Simplify the expression using the distributive property:
5 (2x – 3y + 4)

Apply the distributive property. 5 (2x) +5 (−3y) + 5 ⋅ 4

Multiply 2 by 5

10x + 5 ( − 3y ) + 5 ⋅ 4

Multiply  −3 by 5     10x − 15y + 5 ⋅ 4

Multiply  5 by 4

10x −15y + 20

Tip: The sign   "⋅"  means multiply

dc=6 square root of 3 and ac is 12 square root 3

c and d

step-by-step explanation:

square root of 3/2 = 18/c

cross multiply to get 18*2=√3*c

36/√3 * √3/√3 = c

c= 36*√3/3

c=12√3

the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

now, we can solve for w

subtract both sides by 12

divide both sides by 2

and we get

so,

the smallest possible measurement of the width is 14 feet