Distance between their seats is 4√2 units.
We are given that James mapped his seat and teacher's seat at (0,10) and (-4,6) on the coordinate plane.
So, distance between their seats= distance between the points (0,10) and (-4,6)
4√2 units (Answer C).
Going from the seat at (-4,6) to the one at (0,10), x increases by 4 units and y increases by 4 units. We need to use the distance formula to determine how far apart these seats are.
d = √(change in x)^2 + (change in y)^2 ).
That works out to:
d = √(4^2 + 4^2) = √(32) = 4√2 units (Answer C).