Question

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

Answer 1

`√(37)`

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 = √(37)`

Answer

`d = √(37)`