Find the values of x and y that satisfy the equation –21 + 5yi = 7x – 10i.

Answers

Answer 1

Answer:

The values of x and y are x = -3 and y = -2

Step-by-step explanation:

In the complex numbers if a + bi = c + di, then the real parts are equal and the imaginary parts are equal

a = cb = d

Let us use this rule to solve the question

∵ -21 + 5yi = 7x - 10i

∴ The real parts are -21 and 7x

∴ The imaginary parts are 5y and -10

∵ The real parts are equal

7x = -21

→ Divide both sides by 7

∴ [tex]\frac{7x}{7}[/tex] = [tex]\frac{-21}{7}[/tex]

x = -3

∵ The imaginary parts are equal

5y = -10

→ Divide both sides by 5

∴ [tex]\frac{5y}{5}[/tex] = [tex]\frac{-10}{5}[/tex]

y = -2

The values of x and y are x = -3 and y = -2


Related Questions

Okay I pick the answer parallels, was I correct?

Answers

Answer:

yes you were

Step-by-step explanation:

Answer:

Nope the answer should be perpendicular!

Step-by-step explanation:

Hope this helps!! Please consider marking brainliest! Have a good one!!

When exercising Alison Berns 120 cal every 15 minutes how many calories does Allison burn during 75 minutes

Answers

120x75=9000

Hope this helps

How is pH and hydronium concentration related?


Please help I am so confused

Answers

The overall concentration of hydrogen ions is inversely related to its pH and can be measured on the pH scale Therefore, the more hydrogen ions present, the lower the pH; conversely, the fewer hydrogen ions, the higher the pH.

If the hydronium concentration increases, the pH decreases, causing the solution to

become more acidic. This happens when an acid is introduced. As H+ ions dissociate from the acid and bond with water, they form hydronium ions, thus increasing the hydronium concentration of the solution

what is the slope of this? HELP PLS

Answers

1/3 that’s the answer because the two is 3 squares away

Laura paid 9.35 for 3.4 pounds of ground beef. How much does one pound of ground beef cost?

Answers

Answer:

One pound of ground beef costs $2.75.

Step-by-step explanation:

To solve this you want to divide both numbers by 3.4 this is because you want to find out much the ground beef costs per 1 pound and 3.4 / 3.4 = 1. Additionally, what you do to one side you must do to the other!

3.4 / 3.4 = 1

9.35 / 3.4 = 2.75

One pound of ground beef costs $2.75.

HURRY!!!! PLS NEED AWMSER IN CLASS I CAN PICK THEM DOWN BELOW

Answers

Answer:

9. 7/2

10. -6

Step-by-step explanation:

I need help with graphing this.​

Answers

Here, I graphed it for you:


The Lopez Family meets with a financial planner who advises them to save 15% of their income
per month for college savings for their children. They earn $8,540 per month. How much will
the Lopez family save each month for future college expenses?

Answers

Answer:

$1281

Step-by-step explanation:

[tex]8540 \times \frac{15}{100} \\ 1281 [/tex]

Find x, y, and z such that x³+y³+z³=k, for each k from 1 to 100. there is nothing to do

Answers

Answer:

Step-by-step explanation: There are no solutions whenever k=4,5mod9.

This holds since it is not difficult to verify that for every integer n, we have n3=0,±1mod9.

Up till this year, there were just two values for k in the range 1..100 for which it was not known if there were a solution. These values are k=33,42.

Both values are now known to have solutions. See 42 is the answer to the question “

ANY MATH EXPERTS PLS HELP RN I GOT 30 MIN LEFT I'll MARK BRAINLIEST TO WHO ANSWER'S FIRST

Answers

Answer:

y = -3x + 7

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Slope-Intercept Form: y = mx + b

m - slope b - y-intercept

Step-by-step explanation:

Step 1: Define

Find points from graph.

Point (1, 4)

y-intercept (0, 7)

Step 2: Find slope m

Substitute:                    [tex]m=\frac{7-4}{0-1}[/tex]Subtract:                       [tex]m=\frac{3}{-1}[/tex]Divide:                          [tex]m=-3[/tex]

Step 3: Write linear function

y = -3x + 7

What is the y intercept for the equation:
y = -8x^2 + 3x - 7

Answers

Answer:

The y intercept for the equation is (0,-7)

simplify 2(x + 5) − 3(x − 2)

Answers

Answer:

-x + 16

Step-by-step explanation:

We need to use the distributive property to solve this!

