Question

Which expression gives the distance between points (1,-2) and (2,4)

Answer 1

Answer:

$\sqrt{37}$

Step-by-step explanation:

Distance formula

$d = \sqrt {\left( {x_1 - x_2 } \right)^2 + \left( {y_1 - y_2 } \right)^2 }$

$d = \sqrt {\left( {1 - 2 } \right)^2 + \left( {-2 - 4 } \right)^2 }$

Simplify

$d = \sqrt {\left( {-1 } \right)^2 + \left( {-6 } \right)^2 }$

Simplify

$d = \sqrt {\left 1 + \left 36}$

$d = \sqrt{37}$

Answer

$d = \sqrt{37}$