Complete the following exercises by applying polynomial identities to complex numbers. factor x2 + 64. check your work. factor 16x2 + 49. check your work. find the product of (x + 9i)2. find the product of (x − 2i)2. find the product of (x + (3+5i))2.

(a)

(b)

(c)

(d)

(e)

Step-by-step explanation:

(a)

we are given

we can also write as

now, we can use factor formula

we get

(b)

we are given

we can also write as

now, we can use factor formula

we get

(c)

we can use formula

so, we can write as

we can simplify it

and we get

(d)

we can use formula

so, we can write as

we can simplify it

and we get

(e)

we can distribute

so, we can write as

now, we can simplify it

4+n=5

step-by-step explanation:

this is because the four is four hours and the n represents the 1 extra hour over the weekend.

b= i'm srry i don't know that one.

4+n=5 n=1 because if vernon plays 5 hours a week then 4+1=5 hours.

hope this : )

answer: the price of one pound cabbage = $ 0.8

the point (10,8) represents that the cost of 10 pounds cabbage is $ 8

step-by-step explanation:

since, here is a proportional relation between the number of pounds of cabbage (x) and the price in dollars (y).

therefore, we can write,

⇒ y = k x

where k is the constant of proportionality.

now, point (5,4) is in the line.

thus, it will satisfies the above equation of line.

⇒ 4 = 5 k

⇒ k = 0.8

thus, the equation of the line is,

y = 0.8 x

a) for x = 1,

y = 0.8

therefore, the cost of one pound of cabbage is 0.8 dollars.

b) in the below graph (10,8) represents that the cost of 10 pounds of cabbage is 8 dollars.