How do you find the distance between (-0.6,-0.455), (1.77,-5.3)?

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How do you find the distance between (-0.6,-0.455), (1.77,-5.3)?

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Answer 1 · 2017-06-01T14:05:05

See a solution process below:

Explanation:

The formula for calculating the distance between two points is:

$d = \sqrt{{(x_{2} - x_{1})}^{2} + {(y_{2} - y_{1})}^{2}}$ $d = sqrt((color(red)(x_2) - color(blue)(x_1))^2 + (color(red)(y_2) - color(blue)(y_1))^2)$

Substituting the values from the points in the problem gives:

$d = \sqrt{{(1.77 - - 0.6)}^{2} + {(- 5.3 - - 0.455)}^{2}}$ $d = sqrt((color(red)(1.77) - color(blue)(-0.6))^2 + (color(red)(-5.3) - color(blue)(-0.455))^2)$

$d = \sqrt{{(1.77 + 0.6)}^{2} + {(- 5.3 + 0.455)}^{2}}$ $d = sqrt((color(red)(1.77) + color(blue)(0.6))^2 + (color(red)(-5.3) + color(blue)(0.455))^2)$

$d = \sqrt{{2.37}^{2} + {(- 4.845)}^{2}}$ $d = sqrt(2.37^2 + (-4.845)^2)$

$d = \sqrt{5.6169 + 23.474025}$ $d = sqrt(5.6169 + 23.474025)$

$d = \sqrt{29.090925}$ $d = sqrt(29.090925)$

Or

$d = 5.394$ $d = 5.394$ rounded to the nearest thousandth

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How do you find the distance between (-0.6,-0.455), (1.77,-5.3)?

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