Given the point (-7, 9), what would the coordinates be after that point was translated 4 units up? ( _ , _ )

Just add 4 to the y-coordinate, 9:

(-7,9) => (-7,9+4) => (-7,13)

18

step-by-step explanation:

draw the shape and you will see that f and k are actually at adjacent vertices (points of the hexagon that are neighboring).   so find the distance between (1,2) and (4,2).   that is easy since (1,2) and (4,2) is just a vertical distance to count, which is 3.   it is a regular polygon which means all sides are congruent.   you have 6 sides (hexa) so multiply 6 by 3 to receive 18.