What are the values of x and y if this equation is true?

22(x + yi) + (28 + 4i) 72 – 62i

Answers

Answer 1

Answer:

x = 2

y = -3

Step-by-step explanation:

The given equation is,

22(x + yi) + (28 + 4i) = 72 - 62i

By solving this equation further,

22x + 22yi + 28 + 4i = 72 - 62i

(22x + 28) + (22y + 4)i = 72 - 62i

Now both the sides of the equation is in the form of complex number,

By comparing real and imaginary parts given on both the sides,

22x + 28 = 72

22x = 72 - 28

22x = 44

x = 2

22y + 4 = -62

22y = -62 - 4

22y = -66

y = -3

Therefore, x = 2 and y = -3 are the values for which the given equation is true.


Related Questions

Use a proportion to find each value.
a. 2% of 180
b. What percent is 17 out of 40

please help me!

Answers

Answer:

a. 3.6

b. 42.5%

Step-by-step explanation:

a. 180/100 = 1.8

1.8 times 2 (since it's 2%) gives us 3.6

B. 17/40 is 42.5

The value of 2% of 180 is 3.6.

The percent of 17 out of 40 is 42.50%.

Percentage can be described as a fraction out of an amount expressed as a number out of hundred. Percentages are represented with %.

In order to determine the value of 2% of 180, multiply 2/100 by 180.

2/100 x 180 = 3.6

In order to determine the percent of 17 out of 40, divide 17 by 40 and multiply by 100

(17/40) x 100 = 42.50%

To learn more about percentages, please check: https://brainly.com/question/25764815

URGENT: Solve the following: (5x10^9)x(7x10^5)
A. 3.5 x 10^14
B. 3.5 x 10^15
C. 3.5 x 10^5
D. 3.5 x 10^4

Answers

the answer is b. hope this helped :)

[tex]5 \times {10}^{9} \times 7 \times {10}^{5} = [/tex]

[tex]35 \times {10}^{14} = [/tex]

[tex]3.5 \times 10 \times {10}^{14} = [/tex]

[tex]3.5 \times {10}^{15} [/tex]

And we're done....

♥️♥️♥️♥️♥️

What is the numerical coefficient of the a^4 b^4 term in the expansion of (1/3a^2 - 2b)^6

enter your answer, in the simplest fractional form, in the box​

Answers

Use the binomial theorem:

[tex]\left(\dfrac13a^2-2b\right)^6=\displaystyle\sum_{k=0}^6\binom6k\left(\dfrac13a^2\right)^{6-k}(-2b)^k=\sum_{k=0}^6\binom6k\dfrac{(-6)^k}{729}a^{12-2k}b^k[/tex]

where

[tex]\dbinom nk=\dfrac{n!}{k!(n-k)!}[/tex]

is the binomial coefficient.

We get the ab⁴ term when k = 4, which gives the coefficient

[tex]\dbinom64\dfrac{(-6)^4}{729}=\boxed{\dfrac{80}3}[/tex]

Must help please anyone .

Answers

The side lines all line up so they are congruent

If you were to buy 3 1/8 pounds of ham from the deli counter, the digital scale would show

Answers

Answer:

3.125 pounds

Step-by-step explanation:

Digital scale would show weights in decimal form

3 1/8 = 3.125 pounds

9. Ricardo bought a pair of shoes for $55.60 and a hat for $9.78. How much did he spend in all? If he paid with 4 twenty- dollar bills, how much change did he get?




please help me!!! I'll mark brainiest!​

Answers

the answer would be $14.62

Answer:

$65.38 and $14.65 change

Step-by-step explanation:

Hi, I need help with this equation

[tex]9^7/9^n = 9^2[/tex]

what is the value of n?
Will give brainliest to accurate answer.

Answers

N=5 cross multiply to get the variable on its own.

