Which system of inequalities is represented by the graph?
y ≤ 3x y > –2x – 1
y > 3x y ≤ –2x – 1
y < –3x y ≥ 2x – 1
y > –3x y ≤ 2x – 1

y ≤ 3x  and y > –2x – 1

Step-by-step explanation:

We start graping using given options

Lets graph y=3x

Make a table

x        y= 3x

-1       3(-1)= -3

0        0

1         3(1) = 3

for y = 3x . It is a solid blue line and the graph is shaded down

The graph is shaded down so we use <= symbol

So inequality becomes y <= 3x

Now we graph y= -2x-1

x           y =-2x-1

-1          -2(-1)-1=1

0          -2(0) -1 = -1

1           -2(1) -1 = -3

the above points matches the dotted line graph

The graph has a dotted line and it is shaded up so we use > symbol

So inequality becomes y > -2x-1

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.