Answer:
<h2>
6cis120°</h2>
Step-by-step explanation:
The general form of a complex number z = x+iy
If x = rcos
and y = rsin
where r is the modulus of the complex number and is the argument, z in polar form is represented as:
z = rcos+ rsin
z = r(cos+ isin)
z = rcis
Given the complex number z=−3+3√3i
r = 
since the argument is negative and tan is negative in the 2nd and 4th quadrant,
In the second quadrant, theta = 180- 60 = 120°
On substituting r and theta, the complex number in polar form is expressed as 6cis120°
In order to solve this problem, it is helpful to draw a diagram (see image below). Since slope is “rise over run” you can make an equation of 4/x = .25 . Then by multiplying each side by x, you can get rid of the fraction. Next, you divide both sides by .25 . You will end up with x=16
Error: they divided both sides by three.
correct: they should’ve first subtracted both sides by two then divided both sides by three.
Answer:
<h2>
D. Two</h2>
Step-by-step explanation:
Two common points of the graphs (two intersects) means two solutions.
Answer:
either x or y must equal 0
Step-by-step explanation:
ts given that xy = 0
Remember that product of two numbers can be zero only if:
Both of them are zero or Either of them is zero as zero multiplied to any non-zero number will always be equal to zero. This is known as Zero Product Property.
So, if the product of x and y is equal to 0 there are two possibilities:
Both x and y are equal to 0
Either x or y must be equal to 0
Note that the condition both x and y are equal to zero is not a must condition, because even if one of them is equal to zero, the entire expression will be equal to zero.
Hence, the condition which has to be true in all cases for xy = 0 is:
either x or y must equal 0
