Mousa needs to find the area of his rectangular yard to determine how much sod he needs to buy. The length and width of his yard. L(z) and W(2) can be represented using the following functions L(3) = 2 - 4
W(2) = +3
Which of the following functions correctly represents the area of his yard. A(z)?
A(z) = 3-1
A(z)=3-7
A(z) = 22 +22 - 12
A(z) = 22 - 102 - 12

1^3 + 2^3 + 3^3 +4^3 = (1+2+3+4)^2

step-by-step explanation:

i am only able to answer the first part. i am not sure about the second part. sorry

the solution, from the graphing of the two lines, is (3,2), i.e., x = 3, y = 2.

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