Let the given complex number
z = x + ix =
We have to find the standard form of complex number.
Solution:
∴ x + iy =
Rationalising numerator part of complex number, we get
x + iy =
⇒ x + iy =
Using the algebraic identity:
(a + b)(a - b) = -
⇒ x + iy =
⇒ x + iy = [ ∵
]
⇒ x + iy =
⇒ x + iy =
⇒ x + iy =
⇒ x + iy = 1 - i
Thus, the given complex number in standard form as "1 - i".
Answer:
The cost of a piece of dark meat is <u>$0.70</u> and the cost of a piece of white meat is <u>$0.85</u>.
Step-by-step explanation:
Given:
At Clucker's Chicken, a bucket of 4 pieces of dark meat and 5 pieces of white meat costs 7.05.
A bucket of 3 pieces of dark meat and 8 pieces of white meat costs 8.90.
Now, to find the cost of a piece of dark meat and the cost of a piece of white meat.
Let the cost of a piece of dark meat be
And the cost of a piece of white meat be
A bucket of 4 pieces of dark meat and 5 pieces of white meat costs $7.05.
So,
.......(1)
Now, a bucket of 3 pieces of dark meat and 8 pieces of white meat costs $8.90.
Substituting the value of from equation (1) we get:
<em>Multiplying both sides by 4 we get:</em>
<em>Subtracting both sides by 21.15 we get:</em>
<em>Dividing both sides by 17 we get:</em>
<u>The cost of a piece of white meat = $0.85.</u>
Now, substituting the value of in equation (1) we get:
<u>The cost of a piece of dark meat = $0.70.</u>
Therefore, the cost of a piece of dark meat is <u>$0.70</u> and the cost of a piece of white meat is <u>$0.85</u>.