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

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Answer 1 · 2017-04-04T00:22:25

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 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.