Which is equivalent to the expression? 4(x + 5) + 4x + 8 a) 4(2x + 7) b) 5x + 17 c) 8(x + 4) d) 8x + 13

A) 4(2x + 7) is your answer.

Step-by-step explanation:

Distribute 4 to all terms within the first parenthesis.

4(x + 5) = 4x + 20

4x + 20 + 4x + 8

Simplify. Combine like terms.

4x + 4x + 20 + 8

8x + 28

A) 4(2x + 7) is your answer.

Simplify. Distribute 4 to all terms within the parenthesis

4(2x) = 8x

4(7) = 28

8x + 28 = 8x + 28 ∴ 4(x + 5) + 4x + 8 = 4(2x + 7)

~

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.