2 years ago

Does anyone know the answer to this is is very important!!

Mathematics

1 answer:

harkovskaia [24]2 years ago

7 0

Answer:

equilateral

Step-by-step explanation:

or equiangular

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Find the complex fourth roots \[-\sqrt{3}+\iota \] in polar form.

____ [38]

Let $z=-\sqrt3+i$ . Then

$|z|=\sqrt{(-\sqrt3)^2+1^2}=2$

$z$ lies in the second quadrant, so

$\arg z=\pi+\tan^{-1}\left(-\dfrac1{\sqrt3}\right)=\dfrac{5\pi}6$

So we have

$z=2e^{i5\pi/6}$

and the fourth roots of $z$ are

$2^{1/4}e^{i(5\pi/6+k\pi)/4}$

where $k\in\{0,1,2,3\}$ . In particular, they are

$2^{1/4}e^{i(5\pi/6)/4}=2^{1/4}e^{i5\pi/24}$

$2^{1/4}e^{i(5\pi/6+2\pi)/4}=2^{1/4}e^{i17\pi/24}$

$2^{1/4}e^{i(5\pi/6+4\pi)/4}=2^{1/4}e^{i29\pi/24}$

$2^{1/4}e^{i(5\pi/6+6\pi)/4}=2^{1/4}e^{i41\pi/24}$

7 0

2 years ago

Julie is a math tutor. She charges each student $210 for the first 7 hours of tutoring and $20 for each additional hour.

Maksim231197 [3]

She spent 17 hours tutoring

$210 = 7 hours

$20 x 10 hours = $200

$210 + $200 = $410
7 Hours + 10 Hours = 17 Hours

8 0

2 years ago

Read 2 more answers

I need help againnnnn

JulijaS [17]

Hope this helps again! :)

6 0

3 years ago

Help me I dont understand ittt

stepan [7]

It’s a. vertex is the lowest or highest point so (1,-8) x-intercepts is where the parabola hits the x axis so (-1,0) and (3,0)

8 0

3 years ago

Work out the percentage change when a price of £80 is increased to £100.

Mars2501 [29]

Answer:

125%

Step-by-step explanation:

80/100=8

80*x=100

100/80=1.25

1.25*100=125

x=125%

3 0

3 years ago