1. x >= 4, because 4 is dotted, and that means that 4 is included
2. x =/ 4, the third answer is correct, because all numbers except 4 are included
3. the first number line is the correct answer, because -3 is not included
4. the second number line is the correct answer, because -1 is included
5. the second number line is the correct answer, because 6 is not included
6. the first number line is the correct answer, because 0 is included
7. the second number line is the correct answer, because all numbers except -4 are included
8. the third number line is the correct answer, because -1,5 is included
When a number is included in an interval, it should have full dot on the number line, so that's how you know.
Hope this helps!
Answer:
Help with what?
Step-by-step explanation:
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.
The first species to populate an uninhabited
Answer:
6 mm
Step-by-step explanation:
Use the Pythagorean Theorem to solve for the unknown leg
Since we need to solve for a, we will manipulate the equation in terms of b and c → 
Here, b = 7 mm and c = 
mm
Plugging these numbers into our equation gives us 
→
= 
= 6 mm
