Multiply ( 30x3 y2 )( 5x4 y3 ) a) 5x6 y4 6 b) 5x3 y2 6xy c) 5x2 y2 6xy d) 6x3 y2 5xy

150x⁷y⁵

Step-by-step explanation:

Step by step solution of given expression is:

( 30x³y² ) (5x⁴ y³ )

Opening both bracket and multiplying it

⇒ 30×5×x³×x⁴×y²×y³

Since, xᵃ × xᵇ = xᵃ⁺ᵇ

⇒ 150× x⁷× y⁵

⇒ 150x⁷y⁵

Hence, none of given option is true.

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.