How do you find the distance between the points (3,7), (-2,-5)?

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Answer 1 · 2017-01-16T13:06:01

See the entire solution 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 two points in the problem and solving gives:

#d = sqrt((color(red)(-2) - color(blue)(3))^2 + (color(red)(-5) - color(blue)(7))^2)#

#d = sqrt((-5)^2 + (-12)^2)#

#d = sqrt(25 + 144)#

#d = sqrt(169)#

Or

#d = 13#