To the nearest tenth, what is the distance between (7, -4) and (-3, -1)?

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Answer 1 · 2017-01-10T14:20:30

The distance is 10.4

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 points from the problem into the formula and calculating gives:

#d = sqrt((color(red)(-3) - color(blue)(7))^2 + (color(red)(-1) - color(blue)(-4))^2)#

#d = sqrt((-10)^2 + (3)^2)#

#d = sqrt(100 + 9)#

#d = sqrt(109)#

#d = 10.4#