Question

Find the distance between the two points. Enter the number that goes beneath the radical symbol. (PICTURE ABOVE]​

Answer 1

For this case we have that by definition, the distance between two points is given by:

$d = \sqrt {(x_ {2} -x_ {1}) ^ 2+ (y_ {2} -y_ {1}) ^ 2}$

We have the following points:

$(x_ {1}, y_ {1}) :( 1,4)\\(x_ {2}, y_ {2}): (- 2, -3)$

Substituting we have:

$d = \sqrt {(- 2-1) ^ 2 + (- 3-4) ^ 2}\\d = \sqrt {(- 3) ^ 2 + (- 7) ^ 2}\\d = \sqrt {9 + 49}\\d = \sqrt {58}$

Thus, the distance between the points is$\sqrt {58}$

ANswer:

$d = \sqrt {58}$