Simplify to create an equivalent expression. -3(2+4k)+7(2k-1)−3(2+4k)+7(2k−1)

-26 +4k

Step-by-step explanation:

-3(2+4k)+7(2k-1)−3(2+4k)+7(2k−1)

Notice that we  have 2k-1 as a factor  2 times  and 2+4k as a factor 2 times

-3(2+4k)−3(2+4k)+7(2k−1)+7(2k-1)

Think of the factor as a variable 2k-1 = M   and 2+4k = P

-3(P)−3(P)+7(M)+7(M)

Combine like terms

-6P + 14M

Now substitute back M =2k-1 and P = 2+4k

-6(2+4k) +14 (2k-1)

Distribute

-12 -24k  + 28k -14

Combine like terms

-26 +4k

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.

$5.41

step-by-step explanation:

$20 - $14.51 = $5.49.