Suppose that x varies directly with y and x=17 when y=-85. what is the constant variation and what is the value of x when y=-160

x=32

Step-by-step explanation:

The equation for direct variation is y =kx

We need to find the constant of variation k

-85 = k*17

Divide by 17

-85/17 = k

-5 = k

y = -5k

When y = -160

-160 = -5x

Divide by -5

-160/-5 =-5x/-5

32=x

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.