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Igoryamba
2 years ago
14

Simplify the following expression

Mathematics
1 answer:
Gnoma [55]2 years ago
5 0

Answer: D

Step-by-step explanation:

6i+10i+7

=16i+7

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I Prove that Cos(90-θ)/1+sin(90-θ) +1+sin(90-θ) /cos(90-θ) =2
USPshnik [31]
Okay,

so first you gotta know that cos(90-x) is equal to sinx and sin(90-x) is equal to cosx!!
Now all you gotta do is replace the cos(90-x) to sinx in the numerator and sin(90-x) to cosx in the denomenator inorder to make the numerator all into sin and denomenator all into cos.
After that, open up the brackets and solve...
At the end you'll hopefully get something like this :( 1+sin90 ÷ 1+cos90 )
And since sin90 is 1 (put it in the calculator!) and cos90 is 0, you'll get 2÷1 which is equals to 2!!

Hope this helped!  :)
6 0
3 years ago
Read 2 more answers
Find four distinct complex numbers (which are neither purely imaginary nor purely real) such that each has an absolute value of
Luda [366]

Answer:

  • 0.5 + 2.985i
  • 1 + 2.828i
  • 1.5 + 2.598i
  • 2 + 2.236i

Explanation:

Complex numbers have the general form a + bi, where a is the real part and b is the imaginary part.

Since, the numbers are neither purely imaginary nor purely real a ≠ 0 and b ≠ 0.

The absolute value of a complex number is its distance to the origin (0,0), so you use Pythagorean theorem to calculate the absolute value. Calling it |C|, that is:

  • |C| = \sqrt{a^2+b^2}

Then, the work consists in finding pairs (a,b) for which:

  • \sqrt{a^2+b^2}=3

You can do it by setting any arbitrary value less than 3 to a or b and solving for the other:

\sqrt{a^2+b^2}=3\\ \\ a^2+b^2=3^2\\ \\ a^2=9-b^2\\ \\ a=\sqrt{9-b^2}

I will use b =0.5, b = 1, b = 1.5, b = 2

b=0.5;a=\sqrt{9-0.5^2}=2.958\\ \\b=1;a=\sqrt{9-1^2}=2.828\\ \\b=1.5;a=\sqrt{9-1.5^2}=2.598\\ \\b=2;a=\sqrt{9-2^2}=2.236

Then, four distinct complex numbers that have an absolute value of 3 are:

  • 0.5 + 2.985i
  • 1 + 2.828i
  • 1.5 + 2.598i
  • 2 + 2.236i
4 0
3 years ago
How do you write an equation of a line that is parallel line to y=8x-8 through the point (5,2)
Andreyy89
Parallel means that the two equations have the same slope,

so we have y = 8x + b so far.

Then we can just apply the slope to the given point by taking the y value and decreasing it by 40, due to the x value being 5

So in short, the equation that runs parallel to y = 8x-8 and intersect the point (5,2) is y = 8x -38
8 0
3 years ago
Lorine drew the model below to represent the equation 16 + 28 = blank x (4 + 7). A model with 4 rows of 4 squares and 4 rows of
Mrac [35]

Answer:

Missing Value Is 4 .

Step-by-step explanation:

According To The Question, We Have

  • A model with 4rows*4squares & 4rows*7squares

        Equation is 16+28 = X*(4+7)

        Solve the above Equation, We get 44=X*11 ⇔ X=4

3 0
3 years ago
Please help!<br> Will give brainliest
zhuklara [117]

Answer:

16 nickels

Step-by-step explanation:

I just divided 32 by 2 I don't know if its completely right though

5 0
3 years ago
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