How do you find the distance between (-7.5,1.1), (-4.1,-1.9)?

1 Answer
Feb 16, 2017

Answer:

See the entire solution process below:

Explanation:

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)(-4.1) - color(blue)(-7.5))^2 + (color(red)(-1.9) - color(blue)(1.1))^2)#

#d = sqrt((color(red)(-4.1) + color(blue)(7.5))^2 + (color(red)(-1.9) - color(blue)(1.1))^2)#

#d = sqrt((3.4)^2 + (-3)^2)#

#d = sqrt(11.56 + 9)#

#d = sqrt(20.56) = 4.534# rounded to the nearest thousandth.