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3 years ago

When you multiply two complex numbers in polar form, what happens to the angles?

Mathematics

1 answer:

prisoha [69]3 years ago

6 0

The angles get added.

Let z = r exp(i θ) and w = s exp(i φ). Then

zw = rs exp(i θ) exp(i φ) = rs exp(i (θ + φ))

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If y = 8x − 2, which of the following sets represents possible inputs and outputs of the function, represented as ordered pairs?

Nataly [62]

You just need to try with all of the pair f.ex
0,-2 -> put 0 in the x-> y=8*0-2=-2 so ok it is q possible pair of the function..
You try every pair till you find set where all the pairs fit
So set 1
1 and 6: 8*1-2=6 ok
2 and 14 : 8*2-2=14 ok
Hope I could help

6 0

3 years ago

Read 2 more answers

PLEASE HELP!!!!!

nasty-shy [4]

The total charge would be $445.

Hope this helps!!

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3 years ago

What’s 7,040 divide by 3 using long division

gizmo_the_mogwai [7]

Answer:

Dividing 7,040 by 3 using long division method it gives the quotient 2346 and the remainder 2.

Step-by-step explanation:

Given:

7,040 divide by 3 using long division.

Now, to divide using long division method:

Step 1: Divide 7 by 3. 3 x 2 =6.

So, 1 will be remainder.

Step 2: Bring 0 down next to 1. So, now the new number is 10 .

Divide 10 by 3. 3 x 3 = 9.

Remainder is 1

So, quotient is 23 till now.

Step 3: Bring 4 down next to 1. The number is now 14.

Divide 14 by 3. 3 x 4 = 12.

Thus, remainder is 2.

Step 4: Bring 0 next to 2. Getting the new number 20.

So, divide 20 by 3. 3 x 6 = 18.

Thus, the remainder is 2.

So, the quotient is 2346.

And the remainder is 2.

Therefore, dividing 7,040 by 3 using long division method it gives the quotient 2346 and the remainder 2.

3 0

3 years ago

Read 2 more answers

Solve equations show all steps 1. 2x-10=44+8x 2. 7x-4=20=3x 3. 2(x-3)=-20 4. 15-4x+5=32

Inga [223]

Answer:

2x - 10 = 44 + 8x

7x - 4 = 20 =3x

2(x-3) = -20

15 - 4x + 5 = 32

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

2*x-10-(44+8*x)=0

Pull out like factors :

-6x - 54 = -6 • (x + 9)

-6 = 0

Solve : x+9 = 0

Subtract 9 from both sides of the equation :

x = -9

Move all terms containing

to the left side of the equation.

−

Move all terms not containing

to the right side of the equation.

divide each term by 4

x = 6

2(x−3)=−20

Step 1: Simplify both sides of the equation.

2(x−3)=−20

2x−6=−20

Step 2: Add 6 to both sides.

2x−6+6=−20+6

2x=−14

Step 3: Divide both sides by 2.

−14

x=−7

−4x+20=32

Step 2: Subtract 20 from both sides.

−4x+20−20=32−20

−4x=12

Step 3: Divide both sides by -4.

−4x

−4

x=−3

4 0

3 years ago

What is it then please

nalin [4]

a) because the denominators are the same add the numerators:

1 1/5 + 3 2/5 = 4 3/5

b) rewrite the fractions to have a common denominator:

1/2 = 3/6

1/3 = 2/6

Now subtract:

4 3/6 - 1 2/6 = 3 1/6

6 0

3 years ago

Read 2 more answers