Question

PLEASE HELP!!!

Sam (4, 2) Theater (-3, 5)
Describe Sam's location relative to the theater.

Answer 1

The theater is approximately 3.16 units from Sam's location.

Explanation:

The distance between points
`(x_(1), y_(1))` and
`(x_(2), y_(2))` is given by:

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

So, the distance of the theater from Sam's location is:

`d=\sqrt{(-3-(-4) )^(2)+(5-2 )^(2) }`

`=\sqrt{1^(2)+3^(2) }`

`=√(10)`

= 3.16 approximately

Hence, the theater is approximately 3.16 units from Sam's location.