I don't know how to make a 'greater than' sign.
6x is greater than x + 20
6x - x is greater than 20
5x is greater than 20
x is greater than 20 divided by 5
x is greater than 4
So, any number greater than 4 will work in this equation.
Answer:
Step-by-step explanation:
Firstly, note that -2i really is just z = 0 + (-2)i, so we see that Re(z) = 0 and Im(z) = -2.
When we're going from Cartesian to polar coordinates, we need to be aware of a few things! With Cartesian coordinates, we are dealing explicitly with x = blah and y = blah. With polar coordinates, we are looking at the same plane but with angle and magnitude in consideration.
Graphing z = -2i on the Argand diagram will look like a segment of the y axis. So we ask ourselves "What angle does this make with the positive x axis? One answer you could ask yourself is -90°! But at the same time, it's 270°! Why do you think this is the case?
What about the magnitude? How far is "-2i" stretched from the typical "i". And the answer is -2! Well... really it gets stretched by a factor of 2 but in the negative direction!
Putting all of this together gives us:
z = |mag|*(cos(angle) + isin(angle))
= 2*cos(270°) + isin(270°)).
To verify, let's consider what cos(270°) and sin(270°) are.
If you graph cos(x) and look at 270°, you get 0.
If you graph sin(x) and look at 270°, you get -1.
So 2*(cos(270°) + isin(270°)) = 2(0 + -1*i) = -2i as expected.
Answer:
Step-by-step explanation:
Gabrielle and John each
wrote the prime factorization of 64.
64 can be break into 32 times 2
32 can be break into 16 times 2
16 can be break into 8 and 2
8 can be break into 4 times 2
4 can be break into 2 times 2
So 64 is equal to 2 times 2 times 2 times 2 times 2 times 2
Answer: $2203.74
Step-by-step explanation:
