Remember that the slope of a line never changes, so you can choose whatever 2 points you want and you will always get the same slope. Calculate the rise and run (You can draw it on the graph if it helps). The slope is 2/4, which , of course, you can simplify to ½.
First list all the terms out.
e^ix = 1 + ix/1! + (ix)^2/2! + (ix)^3/3! ...
Then, we can expand them.
e^ix = 1 + ix/1! + i^2x^2/2! + i^3x^3/3!...
Then, we can use the rules of raising i to a power.
e^ix = 1 + ix - x^2/2! - ix^3/3!...
Then, we can sort all the real and imaginary terms.
e^ix = (1 - x^2/2!...) + i(x - x^3/3!...)
We can simplify this.
e^ix = cos x + i sin x
This is Euler's Formula.
What happens if we put in pi?
x = pi
e^i*pi = cos(pi) + i sin(pi)
cos(pi) = -1
i sin(pi) = 0
e^i*pi = -1 OR e^i*pi + 1 = 0
That is Euler's identity.
Answer:
B) Right triangle
Step-by-step explanation:
Only right triangles have an angle that's 90°.
The number of hours that helena need to work to generate 165 dollars is
33 hours.
Helena has to work hours to earn $165. 33
Algebraic equations are equations with
unknown variables. The alphabet letters are used to represent algebraic equations.
Total $33.00 in her 6 hours she worked.
This question should find out how long it takes her to earn her $165.00 in that job.
let x hours be required work hours to earn $165.00 ..
This can be expressed in algebraic equations as:
x= 6× 165/33
x= 990/33
x= 30
Hence, helna have to work thirty hours to earn $165.00 ..
To learn more about Work time problem solving, refer:
brainly.com/question/15447610
#SPJ4
The answer is
x _ 2y = 2
<span>3x + y = 6
</span>3x _ 6y = 6 (1
<span>3x + y = 6 (2
</span>(1 - (2
-7y=0, y=0, so x - 2.0=2 implies x=2
