Hakim was feeling adventurous at lunch. Rather than choosing a single drink, he decided to
mix together all the drink choices. He mixed an equal amount of 7 types of soda to fill his 12-
ounce cup to the brim!
How many ounces of each type of soda did hakim get?

step-by-step explanation:

x^2 + 81

we can factor this using difference of square binomials.

rewrite the equation:

x^2 - (-81)

factor:

(a^2 - b^2) = (√a^2 + √b^2)(√a^2 - √b^2)

(x^2 - (-81) = (x + √-81)(x - √-81)

we can remove the - from under the radical by multiplying it by i.

(x^2 - (-81) = (x + i√81)(x - i√81)

(x^2 - (-81) = (x + 9i)(x - 9i)

we can check our answer by using foil:

x^2 - 9ix + 9ix - 81i^2

x^2 - 81^2

i^2 = -1

x^2 + 81

1/3

step-by-step explanation:

2/4 x 9/9 = 18/36

1/3 x 12/12 = 12/36 - smallest fraction

3/6 x 6/6 = 18/36

7/9 x 4/4 = 28/36