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bezimeni [28]
3 years ago
8

Simplify [2 (cos 210 + i sin 210)]^3

Mathematics
1 answer:
Dennis_Churaev [7]3 years ago
3 0
After simplifying the real and imaginary parts you'd get -8i

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-6-5
tankabanditka [31]

The equation of the line that is parallel to the given line and passes through the point (-2,2) is:

y = \frac{x}{5} + \frac{12}{5}

<h3>What is a linear function?</h3>

A linear function is modeled by:

y = mx + b

In which:

  • m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
  • b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

When two lines are parallel, they have the same slope. In this problem, the given line passes through (-5,-4) and (0,-3), hence the slope is:

m = (-3 - (-4))/(0 - (-5)) = 1/5.

Hence the equation is:

y = \frac{x}{5} + b

When x = -2, y = 2, then:

y = \frac{x}{5} + b

2 = \frac{-2}{5} + b

b = \frac{12}{5}

Hence:

y = \frac{x}{5} + \frac{12}{5}

More can be learned about linear equations at brainly.com/question/24808124

#SPJ1

7 0
2 years ago
If (angle)1 = 7x and (angle)4 = 3x + 20, what is the value of x?
Semenov [28]
The value of x is 5. Angle one and four are vertical. You can do this by writing 7x = 3x + 20. Isolate the variable by moving 3x to the other side. If you do this, 3x becomes negative, and you end up with 7x-3x = 20 --> 4x = 20.
x=5.
7 0
3 years ago
Read 2 more answers
Penny joined a yoga studio that charges a $25 membership fee and $45 each month. Assume y = total cost and x = number of months.
Firlakuza [10]

Answer:

y=45x+25

Step-by-step explanation:

y=45x+25

25 is a one-time fee so it is at the end. 45 is the monthly fee so it goes in front of x.

3 0
3 years ago
Read 2 more answers
Can somebody please help me with the question below and please explain how to find the answer? plz, I'm studying for a test plzz
blagie [28]

Answer:

-10/9 < -2/3 < 4/6 < 6/5 < 5/4

(hope this helps!)

Step-by-step explanation:

3 0
3 years ago
Please help me!
Tomtit [17]
This is how it would work to find answer

You divide 225 by 45 and the answer you would get is 5 so

 It will take 5h for the train to travel


hope this helps


3 0
3 years ago
Read 2 more answers
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