How do you find the distance between $(0, - 4)$ $(0, -4)$ and $(4, 4)$ $(4,4)$ ?

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How do you find the distance between $(0, - 4)$ $(0, -4)$ and $(4, 4)$ $(4,4)$ ?

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Answer 1 · 2017-06-21T14:43:10

$4 \sqrt{5}$ $4sqrt(5)$

Explanation:

Use the distance formula:

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

Plug your points into the formula.

You can make either coordinate set #1. Let's use (0, -4) as our first.

$(0, - 4)$ $(0, -4)$
$x_{1} = 0, y_{1} = - 4$ $x_1 = 0, y_1 = -4$

$(4, 4)$ $(4, 4)$
$x_{2} = 4, y_{2} = 4$ $x_2 = 4, y_2 = 4$

Distance = $\sqrt{{(4 - 0)}^{2} + {(4 - (- 4))}^{2}}$ $sqrt((4 - 0)^2 + (4 - (-4))^2)$

$= \sqrt{4^{2} + 8^{2}}$ $= sqrt(4^2 + 8^2)$
$= \sqrt{16 + 64}$ $= sqrt(16 + 64)$
$= \sqrt{80}$ $= sqrt(80)$
$= \sqrt{5} \cdot \sqrt{16}$ $= sqrt(5)*sqrt(16)$
$= \sqrt{5} \cdot 4$ $= sqrt(5)*4$
$= 4 \sqrt{5}$ $= 4sqrt(5)$

The distance between the two points is $4 \sqrt{5}$ $4sqrt(5)$ .

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How do you find the distance between $(0, - 4)$ $(0, -4)$ and $(4, 4)$ $(4,4)$ ?

1 Answer

Explanation:

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How do you find the distance between (0,−4)(0, -4) and (4,4)(4,4)?

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How do you find the distance between $(0, - 4)$ $(0, -4)$ and $(4, 4)$ $(4,4)$ ?