What is the distance between (4.9, 2.9) and (-3.0, 4.9)?

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What is the distance between (4.9, 2.9) and (-3.0, 4.9)?

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Answer 1 · 2018-04-29T21:31:46

$\sqrt{66.41}$ $sqrt66.41$ or $\approx 8.15$ $~~8.15$

Explanation:

The distance between two points is shown by the formula:
$d = \sqrt{{(x_{2} - x_{1})}_{2}^{2} + {(y_{2} - y_{1})}_{2}^{2}}$ $d = sqrt((x_2-x_1)^2 + (y_2-y_1)^2)$

We have the values for the two coordinates, so we can substitute them into the distance formula:
$d = \sqrt{{(4.9 - 2.9)}^{2} + {(- 3.0 - 4.9)}^{2}}$ $d = sqrt((4.9 - 2.9)^2 + (-3.0 - 4.9)^2)$

And now we simplify:
$d = \sqrt{{(2)}^{2} + {(- 7.9)}^{2}}$ $d = sqrt((2)^2 + (-7.9)^2)$

$d = \sqrt{4 + 62.41}$ $d = sqrt(4 + 62.41)$

$d = \sqrt{66.41}$ $d = sqrt(66.41)$

If you want the exact distance, you can leave it as $\sqrt{66.41}$ $sqrt66.41$ , but if you want it in decimal form, it is $\approx 8.15$ $~~8.15$ (rounded to nearest hundredth's place).

Hope this helps!

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What is the distance between (4.9, 2.9) and (-3.0, 4.9)?

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