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Sophie [7]
3 years ago
5

Express the complex number z = -4+3i in polar form: r(cos⁡(θ)+i sin(θ)).

Mathematics
1 answer:
kirill [66]3 years ago
8 0

Answer:

5( cos(- 0.64)+i sin(-0.64))

Step-by-step explanation:

Given:

z = -4+3i

r=\sqrt{(-4)^2+3^2}= 5

θ=tan^-^1(\frac{3}{-4} ) =  -0.64

Polar form=r(cosθ+i sinθ)=> 5( cos(- 0.64)+i sin(-0.64))

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Answer:

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Answer:

1. X axis, 8, 3

2. Y axis, 4,-9

Step-by-step explanation:

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The rule for x-axis reflection is (x,-y)

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For the first one, x has remained the same, so that means it’s a x-axis reflection.

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Anton [14]

Answer:

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Step-by-step explanation:

Simplifying

-2(n + 3) + -4 = 8

Reorder the terms:

-2(3 + n) + -4 = 8

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Reorder the terms:

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Combine like terms: -6 + -4 = -10

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Solving

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Solving for variable 'n'.

Move all terms containing n to the left, all other terms to the right.

Add '10' to each side of the equation.

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-2n = 8 + 10

Combine like terms: 8 + 10 = 18

-2n = 18

Divide each side by '-2'.

n = -9

Simplifying

n = -9

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3 years ago
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Step-by-step explanation:

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