What is the distance between points (1, 9) and (-4, -1)? Round your answer to the tenths place.

1 Answer
Apr 4, 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) - color(blue)(1))^2 + (color(red)(-1) - color(blue)(9))^2)#

#d = sqrt((-5)^2 + (-10)^2)#

#d = sqrt(25 + 100)#

#d = sqrt(125) = 11.2# rounded to the nearest tenth.