How do you find the distance between (4/5, -1), (2,-1/2)?

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Answer 1 · 2017-02-01T12:06:58

See the entire 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 and calculating gives:

#d = sqrt((color(red)(2) - color(blue)(4/5))^2 + (color(red)(-1/2) - color(blue)(-1))^2)#

#d = sqrt((color(red)(2) - color(blue)(4/5))^2 + (color(red)(-1/2) + color(blue)(1))^2)#

#d = sqrt((color(red)(2) - color(blue)(0.8))^2 + (color(red)(-0.5) + color(blue)(1))^2)#

#d = sqrt((1.2)^2 + (0.5)^2)#

#d = sqrt(1.44 + 0.25)#

#d = sqrt(1.69) = 1.3#

#d = 1 + 3/10#

#d = 10/10 + 3/10#

#d = 13/10#

The distance between the points is #1.3# or #13/10#