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:

The formula for calculating the distance between two points is:

#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((color(red)(1.77) - color(blue)(-0.6))^2 + (color(red)(-5.3) - color(blue)(-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(5.6169 + 23.474025)#

#d = sqrt(29.090925)#

Or

#d = 5.394# rounded to the nearest thousandth