3 years ago

The solution of the following systems of equations is (x, y).

Mathematics

1 answer:

cupoosta [38]3 years ago

4 0

C) 18
the step is in the pict

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Solve this polynomial expression please.

Sedbober [7]

-9x^3 +54x^2 -30x +12

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3 years ago

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

Steve has at most $80 to spend at a store. He wants to buy a movie that costs $22. He also wants to buy DVDs that cost $7.00 eac

Degger [83]

Answer:

80 is less than or equal to 22+7x

8 DVDs

Step-by-step explanation:

I don't have the inequality signs sorry if you don't know its the symbol thats opening to the left with a line underneath

80 is less than or equal to 22+7x

subtract 22

58 is less than or equal to 7x

divide and flip the sign to the right

x is greater than or equal to 8.29

so he can buy 8 DVDs in total

5 0

3 years ago

How can I work this problem in adding integers with counters 5 + (-7)

Monica [59]

$\huge\mathsf\green{Answer}$

$5 + ( - 7) \\ 5 - 7 = - 2$

<h3>hope it would be helpful </h3>

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3 years ago

A mirror frame in the shape of an oval is shown below. The ends of the frame form semicircles: An oval is formed by a rectangle

Scrat [10]

It would be 192.78!!!

3 0

3 years ago

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