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Alenkinab [10]
3 years ago
14

Find the quotient of the complex numbers. Leave answer in polar form.

Mathematics
1 answer:
kirza4 [7]3 years ago
6 0
\dfrac{z_1}{z_2}=\dfrac{\sqrt3}{\sqrt6}\left(\cos\left(\dfrac{7\pi}4-\dfrac{9\pi}4\right)+i\sin\left(\dfrac{7\pi}4-\dfrac{9\pi}4\right)\right)
\dfrac{z_1}{z_2}=\sqrt2\left(\cos\left(-\dfrac{2\pi}4\right)+i\sin\left(-\dfrac{2\pi}4\right)\right)
\dfrac{z_1}{z_2}=\sqrt2\left(\cos\left(-\dfrac\pi2\right)+i\sin\left(-\dfrac\pi2\right)\right)
\dfrac{z_1}{z_2}=\sqrt2\left(\cos\dfrac{3\pi}2+i\sin\dfrac{3\pi}2\right)
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I need answers for this.
WARRIOR [948]

Answer:

18, 24, 8, 3

Step-by-step explanation:

8a = 42 - 18

8a = 24

a = 24 / 8

a = 3

To check, plug 3 into the equation

8(3) = 42-18

24 = 24

7 0
3 years ago
Read 2 more answers
a bird of species a when diving can travel four times as fast as a bird of species b top speed if the total speeds of these two
weeeeeb [17]
X will be the speed of species b and 4x will be the speed of species a:

x + 4x = 180
5x = 180
x = 180 / 5
x = 36 m/h

If species b has a speed of 36 m/h, the speed of species a is 4 times that:

4 x 36 = 144 m/h.


Answer:

\boxed {\bf A~=~36~m/h~and~B~=~144~m/h}


Hope it helped,

Happy homework/ study/ exam!
4 0
3 years ago
Please simplify: 5x + 2 (x - 3) = -2 (x - 1)
zysi [14]

Answer:

x= 8/9

Step-by-step explanation:

Open everything up to get 5x+2x-6=-2x+2. Move numbers with an x to the left side and without to the right to have 5x+2x+2x=2+6. Simplify to have 9x=8. Divide by 9 which leaves you with x= 8/9

3 0
3 years ago
The radius of a sphere is increasing at a rate of 2 mm/s. How fast is the volume increasing when the diameter is 80 mm? Evaluate
Komok [63]
Well, if it is increasing at a fixed rate of 2 mm/s, then the volume would still be increasing at a rate of 2 mm/s when the diameter is 80 mm, if I understand your question correctly.
7 0
4 years ago
One part of 10 equal parts of a whole is<br> called a
galina1969 [7]

Answer:

tenth

Step-by-step explanation:

4 0
3 years ago
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