3 - 0)}^{2}}$

$= \sqrt{x^{2} + 9 + 6 x + x^{2} + 9 - 6 x}$

$= \sqrt{2 x^{2} + 18}$ units

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