First, make improper fractions
4 2/3 = 14/3
2 2/9 = 20/9
Then divide
14/3 ÷ 20/9 = 14/3 * 9/20
= 126/60
Then simplify
= 2 1/10
You cannot model 26 divided by 3 because the quotient continues on forever.
Hope this helps!
-Coconut;)
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:
4/25 or 0.16
Step-by-step explanation:
2/5 ^ 2 = 4/25
2/5 x 2/5 = 4/25 or 0.16
Answer:
2x+12
Step-by-step explanation:
2x+3(x-2)-3(x-6)
2x+3x-6-3x+18
2x-6+18
2x+12
