There are 6 different cookies on a plate. aiden will choose 2 of thes cookies to pack in his luch. how many different pairs of 2 cookies can he choose from the 6? a. 12 b. 15 c. 30 d. 36

We would use the method of combinations to solve this problem:

There are 6 cookies. Aidan chooses 2 of them:

(6C2) which is 6 choose 2, or (6 * 5)/2 = 15.

The answer is 15 pairs.

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.

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