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Klio2033 [76]
3 years ago
10

Complex roots. Please help!

Mathematics
1 answer:
Tems11 [23]3 years ago
6 0

Using DeMoivre's theorem, and the fact that any root in the first quadrant has argument between 0^\circ and 90^\circ, we get

16i=16\left(\cos90^\circ+i\sin90^\circ)\implies\sqrt{16i}=\sqrt{16}\left(\cos45^\circ+i\sin45^\circ\right)

so the missing value is 45.

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How do you rewrite 7x3+7x5
Trava [24]

If your looking for Standard Form Rewrite it as... 7x^5+7x^3

8 0
2 years ago
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If f (x) = 5 x minus 25 and g (x) = one-fifth x + 5, which expression could be used to verify g(x) is the inverse of f(x)?
Vinil7 [7]

Answer:

The expression used to represent g(x) as inverse of f(x) is \frac{1}{5}(5x-25)+5

Option B is correct.

Step-by-step explanation:

We are given:

f(x)= 5x-25\\g(x)=\frac{1}{5}x+5

We need to find the expression that could be used to verify g(x) is the inverse of f(x).

We know that g(f(x))=x is inverse of function

So placing value of f(x) in g(x)

g(f(x))=\frac{1}{5}(5x-25)+5

So, the expression used to represent g(x) as inverse of f(x) is \frac{1}{5}(5x-25)+5

Option B is correct.

We can also solve to prove that g(f(x))=x

g(f(x))=\frac{1}{5}(5x-25)+5\\g(f(x))=\frac{5}{5}(x-5)+5\\g(f(x))=x-5+5\\g(f(x))=x

5 0
3 years ago
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The probability that Caroline wins a raffle is given by the expression
RSB [31]

Answer:  \frac{n-m}{n}

This is the same as writing (n-m)/n

Don't forget about the parenthesis if you go with the second option.

==================================================

Explanation:

The probability that she wins is m/n, where m,n are placeholders for positive whole numbers.

For instance, m = 2 and n = 5 leads to m/n = 2/5. This would mean that out of n = 5 chances, she wins m = 2 times.

The probability of her not winning is 1 - (m/n). We subtract the probability of winning from 1 to get the probability of losing.

We could leave the answer like this, but your teacher says that the answer must be "in the form of a combined single fraction".

Doing a bit of algebra would have these steps

1 - \frac{m}{n}\\\\\frac{n}{n} - \frac{m}{n}\\\\\frac{n-m}{n}\\\\

and now the expression is one single fraction.

8 0
3 years ago
What is the answer to 12x23
Triss [41]
The answer to 12x23 is 276
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4 years ago
Find the values of x and y
IrinaVladis [17]
The value of y=29
the value of x=61
7 0
3 years ago
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