Let z= -5 sqrt 3/2 + 5/2i and w=1 + sqrt 3i

a. convert z and w to polar form.

b. calculate zw using de moivre’s theorem.

c. calculate (z / w) using de moivre’s theorem.

a.

b. Not exactly sure how DeMoivre's theorem is relevant, since it has to do with taking powers of complex numbers... At any rate, multiplying and is as simple as multiplying the moduli and adding the arguments:

c. Similar to (b), except now you divide the moduli and subtract the arguments:

three-fourths of an hour

36÷48=0.75

0.75=

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.