Solve the following complex equation

18+22i=3x-2yi

Answers

Answer 1

Answer:

[tex]this \: a \: complex \: equation \: so \: compare \\ \: real \: term \: and \: imaginary \: term \\ so \\ 18 = 3x \: \: and \: 22i = - 2yi \\ x = \frac{18}{3} \: \: \: \: and \: y = \frac{22i}{ - 2i} \\ x = 6 \: \: \: y = - 11 \\ then \: 6 \times 3 - - 2 \times 11i \\ = 18 + 22i \\ thank \: you[/tex]


Related Questions

please help me on questions 19-21 using this diagram attached
and no links
and only 19-21

Have a good day!!

Answers

Vas happenin!!

19. TX
20. O and I can’t see the other bottom of the cube
21. WS
Hope this helps *smiles*
Sorry if it’s wrong

Solve. x/8 + 2 = 27

Answers

x/8+2=27
Multiply 8 to both sides:
x+16=216
Subtract 16 to both sides:
x=200

one third of a number plus 6 is 12

Answers

I think it’d be 2? You think about this and see if you agree. 6+6 is 12 and 1/3 of 6 is 2. Therefore I think the answer would be 2

Which numbers are 9 units from −5 on this number line?

Drag and drop the two numbers that are 9 units from −5 to their correct position on the number line.

Answers

Answer:

4 and -14

Step-by-step explanation:

easily compute by -5+9 and -5-9 (9 is 9 units far from -5)

-5+9= 4-5-9= -14

Simplify the following expression into a fraction with no exponents. Write your answer in the form a/b.
4^-4

Answers

Answer:

1/256

Step-by-step explanation:

4^-4

~Use negative exponent rule [ a^-b = 1/a^b ]

1/4^4

1/256

Best of Luck!

. Cathy is playing a game with a set of 52 cards. The cards are different
colors and each show a number.
• The probability of randomly selecting a black card is.
• The probability of randomly selecting a red card is.
If Cathy randomly selects a card, what is the probability that her card is
black OR red?

Answers

Answer:

something missing here... is this a regular deck of cards Hearts, spades, clubs , and diamonds ? 1/2 red and 1/2 black ... if so....

then.....

P(black) = .5

P(red) = .5

P(red or black) = 1 (100%)

Step-by-step explanation:

A milk hauler picked up the following amounts of milk from three dairy farmers: 4,638
pounds; 6,209 pounds; and 5,206 pounds. What total weight of milk was in the tanker?

Answers

the total weight of milk was 16653 pounds

6 + 4w = 2w − 6
Solve for W

Answers

Answer: w= -6

When we subtract 2w from both sides we get 2w on the left and 0 on the right. The equation becomes 6+2w=-6. Then we subtract both sides by 6 making it 2w=-12 and when we divide each side by 2 we get w=-6

Answer:

W=-6

Step-by-step explanation:

6+4w=2w-6

Collect Terms

4w-2w=-6-6

2w=-12

now divide both sides by 2

2w/2=-12/2

w=-6

NEED HELP WITH THIS ASAP

Answers

Answer:

D

Step-by-step explanation:

f(x) = x^3 + 2x^2 + 4 for x<0

2^x - 4 for x >0

100 POINTS PLS HELP!!!!!!!!!!!
Simplify the expression. 3 + 22 5 7 10 25

Answers

Answer:

25

Step-by-step explanation:

3+22=25

Im guessing this was a joke question but idc answered anyways

Answer:

The answer is 25

Step-by-step explanation:

3 + 22 = 25

√ 9 + √ 2 is it rational?

Answers

Answer:

NO ! IT ISN'T

THANK YOU !!

find the length indicated. ​

Answers

Answer:

none

Step-by-step explanation:

find the HCF
eg. first expression = 4a -8
=4(a-2)

Answers

Answer:

Step-by-step explanation:

ab² + 2a²b + a³ = a(b² + 2ab + a²)

Here variable 'a' is common in all the terms. HCF = a

2) 2ab² = 2 * a * b *b

   4a²b = 2 * 2 *a * a * b

6a³        = 2 * 3 * a * a * a

HCF = 2a

2ab² - 4a²b - 6a³ = 2a(b² - 2ab - 3a²)

barbara and jeff ate out for dinner the total came to &15.00. they left a 15% tip how much was the tip and the meal together?

Answers

Answer:

$17.25

Step-by-step explanation:

The tip is 15% of $15.00, or 0.15 * 15 = $2.25

We add that to the meal's cost, which is $15.00

15.00 + 2.25 = 17.25

Translate the sentence into an inequality

The Product of c and 6 is at least 27

Answers

Answer:

[tex]6c \geqslant 27 \\ thank \: you[/tex]

Hey there!

The answer is:

[tex]c.6 \: \geqslant 27[/tex]

Hope it help you

Anybody good in math and wanna help me on #1 or 2?

Answers

Answer:

#1 all real numbers except 0 and 3

#2 the first option

-3x cubed equals -81

Answers

Answer:

(-3x)³ = -81x³

so answer wud be -81x cubed

Findi the value of x

Answers

Answer:

By Pythagoras theorem ,

H^2 = P^2 + B^2

H^2 = 4^2 + 3^2

H^2 = 16 + 9

H^2 = 25

H = 5

therefore , value of x = 5

hope that helps uh..

Answer:

x = 5

Step-by-step explanation:

Since it's a right triangle, you can use Pythagorean Theorem.

