Which of the following is a solution to the following system of inequalities? - (-1,1) - (-4,0) - (3,-2) - (0,3)

We are given coordinates

(-1,1)

(-4,0)

(3,-2)

(0,3)

Solution: First coordinate (-1,1) is on the dotted line. Therefore, (-1,1) not a solution to the following system of inequalities.

Note: Dotted line is excluded from the solution region.

Second coordinate (-4,0) is outside shaded region. Therefore, (-4,0) is not solution to the following system of inequalities.

Third coordinate (3,-2) is exactly on the solid line. Therefore, (3,-2) is a solution to the following system of inequalities.

Note: Solid line included in the solution region.

Fourth coordinate (0,3) is outside shaded region Therefore, (0,3) is not a solution to the following system of inequalities.

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.