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3 years ago

What is the imaginary part of z?

Mathematics

1 answer:

Shkiper50 [21]3 years ago

8 0

Answer:

The imaginary part is the multiple of i. It is common practice to use the letter z to stand for a complex number and write z = a + bi where a is the real part and b is the imaginary part. where a is the real part and b is the imaginary part.

Step-by-step explanation:

You can easily check that a complex number z = x + yi times its conjugate x – yi is the square of its absolute value |z|2. Therefore, 1/z is the conjugate of z divided by the square of its absolute value |z|2.

Complex numbers A complex number z is defined as an ordered pair z = (x, y), where x and y are a pair of real numbers.

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Translation of the length of a rectangle is 2 feet greater than twice its width. If the perimeter is 25 feet, fine the width

blsea [12.9K]

Answer:

Step-by-step explanation:

Perimeter of a rectangle=(length+width)×2

Let W=x, L=2x+2

25=[(2x+2)+x]×2

25=[2x+2+x]×2

Solve for x

25/2=3x+2

25/2-2=3x

25-4/2=3x

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3 years ago

Y=1/2x+3<br> -x+27=-6 <br><br> solve using substitution

Nat2105 [25]

Answer:

y= 19.5 x=33

Step-by-step explanation:

-x + 27= -6

(subtract 27 on both sides)

-x= -33

(divide by negative 1 on both sides)

x= 33

(substitute x into the first equation)

y= 1/2x + 3

y= 1/2(33) +3

y= 16.5 +3

y= 19.5

hope this helps :))

3 0

3 years ago

I need help with this problem

Arada [10]

Answer:

65.56°

Step-by-step explanation:

We know that if we take dot product of two vectors then it is equal to the product of magnitudes of the vectors and cosine of the angle between them

That is let p and q be any two vectors and A be the angle between them

So, p·q=|p|*|q|*cosA

⇒ $cosA=\frac{u.v}{|u||v|}$

Given u=-8i-3j and v=-8i+8j

$|u|=\sqrt{(-8)^{2}+ (-3)^{2}} =8.544$

$|v|=\sqrt{(-8)^{2}+ (8)^{2}} =11.3137$

let A be angle before u and v

therefore, $cosA=\frac{u.v}{|u||v|}=\frac{(-8)*(-8)+(-3)*(8)}{8.544*11.3137} =\frac{40}{96.664}$

⇒ $A=arccos(\frac{40}{96.664} )=arccos(0.4138 )=65.56$

Therefore angle between u and v is 65.56°

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3 years ago

What is the value of x if e3x+6=8

goldfiish [28.3K]

Answer:

x = 1/3 ln(2)

Step-by-step explanation:

e^(3x)+6=8

Subtract 6 from each side

e^(3x)+6-6=8-6

e^(3x) = 2

Take the natural log of each side

ln (e ^3x) = ln (2)

3x = ln(2)

Divide by 3

3x/3 = 1/3 ln(2)

x = 1/3 ln(2)

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3 years ago

Read 2 more answers

a company uses two vans to transport workers from a free parking lot to the workplace between 7 and 9 a.m. One can has 14 more s

Fiesta28 [93]

Y = x + 14 (the larger bus has 14 more seats)
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3x = 51
x = 17 seat (smaller)
y = 31 seat (larger)

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3 years ago