3 years ago

Can yall please help me

Mathematics

1 answer:

Andru [333]3 years ago

4 0

Yes because it goes up and back down

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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

3 years ago

Gradient of line AB (3,7) and (5,11)

larisa [96]

Answer:

Gradient is change in y over change in x.

gradient = y1-y2 ÷ x1-x2

=7-11 ÷ 3-5

=-4 ÷ -2

4 0

3 years ago

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The people in Mr. Kendrick's office drive 10, 3, 17, 1, 8, 6, 12, and 15 miles to work. Find the mean, median and range of the d

torisob [31]

Answer:

mean=9

median=9

range=16

6 0

2 years ago

Same thing as last. nearest 100th

bekas [8.4K]

Answer:

452.39 mi^2

Step-by-step explanation:

A = πr^2

A = π (12mi)^2

A = 452.39 mi^2

Please mark Brainliest :D

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Answer the question below anything will help plssss

vekshin1

C.) Add 5 more drops of blue food coloring and 1/2 teaspoon more of distilled vinegar

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