Question

What is the distance between nicholas's school and the post office?

Answer 1

Part A:

Given that Nicholas's school is located at point (3, 2) and that the post office is located at point (-2, -2), then the distance between Nicholas's school and the post office is given by:


`d= √((-2-3)^2+(-2-2)^2) \\ \\ = √((-5)^2+(-4)^2) = √(25+16) \\ \\ √(41) =\bold{6.4} \ units`



Part B:

If Nicholas is located at point (– 3 , 2), the distance to get to the grocery store located at point (1,-1) is given by:


`d= √((1-(-3))^2+(-1-2)^2) \\ \\ = √((1+3)^2+(-3)^2) = √((4)^2+9) \\ \\ = √(16+9) = √(25) =\bold{5}`