How do you use the distance formula find the distance, to the nearest tenth from J (4,-2) and U (-2,3)?

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Answer 1 · 2017-06-12T13:16:24

See a 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:

$d = sqrt((color(red)(-2) - color(blue)(4))^2 + (color(red)(3) - color(blue)(-2))^2)$

$d = sqrt((color(red)(-2) - color(blue)(4))^2 + (color(red)(3) + color(blue)(2))^2)$

Next, perform the addition and subtraction of the terms within the parenthesis:

$d = sqrt((-6)^2 + 5^2)$

Then square each term within the radical:

$d = sqrt(36 + 25)$

Now add the results:

$d = sqrt(61)$

or

$d = 7.8$