If p varies directly as
the cube of q, and p =
26 when q = 2, find p
when q = 5

Answers

Answer:

The value of p at q = 5 is 406.25

Step-by-step explanation:

p varies directly as the cube of q

→ That means p ∝ q³

The equation of variation is p = kq³, where k is the constant of variation

∵ p = 26 when q = 2

→ Use them to find the value of k

∵ 26 = k(2)³

∴ 26 = k(8)

∴ 26 = 8k

→ Divide both sides by 8

∴ [tex]\frac{26}{8}=\frac{k}{8}[/tex]

3.25 = k

→ Substitute it in the equation of variation

p = 3.25 q³ ⇒ equation of variation

q = 5

→ Substitute it in the equation of variation to find p

∴ p = 3.25 (5)³

p = 406.25

The value of p at q = 5 is 406.25

3 bananas cost 0.99 how much do 8 bananas cost

Answers

Answer:

$2.64

Step-by-step explanation:

find how much one banana is worth by dividing .99 by 3

.99/3 - .33 per banana.

Multiply 8 by the price per banana to get the total price.

8x.33 = 2.64

hope this helps

Answer:

$2.64

Step-by-step explanation:

.99/3 = .33

.33*8 = 2.64

start a convo and make friends cause why not​

Answers

Answer:

yeeseesss..........

Which table represents a linear function?

Answers

Answer:

1. -3

2. -5

3. -7

4. -9

help plsss .....!!!!

Answers

Answer:

p=-7

Step-by-step explanation:

30+6p=7(p+6)-5

30+6p=7p+42-5

30+6p=7p+37

6p-7p=37-30

-1p=7

p=-7

In eight minutes josh was able to type 496 words what’s he typing speed per minute

Answers

Answer: 62 words per minute.

Step-by-step explanation: 496/8=62.

Answer:

62 words per minute

Step-by-step explanation:

divide 496 and 8

9(x+3)=4x-3
plz show steps

Answers

Answer:

-6

Step-by-step explanation:

9x+27=4x-3

9x-4x=-3-27

5x=-30

x=-6

LEASE HELP ME WITH THESE 3 QUESTIONS, DUE NOW! WILL GIVE BRAINLIST
QUESTIONS:

1. The seventh grade class held an end of the year dance. Of the 300 seventh graders, 246 decided to attend. What percent of the seventh grade class attended the end of the year dance? *
A. 1.12%
B. 85%
C. 82%

2. A farmer decides to sell 32 pounds of his small 96-pound potato crop. What percent of the crop did he sell? *
A. 33%
B. 30%
C. 3%

3. Tolu is reading a new novel. He has read 173 out of 480 pages. About what percent of the book has he read? *
A. 33%
B. 36%
C. 35%
D. 28%

Answers

Answer:

1. (246÷300)100

=82٪

2.(32÷96)100

= 33٪

3.(173÷480)100

= 36٪

Rewrite in simplest terms: -7(10p-10)+3(-6p-6)

Answers

Answer:

−88p + 52

Step-by-step explanation:

There are 90 people in a group.
A sixth of the people in the group are men.
The number of women in the group is 2 times the number of men in the group
The rest of the people in the group are children.
the number of children in the group : the number of men in the group = n: 1
Work out the value of n.
You must show how you get your answer.

Answers

Answer:

n=3

Step-by-step explanation:

90×1/6=15 men

15*2=30 women

90-15-30=45 children

45 children: 15 men

3:1 ratio of children to men

n=3

evaluate 24−8x when x=−2

Answers

Your answer is gonna be 8

Answer:

8

Step-by-step explanation:

8

Write an equation of the line passing through point P(4, -6) that is perpindicular to the line y= -3.​

Answers

Answer: y=1/3x - 22/3

Step-by-step explanation:

1. Two eighth grade classes are selling tickets to raise money for their school fundraiser.
• One class is selling tickets for $3.50 each and has already raised $250.
• The other class is selling tickets for $2.25 each and has already raised $300.
How many tickets does each class have to sell so that the total amount raised is the
same for both classes?

Answers

Answer:

once upon a time i was looking for this answer and i couldnt find it here so for future generations i will help yall and the answer is 40           ITS 40

Step-by-step explanation:

peace

Find the area of the small rectangle. 2x + 3 x + 6 x - 5

Answers

Answer:

11x-5

Step-by-step explanation:

Given the following function, find f(-4), f(0), and f(4).
f(x) = x + 2

f(-4)=
f(0) =
f(4)=

Answers

Answer:

-2, 2, 6

Step-by-step explanation:

f(-4)= -4+2=-2

f(0)=0+2=2

f(4)=4+2=6

Substitute x for the number in parentheses

The values of f(-4), f(0), and f(4) are -2, 2, and 6 after plugging the value of x: -4, 0, and 4.