[tex]a^2+b^2=c^2\\3^2+4^2=x^2\\9+16=x^2\\25=x^2\\5=x[/tex]

The factorization of a (x + y + z) + b(x + y + z) + c(x + y + z) is

(≧▽≦)( ◜‿◝ )♡​
no spamming symbol​

Answers

Answer:

(a+b+c)(x+y+z)

Step-by-step explanation:

If b is the midpoint of ac
Ab = 2x and ac = 5x + 8
Find bc

Answers

Answer:

3x+8

Step-by-step explanation:

2x+bc=5x+8

bc=5x-2x+8

bc=3x+8

A rectangle has a height of 5% and a width of 2 + 2.
Express the area of the entire rectangle.
Expression should be expanded.
2
2
w
5.2

Answers

Answer:

A rectangle has a height of 5 and a width of x² + 2

To find out:

Express the area of the emotive rectangle?

Formula used:

Area of rectangle = Length × Breadth.

Solutions:

Length = 5 and Breadth = x² + 2

We know that:

Area of rectangle = Length × Breadth.

Substitution the value of Length × Breadth.

= 5 × (x² + 2)

= 5x² + 10

Hence, the area of the emotive rectangle is 5x² + 10

Additional informational:

•Monomials: expressions with single terms are called monomials.

• Binomial: expressions with two terms are called binomials.

• Trinomial: expressions with 3 terms is called trinomial.

• Multinational: expression with Tu are mo terms are called Multinational.

Select all expressions that are equivalent to x2 - 4x - 32.
(x - 16)(x + 2)
(x + 2)(x - 16)
(x - 8)(x + 4)
(30+8)(x – 4)
(x + 4)(x - 8)
(x – 4)(x + 8)

Answers

Answer:

(x - 8)(x + 4)

(x + 4)(x - 8)

Step-by-step explanation:

(x - 16)(x + 2)

= x2 + 2x - 16x - 32

= x2 - 14x - 32

(x + 2)(x - 16)

= x2 - 16x + 2x - 32

= x2 - 14x - 32

(x - 8)(x + 4)

x - 8)(x + 4) = x2 + 4x - 8x - 32

x - 8)(x + 4) = x2 + 4x - 8x - 32 = x2 - 4x - 32

( 30 + x)(x - 4)

= 30x - 120 + x2 - 4x

= x2 + 26x - 120

(x + 4)(x - 8)

(x + 4)(x - 8) = x2 - 8x + 4x - 32

(x + 4)(x - 8) = x2 - 8x + 4x - 32 = x2 - 4x - 32

(x - 4)(x + 8)

= x2 + 8x - 4x - 32

= x2 + 4x - 32

Use the following function to find r(0) r(x)=-x+1

Answers

Answer:

If r(x) = -x+1

then,

r(0) = -(0) + 1

=1

RJ trips over his shoe laces every 15 steps. Matthew says "gottem" every 6
seconds. If the boys both start walking down the hall at the same time,
how many seconds will pass before RJ trips & Matthew says "gottem" at
the same time? *

Answers

Answer:

69 seconds, or 1 minute and 9 seconds

Step-by-step explanation:

how many integers are between 4/3 and 26/5

Answers

Answer:

4 integers

Step-by-step explanation:

4/3=1.33 and 26/5=5.2

The integers lying between these two rationals are 2, 3, 4 and 5.

If l=5 and b=3 ,find the values of L*B

Answers

Answer:

The value of L×B is 15

Step-by-step explanation:

L×B

5×3

15

Answer:15

Step-by-step explanation:

-3 5/9 as a fraction

Answers

Answer:

-22/9

Step-by-step explanation:

100 POINTS! PLEASE ANSWER ONLY IF YOU KNOW
Find the probability of “landing” in the shaded region of the figures below. Round your answer to the nearest hundredth.

Answers

Answer:

#4

Area of rectangle:

A = lw = 10*20 = 200 m²

Shaded area:

A = 2πr² = 2π(10/2)² = 157.079 m²

Probability:

P = 157.079/200 ≈ 0.785 or 78.5%#5

Area of bigger circle:

A = πr² = π(20)² = 1256.637 m²

Shaded area:

A = π(10² - 5²) = 235.619 m²

Probability:

P = 235.619/1256.637 ≈ 0.187 or 18.7%

Answer:

4

We know that

Area of rectangle = lb

Area = 10(20)

Area = 200 m²

Shaded region = πr²

=> 2 × 22/7 × (10/2)²

=> 2 × 22/7 × 10/4

=> 157 m²

Probability = 157/200 = 78.5%

5.

Area of the biggest circle = πr²

= 22/7 × (20)²

= 1256.6

Area of shaded region

π(10² - 5²)

π(100 - 25)

3.14(75)

235.6

Probability = 235.6/1256.6 = 18.7%

The line passing through points (5,) and (2,−3) is parallel to a line with a slope of 4/3. What is the value of y?

Answers

Answer:

Step-by-step explanation:

Parallel lines have same slope

Slope = [tex]\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

[tex]\dfrac{-3-y}{2-5}=\dfrac{4}{3}\\\\\\\dfrac{-3-y}{-3}=\dfrac{4}{3}\\\\\\-3-y=\dfrac{4}{3}*(-3)\\\\\\[/tex]

-3-y = 4*(-1)

-3 - y = -4

- y = - 4 + 3

-y = -1

Divide both sides by (-1)

y = 1

8a=4(a-9)
Show work I need help

Answers

Answer:

a = -9

Step-by-step explanation:

8a=4(a-9)

Divide each side by 4

8a/4=4(a-9)/4

2a = a-9

Subtract a from each side

2a-a = a-9-a

a = -9

Answer:

-9

Step-by-step explanation:

8a = 4(a-9)

Use the distributive property (Multiply 4 times a, and 4 times -9)

8a = 4a - 36

Bring the 4a to the other side

8a - 4a = -36

Add like terms

4a = -36

Divide both sides by 4 to get a by itself

a = -9

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