Answer:
Standard Complex Form : 
Step-by-step explanation:
We want to rewrite this expression in standard complex form. Let's first evaluate cos(5π / 6). Remember that cos(x) = sin(π / 2 - x). Therefore,
cos(5π / 6) = sin(π / 2 - 5π / 6),
π / 2 - 5π / 6 = - π / 3,
sin(- π / 3) = - sin(π / 3)
And we also know that sin(π / 3) = √3 / 2. So - sin(π / 3) = - √3 / 2 = cos(5π / 6).
Now let's evaluate the sin(5π / 6). Similar to cos(x) = sin(π / 2 - x), sin(x) = cos(π / 2 - x). So, sin(5π / 6) = cos(- π / 3). Now let's further simplify from here,
cos(- π / 3) = cos(π / 3)
We know that cos(π / 3) = 1 / 2. So, sin(5π / 6) = 1 / 2
Through substitution we receive the expression 25( - √3 / 2 + i(1 / 2) ). Further simplification results in the following expression. <u>As you can see your solution is option a.</u>

Answer:
The equation would be set up as y=mx+b
Sometimes the x b and y will be switched around and you would have to subtract add or divide to place the number in slope intercept form
The final point can be done by simple vector addition. Just add the corresponding components.
Final point: (4 + -1, 2 + 3) = (3, 5).
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The value of the expression will decrease as x increases.
You can test this out by plugging in random numbers in place of x, like 20-5=15 and 20-8=12. The value of the expression (or the answer) is becoming smaller as the value of x becomes larger.
Hope this helps :)