The Answer would be y=-3x
Answer:
Step-by-step explanation:
The genral form of a complex number in rectangular plane is expressed as z = x+iy
In polar coordinate, z =rcos ∅+irsin∅ where;
r is the modulus = √x²+y²
∅ is teh argument = arctan y/x
Given thr complex number z = 6+6√(3)i
r = √6²+(6√3)²
r = √36+108
r = √144
r = 12
∅ = arctan 6√3/6
∅ = arctan √3
∅ = 60°
In polar form, z = 12(cos60°+isin60°)
z = 12(cosπ/3+isinπ/3)
To get the fourth root of the equation, we will use the de moivres theorem; zⁿ = rⁿ(cosn∅+isinn∅)
z^1/4 = 12^1/4(cosπ/12+isinπ/12)
When n = 1;
z1 = 12^1/4(cosπ/3+isinn/3)
z1 = 12^1/4cis(π/3)
when n = 2;
z2 = 12^1/4(cos2π/3+isin2π/3)
z2 = 12^1/4cis(2π/3)
when n = 3;
z2 = 12^1/4(cosπ+isinπ)
z2 = 12^1/4cis(π)
when n = 4;
z2 = 12^1/4(cos4π/3+isin4π/3)
z2 = 12^1/4cis(4π/3)
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The time Natasha listens to the radio can be represented as 7 times five sixths, 35/6 or 5/6 + 5/6 + 5/6 + 5/6 + 5/6.
<h3>How to find out the time Natasha listens to the radio in one week?</h3>
- Time per day: 5/6 of an hour
- Time per week: 5/6 + 5/6 + 5/6 + 5/6 + 5/6 = 35/6
or 5/6 x 7 = 35/6
<h3>How to represent this?</h3>
There are three options:
- 5/6 + 5/6 + 5/6 + 5/6 + 5/6
- 35/6
- 5/6 x 7
Learn more about fractions in: brainly.com/question/10354322
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Answer:
The solution x = 
Step-by-step explanation:
<u>Step 1</u>:-
Given 
we have to use formula 
=
Again by using formula 
so 
<u>step 2:</u>-
The solution of given problem is 
