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QveST [7]
3 years ago
15

Trig: Which complex number's graph is shown?

Mathematics
1 answer:
Andrei [34K]3 years ago
3 0

ANSWER

2 \sqrt{2} ( \cos( \frac{7\pi}{4}   + i  \sin(  \frac{7\pi}{4} ) )

EXPLANATION

The complex number shown has coordinates (2,-2)

or

z = 2 - 2i

The modulus is

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

|z|  =  \sqrt{ 8} = 2 \sqrt{2}

The argument is

\theta= \tan^{ - 1} ( \frac{ - 2}{2} )

\theta= \tan^{ - 1} ( -1) =  \frac{7\pi}{4}

The polar form is

2 \sqrt{2} ( \cos( \frac{7\pi}{4}   + i  \sin(  \frac{7\pi}{4} ) )

The first option is correct.

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6.

y^2\sqrt[8]{8}

Step-by-step explanation:

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y^2\sqrt[8]{8}

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3.

4 0
3 years ago
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If x/2+ 7 = 4<br> , what is the value of 5x - 7?
horrorfan [7]

Answer:

-37

Step-by-step explanation:

for the first equation to equal 4 the x must equal -6.

because something plus 7 had to equal 4. and we know that -3 + 7 equals 4. Now, -6 ÷ 2 equals -3 and that gives us the right answer.

So now plug -6 into the new problem so now it is

5 × (-6) - 7 so according the PEMDAS, we do 5 × -6 first which is -30. and -30 - 7 equals -37!!

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5 0
2 years ago
A = (1, 3, 5, 7, 9)
iragen [17]

Answer:

AU(B n C)= (1,3,5,7,9,6)

Step-by-step explanation:

BnC= (6)

AU(Bn C)= (1,3,5,7,9)U(6)

A U(B n C)= (1,3,5,7,9,6)

5 0
3 years ago
Write RS in component form, with R(7, 8) and S(0,5),
german

Answer:

<-7,-3>

Step-by-step explanation:

To write RS in component form we need to know how far to move over horizontally and then how many to move vertically.

Since horizontal movement is the x values, we subtract the x values of R and S first.

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Since vertical movement is in the y values we subtract those next.

5 - 8 = -3

So written in component form we have <-7,-3>

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3 years ago
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