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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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D. The cosine function is odd [even], so it is symmetrical across the origin.   [false]</span>
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Two angles in a triangle measure (2.3x+25)° and (5.8x+11)°. what is the value of x if the two angles are congruent to one anothe
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The answer is D. x= 4

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Find the range of y = -3x + 7 for the domain {-8, -6, -3, -2, 2}
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The domain is the set of x-values of a function. The range is the set of y-values of a function.

You are told that the domain, or x-values, are -8, -6, -3, -2, and 2. To find the range, you just need to plug in each of the x-values into the function <span>y = -3x + 7 and find the value of y.
1) When x = -8:
</span><span>y = -3x + 7
y = -3(-8) + 7
y = 24 + 7
y = 31

2) When x = -6
</span>y = -3x + 7
y = -3(-6) + 7
y = 18 + 7
y = 25

3) When x = -3
y = -3x + 7
y = -3(-3) + 7
y = 9 + 7
y = 16

4) When x = -2
y = -3x + 7
y = -3(-2) + 7
y = 6 + 7
y = 13

5) When y = 2
y = -3x + 7
y = -3(2) + 7
y = -6 + 7
y = 1

The range is {31, 25, 16, 13, 1}.

-------

Answer: 
{31, 25, 16, 13, 1}
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