We can isolate this into 2 parts that we will need to combine later on, but isolating them will make it less confusing to simplify:

2(x+5) is one part, and the second is -3(x-2)

The first part simplifies to 2x + 10, and the second simplifies to -3x + 6. Now we need to combine the 2 values.

2x + 10 - 3x + 6

Combine like terms

-x + 16 is your answer!

Answer:

Step-by-step explanation:

2x+10 - 3x -5 and for the fun of it the answer will be..

you will subtract 10 and 5 and that gives you 5

then you do -3+2 = -1x

5 divided by -1 gives you

X= -5

The cross-country coach later determines that the length of the football field is 120 yards. All students must run five laps. Using your answer from Part A, determine the actual number of yards that each athlete must run in the tryouts. In order to make the team, students must complete the laps in 6 minutes. How quickly must they run each lap? The width of the football field is 70 yards.

Answers

Answer:

25.2

Step-by-step explanation:

Given h(x) = 4x2 + 3x – 8, what is the value of h(–9) ?

Answers

Answer:

289

Step-by-step explanation:

h(x)= h(-9)

4(-9)^2+3(-9)-8

22, 36 27, 54 32, 72 x inercept

Answers

12 is the x jntercept

Give the digits in the tens place and the hundredths place. "91.48"

Answers

Answer:

Step-by-step explanation

The digit in the tenths place is 4 and the digit in the hundreds place is 1

Answer:48 Hundredths i think

Step-by-step explanation:

The equation of the graphed line is 2x - y = -6.
What is the x-intercept of the graph?
-3
-2 2
6

Answers

Answer: 6

Step-by-step explanation: Since the line crosses the y-axis at 6, the y-intercept is 6.

Find the unit rate. Round to the nearest hundredth, if necessary.
$3.99 for 19 lb
The unit rate is $

Answers

Answer:

0.21

Step-by-step explanation:

The answer to the question is 0.21

PLEASE WILL GIVE BRAINLIEST!!

Answers

Answer:

10.5

Step-by-step explanation:

because 10.5x2=21. and 45+13+21=79, 100-79= 21.

A skirt originally cost $10. How much will it cost if you sell it in Amazon with 25% mark-up price

Answers

Answer:

$20.40

Step-by-step explanation:

20% off means that the new price of the skirt will be 80% of the original price:

$30(100%  – 20%) = $30(80%)

Converting the percent to a decimal gives:

$30(0.8) = $24.00

There is an additional 15% off the sale price of $24.00, so the final price is 85% of the sale price:

$24(100%  – 15%) = $24(85%)

Again converting the percent to a decimal gives:

$24(0.85) = $20.40

please help me!!! I NEED HELP!!!! IM SO CONFUSED

Answers

the exponent on the P will be 5

Pretty sure is 5 bud.

Late for the party but happy to help!!

What is the slip of the line shown below ?

A - 11/4
B- 4/11
C- -4/11
D- 11/4

Answers

the picture is blurry

solve for x transversal

Answers

where’s the problem ?

just answer the question dont play with me rn​

Answers

Answer:

B

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

You are choosing between two texting plans. One plan has a monthly fee of $15 with a charge of $0.05 per text. The other plan has a monthly fee of $5 with $0.07 per text. For how many text messages will the costs for the two plans be the same?

Answers

Answer: 500 messages will the costs for the two plans be the same.

Step-by-step explanation:

Let x= Number of text messages .

Given: One plan has a monthly fee of $15 with a charge of $0.05 per text.

i.e. Total cost of plan = 15+0.05x

The other plan has a monthly fee of $5 with $0.07 per text.

i.e. Total cost of plan = 5+0.07x

As per given ,

[tex]5+0.07x=15+0.05x\\\\\Rightarrow\ 0.07x-0.05x=15-5\\\\\Rightarrow\ 0.02x=10\\\\\Rightarrow\ x=\dfrac{10}{0.02}\\\\\Rightarrow\ x= \dfrac{1000}{2}\\\\\Rightarrow\ x=500[/tex]

Hence, 500 messages will the costs for the two plans be the same.

pretty help please :)

Answers

Answer:

3

Step-by-step explanation:

we want to get (n) alone

3n+17=26

subtract 17 from each side

3n=9

divide each side by 3

n=3

3

Answer:

A

Step-by-step explanation:

3n+17=26 Inverse operation of addition is subtraction so subtract 17 from both sides of the equation

3n-17+17=26-17

3n=19 Inverse operation of multiplication is division, so divide 3 from both sides of the equation so you can get n alone

3n/3=9/3

n=3

Inverse operation means the opposite operation

Nick can type 30 words a minute.
How many words can be typed in 9.5 minutes?

