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Eva8 [605]
3 years ago
8

PLEASE HELP! What is the relationship between vectors, complex numbers and polar coordinates?

Mathematics
2 answers:
Vera_Pavlovna [14]3 years ago
8 0

Answer: There is also a connection between multiplication of complex numbers and polar coordinates. As usual, polar coordinates of a point ( x , y ) in the plane are defined as ( r , θ ) where r is the length of the vector ( x , y ) and θ is the angle this vector makes with the positive x axis.

hope this helps

defon3 years ago
3 0

Answer:

From My understanding they are all sort of representations of the same thing. Complex numbers can be written as polar coordinates or as a vector, although vectors have a magnitude and direction. I'm still a bit confused on this topic myself, but hope this helps a little bit

Step-by-step explanation:

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Step-by-step explanation:

3x+2x+10+2x+5+2x-15 = 360

9x+15-15=360

9x=360

x=40.

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hope this helps you.

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Step-by-step explanation:

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How do you do number 1?<br>Whenever I tried to answer it, I always get fraction. help me.​
Flura [38]

Answer:

The pairs are (13,15) and (-15,-13).

Step-by-step explanation:

If n is an odd integer, the very next odd integer will be n+2.

n+1 is even (so we aren't using this number)

The sum of the squares of (n) and (n+2) is 394.

This means

(n)^2+(n+2)^2=394

n^2+(n+2)(n+2)=394

n^2+n^2+4n+4=394               since (a+b)(a+b)=a^2+2ab+b^2

Combine like terms:

2n^2+4n+4=394

Subtract 394 on both sides:

2n^2+4n-390=0

Divide both sides by 2:

n^2+2n-195=0

Now we need to find two numbers that multiply to be -195 and add up to be 2.

15 and -13 since 15(-13)=-195 and 15+(-13)=2

So the factored form is

(n+15)(n-13)=0

This means we have n+15=0 and n-13=0 to solve.

n+15=0

Subtract 15 on both sides:

n=-15

n-13=0

Add 13 on both sides:

n=13

So if n=13 , then n+2=15.

If n=-15, then n+2=-13.

Let's check both results

(n,n+2)=(13,15)

13^2+15^2=169+225=394.  So (13,15) looks good!

(n,n+2)=(-15,-13)

(-15)^2+(-13)^2=225+169=394.  So (-15,-13) looks good!

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3 years ago
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