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: 0.0000805
Step-by-step explanation:
You move the decimal 5 places to the left of 8.05.
<u><em>Answer:</em></u>
<u><em>41. 4/5 of the room is left to clean</em></u>
<u><em>42. The talent show takes 19/8 hours to complete</em></u>
<u><em>43. 5/8 of the cookie dough is left</em></u>
<u><em>44. 5/6 feet more to get as tall as Tom</em></u>
<u><em>45. 11/3 hours total</em></u>
<u><em>46. 1/2 cup of chocolate chip</em></u>
<u><em>Step-by-step explanation:</em></u>
<u><em>Please give me brainliest :)</em></u>
Answer:
B y= 4.50x + 5.00
Step-by-step explanation:
4.50 is the “mx” in y=mx+b also known as the Slope that moves.
the 5 is the ”b” which is the y-intercept. It is a constant and does not change.