Answers

Answer:

285 words

Step-by-step explanation:

Nick can type 285 words per minute because. 30•9.5 is 285 getting easy on us :D

What is the value of the digit 6? Correct answer will be marked brainliest.

Answers

Answer:

the value is ones.

Step-by-step explanation:

6=hundred 5= tens and the 6 u are talking about is = ones

Please help ASAP Thank you

Answers

Answer:

3.0 x 10^1

Step-by-step explanation:

Step 1) 4,500,000,000 / 149,600,000 = about 30

Step 2) 3.0 x 10^1 = 30

The graph of the absolute value parent function is vertically stretched by a factor of three, then shifted two units left and five units down.

Answers

Answer: g(x) = 3*Ix + 2I - 5

Step-by-step explanation:

First, let's define the transformations in a general way.

A vertical stretch of a scale factor A, is written as:

g(x) = A*f(x)

A vertical shift of A units is written as:

g(x) = f(x) + A

if A is positive, the shift is up, if A is negative, the shift is down.

A horizontal shift of A units is written as:

g(x) = f(x - A)

If A is positive, the shift is to the right.

If A is negative, the shift is to the left.

Then we start with the absoulte value parent function f(x) = IxI

"The graph of the absolute value parent function is vertically stretched by a factor of three"

We start with:

g(x) = 3*f(x)

"then shifted two units left"

g(x) = 3*f(x - (-2))

"and five units down."

g(x) = 3*f(x + 2) - 5.

and knowing that f(x) = IxI, we have:

g(x) = 3*Ix + 2I - 5

Other Questions
What was known as the "holy experiment"?O Roger Williams's plan for the churches in Rhode IslandO William Penn's vision to spread Quaker ideals in AmericaO James Oglethorpe's idea for converting the Native AmericansO George Calvert's plan for spreading Christianity in the New World Larry recorded the following donations this year: $550 cash to a family in need $2,450 to a church $550 cash to a political campaign. To the Salvation Army household items that originally cost $1,250 but are worth $350.What is Larry's maximum allowable charitable contribution if his AGI is $60,500?a. $1,100.b. $4,800.c. $2,800.d. None of the choices are correct.e. $3,000. Buspirone has been ordered for a client with anxiety. Provide a rationale why buspirone is a safe medication when compared to the medication clonazepam. How does the poem O captain! My captain represent the democracy as it represents today? Translate: We like the cats.Nosotros gustamos los gatos.Nos gustamos los gatos.Nos gusta los gatos.Nos gustan los gatos. PLEASE HELP!!A swimmer starting from rest has a final velocity of 2.0 m/s after 20 seconds. What is her average acceleration?O A. 18 m/s2OB. 22 m/s2OC. 0.10 m/s2O D. 40 m/s2 What was unique about the way the Nile River flooded in ancient Egypt? 6th grade history I mark as brainliest Evaluate the following trigonometric expression, using the principal value for the cosine tan(Cos-1(-1/2)) Little help? I'm kind of stuck.What is likely to be the effect of population trends on the natural resources of Italy? What are three examples of matter you can see where you are right now. Thanks for the help everyone! chemically stable than they would14. The atoms in a water molecule arebe as individual atoms.A LessB. MoreC. SimilarlyD. Not HELP!!!!!!!!!! I don't have much time What is an allusion? Question options: A: a reference to an unfamiliar historical person or event, used to make an idea more easily understood B: a repeating consonant sound. C: a reference to a familiar literary or historical person or event, used to make an idea more easily understood D: a repeating consonant sound. Which right is not protected by the Fifth Amendment? Find measure of the angle - Please help for a test review today!!! Can someone check my answer for this? Ty! The diagram models how gravity works in our solar system. The sizes of the spheres are directlyproportional to their masses. The sizes of the arrows are directly proportional to force.In what way does this diagram accurately model gravity in our solar system? .by demonstrating that the force of gravity is a constantby demonstrating that the sun controls the way that gravity affects interactions amongother bodies in the solar system.OOIby demonstrating that gravity requires three or more bodies interacting with forces ofdifferent magnitudesby demonstrating that the strength of the force of gravity is dependent on the masses ofobjects and the distance between themOD What does Thanksgiving have in common with Halloween? HELP ME PLEASE?? THIS IS DUE TOMORROW AND I WANT THERE FOR THAT CLASS!!!