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DiKsa [7]
4 years ago
5

I^89 simplified. Complex number.

Mathematics
1 answer:
Semmy [17]4 years ago
3 0
This problem can be simplified by remembering that since i= \sqrt{-1}, we have i^{4}=(-1)^{2}=1. Then we have i^{89}=i^{88+1}=i^{88}i^{1}=(i^{4})^{22}i=(1)^{22}i=i.
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A flagpole has a height of 10 yards. It will be supported by 3 cables, each of which is attached to the flagpole at a point 4 ya
Contact [7]
Pytagorean theorem

height10
attached at 10-4=6 yards from bottom
8 yards from base to away


a^2+b^2=c^2
a and b are side legnths and c=hypotonuse
so therfore we are given a and b and we must solve for c


so
6=height
8=base

6^2+8^2=c^2
36+64=c^2
100=c^2
square root
10=c

so therfor the legnth of each cable is 10 yards
3 cables so 3 times 10=30

30 yards needed

7 0
3 years ago
What Is The Meaning Of Addition?<br><br>Answer Will Be Marked As Brainliest!​
wel

Answer:

Addition is the action or process of adding something to something else.

8 0
3 years ago
Read 2 more answers
. Denise has multiplied (2r – 3)(2r + 3) to get 4r2 – 9. After looking at her work, Hyder says her solution must be incorrect be
makvit [3.9K]

Answer:

The answer is 4r² – 9

Denise answer is correct.

Step-by-step explanation:

One of the methods of solving the given equation [(2r – 3)(2r + 3)] is the FOIL method

Using the FOIL method (Used for multiplying binomials)

F stands for first

O stands for outer

I stands for inner

L stands for last

In this method, it means we will first multiply the first terms followed by multiplying the outer term, then multiplying the inner terms and finally, the last terms.

So, for the equation  (2r – 3)(2r + 3)

First : (2r)(2r) = 4r²

Outer : (2r)(+3) = 6r

Inner : (–3)(2r) =  – 6r

Last :  (–3)(+3) =  – 9

Adding the results we get

4r² + 6r – 6r – 9 (+6r and – 6r cancels out)

= 4r² – 9

∴ (2r – 3)(2r + 3) = 4r² – 9

Hence, Denise answer is correct

5 0
3 years ago
Which of the following is a solution of x² - 7x = -5?
lesya [120]

\frac{7 -  \sqrt{} 29} {2}

x {}^{2}  - 7x =  - 5 \\ x {}^{2}  - 7x - ( - 5) =  - 5 - ( - 5) \\ x {}^{2}  - 7x( - 5) = 0 \\ x {}^{2}  - 7x + 5 = 0 \\ x =  \frac{ - ( - 7 +  \sqrt{( - 7 {) }^{2}  - 4 \times 5} }{2}  \\ x  =  \frac{ - ( - 7 +  \sqrt{49 - 4 \times 5} }{2}  \\ x =  \frac{ - ( - 7) +  \sqrt{49 \times 20} }{2}  \\ x =  \frac{ - ( - 7) \sqrt{29} }{2}  \\ x =   \frac{7 +  \sqrt{29} }{2}  \\  \frac{ \sqrt{29 + 7} }{2}  \\ x =  \frac{7 -  \sqrt{29} }{2}  \\ x =   \frac{ \sqrt{29 + 7} }{2}  \\ x =  \frac{7 -  \sqrt{29} }{2}

7 0
3 years ago
Which table represents a linear function
Sphinxa [80]

Answer:

The bottom right function.

Step-by-step explanation:

The bottom right function is the only function with a common ratio.

8 0
3 years ago
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