The argument of complex number (+i ) is ()
Complex number:
A complex number is a result of adding a real and an imaginary number. A complex number has the formula a + ib and is usually represented by the symbol z. Both a and b are real numbers in this case. The value 'a' is known as the real part, which is denoted by Re(z), and the value 'b' is known as the imaginary part Im (z). ib is also known as an imaginary number.
Argument:
A complex number is represented in polar form by the equation r(cos +isin), where is the argument. Arg(z) denotes the argument function, where z is the complex number, i.e. z = x + iy. The complex argument can be determined by the following formula:
arg (z) = arg (x+iy) = (y/x)
Here the given complex number is (+i )
arg (z) = arg (+i )= ()
Therefore,the argument of complex number (+i ) is ()
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Answer:
1/10 or 0.1
Step-by-step explanation:
70*1/10=7
7*1/10=0.7
0.7*1/10=0.07 etc
Let's write the equation of line in slope point form ~
Now, let's use this equation of line to plot two points ~
- when x = 0, y = (3 × 0) - 1 = - 1
- when x = -1, y = (3 × -1) -1 = -4
Now, plot these points on graph ~
Answer:
Step-by-step explanation:
Parent function:
The properties of the parent function are:
- Starts at the origin, so y-intercept is at (0, 0)
- Domain: x ≥ 0
- Range: y ≥ 0
- As x increases, y increases
From inspection of the graph, as the x-values increase, the y-values decrease. Therefore there has been a <u>reflection in the x-axis</u>.
The y-intercept is now at (0, 2), therefore the function has been <u>translated 2 units up</u>.
<u>Translations</u>
For a > 0
Therefore:
Reflected in the x-axis:
Then translated 2 units up:
So the equation that represents the transformed function is:
Answer:
y = 3/4x - 13
Step-by-step explanation:
As we already know the slope, we just need to find the y-intercept.
y = 3/4x +b
-7 = 3/4(8) + b
-7 = 6 + b
-13 = b
y = 3/4x - 13