What is a function?

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

It is given that:

The function f(x) = x + 2

To find the value of f(-4):

Plug x = -4 in the function:

f(-4) = -4 + 2 = -2

To find the value of f(0):

Plug x = 0 in the function:

f(0) = 0 + 2 = 2

To find the value of f(4):

Plug x = 4 in the function:

f(4) = 4 + 2 = 6

Thus, the values of f(-4), f(0), and f(4) are -2, 2, and 6 after plugging the value of x: -4, 0, and 4.

Learn more about the function here:

brainly.com/question/5245372

#SPJ2

HELLLPPPPPPPPP!!!!!!!!!!!!!!!!!!!! PLZZZZZZZ!!!!!!!!!!!!!!!!!!!!!!!! I BEG OF YOU! I NEED THE ANSWERS TO ALL OF THESE! ToT

Answers

Answer:

 6c²-11c (if u need it simplifed more lmk)   4z+3e+5  distributive 3rd one

Step-by-step explanation:

please give me brainliest

Answer:

1.) 6c^(2)-11c

Step-by-step explanation:

2.) 4z+3e+5

5.) x-3

I am not to sure on question 4

What is the value of
1.6x1094
32x107
in scientific notation?
07.5x100
5.0x10
5.0x100
0.5x10?
I need help

Answers

Answer:

1.6×1094=1,750.4

32x107 =3,424

in scientific notation

07.5×100=7.50 ×10²

5.0×10 =0.5×10²

5.0×100 =0.050×10³

0.5×10? = 0.05×10²

f(x)= -3/4x+6

Find the inverse I need help pretty bad please help!!

Answers

Answer:

f⁻¹(x)= - 4x/3 +8

Step-by-step explanation:

Answer:

x=8

Step-by-step explanation:

0.75 (6+d)=12 step by steP

Answers

Answer:

Step-by-step explanation:

step 1:  0.75 x 6 = 4.5

step 2:   0.75 x d = 0.75d

step 3:    4.5 + 0.75d = 5.25d

It's correct answer

is -√9 an irrational or rational number?

please help!​

Answers

Answer:

no it is not

Step-by-step explanation:

Answer:

Irrational Number

Step-by-step explanation:

Irrational number: A number that can't be written as a fraction.

- Non Recurring numbers, and non terminating numbers fall into the irrational category

 

ASAP WILL GOVE BRAINLIEST FO YOU EXPLAIN AND GIVE ME ANSWER ASAP

Answers

Answer:

[tex]105 \frac{3}{10}[/tex], so most likely G

Step-by-step explanation:

[tex]105.3=105.30=105 \frac{30}{100} =105\frac{3}{10}[/tex]

First, we convert to a fraction. Then, we simplify.

Solve the following system of equations. y + 5x = 30 2y = 5x + 15

Answers

Answer: Solve   2y-5x-30  = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line  2y-5x-30  = 0 and calculate its properties

Step-by-step explanation:

Answer:

x = 3, y = 15

Step-by-step explanation:

Given the 2 equations

y + 5x = 30 → (1)

2y = 5x + 15 → (2)

Subtract 5x from both sides in (1)

y = 30 - 5x → (3)

Substitute y = 30 - 5x into (2)

2(30 - 5x) = 5x + 15 ← distribute left side

60 - 10x = 5x + 15 ( subtract 5x from both sides )

60 - 15x = 15 ( subtract 60 from both sides )

- 15x = - 45 ( divide both sides by - 15 )

x = 3

Substitute x = 3 into (3) for corresponding value of y

y = 30 - 5(3) = 30 - 15 = 15

Thus solution is x = 3, y = 15

I need help with this, I´ĹL GIVE THE FIRST ANSWER BRAINLIEST

Answers

The first answer! jk will answer

The answer is 106.02, why? because CXP is virtually the same as SYD. Pls Brainliest! It would mean a lot! ;)

Answer:

I think it's C... Hi

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