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".
Explanation + answers
Because there are lengths going from 0 to 1, the lines must mean either decimals or fractions (we'll use fractions for this.)
1. There are twelve lines from 0 and 1, which we can use as the denominator for our fraction. This means the length of each line is 1/12.
2. In order to find where K's point is at, we simply need to count until we get to it. After counting, I see that K is on point 8/12, which we can simplify to get a smaller number. If we simplify once, we get 4/6, which we can again simplify to get 2/3. This gives us the answer K is on point 8/12 or 2/3.
Answer:
this cannot be factored since nothing shares factorable groups/values
Step-by-step explanation:
hope this helps:)
A parent function is normally not streched or anything or shhifted
y=kx or
y=x^a or
y=a^x are exapmles
y=x is y=1x
y=2x^3 is not it because the parent would be y=x^3
y=1/x is y=x^-1
y=2^x is y=2^x
answer is 2x^3 is not a parent function
Answer:
c) $615
Step-by-step explanation:
The expression used to determine how much is the charge for the customer after the job is
where
h is the number of hours the job took
c is the number of cans of paint used during the job
In this problem:
c = 3 (the painter used 3 cans of paint)
h = 15 (the painter took 15 hours for the job)
So substituting these values into the equation for p, we find the total value that the painter charged for the job:
So, the correct answer is
c) $615
