Select the correct answer.
What are the the values of x and y that satisfy this equation?
(x + yi) + (4+9i) = 9-4i

Select The Correct Answer.What Are The The Values Of X And Y That Satisfy This Equation?(x + Yi) + (4+9i)

Answers

Answer 1

Answer: Option A; x = 5, y = -13

Step-by-step explanation:

We have the equation:

(x + yi) + (4+9i) = 9-4i

Solving the left side we have:

x + y*i + 4 + 9*i = 9 - 4*i

(x + 4) + (y + 9)*i = 9 - 4*i

The real part is x + 4, and this must be equal to the real part in the right that is 9, then:

x + 4 = 9

x = 9 - 4 = 5

x = 5

And the imaginary part in the left needs to be equal to the imaginary part in the right, then:

y + 9 = -4

y = -4 - 9 = -13

y = -13

then the solution is x = 5, y = -13

The correct option is A


Related Questions

A person can pay $42 for a membership to the art museum and then go to the museum for just $4 per visit. What is the maximum number of visits a member of the art museum can make for a total cost of $90 ?​

Answers

Answer:

The member of the art museum can visit 22 times

Step-by-step explanation:

If x = ─7 and y= 3 , find i) x+y ii) xy iii) xꓥ2 + yꓥ2 WHAT IS THE ANSWER

Answers

Answer:

Step-by-step explanation:

1. X + y

Putting values of x and y

-7 + (-3)

= - 10

2. xy

Putting values of x and y

(-7)(-3)

= 21

3. x2 + y2

Putting values of x and y

= (-7)2 + (-3)2

= 49 + 9

= 58

4
3

(2
3
+4
2
)=start fraction, 3, divided by, 4, end fraction, left parenthesis, 2, cubed, plus, 4, squared, right parenthesis, equals

Answers

Step-by-step explanation:

here

hshdhdhjdbdgdjjd

The solution to the given expression starts fraction, 3, divided by, 4, end fraction, left parenthesis, 2, cubed, plus, 4, squared, right parenthesis, equal to 18.

What is the fundamental principle of multiplication?

If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.

We can solve the given expression by simple multiplication,

[tex]\frac{3}{4} (2^{3} +4^{2} )\\\\\frac{3}{4} (8 +16 )\\\\\frac{3}{4} (24 )\\\\3 \times 6\\18[/tex]

Learn more about multiplications;

https://brainly.com/question/14059007

#SPJ2

hi answers this question with it solve I will mark brainlist​

Answers

Answer:

9.c

10.a

11.c

12.a

13.b

14.b

15.b

1.a -4y+5x+8xy+6y-10xy-8x

we collect like terms so -4y+6y+5x-8x+8xy-10xy

2y-3x-2xy

b.-2x+3y+4xy-(-2x-3y+4xy)

-2x+3y+4xy+2x+3y-4xy

-2x+2x+3y+3y+4xy-4xy

3y+3y=6y

Answer:

hiii and have a nice day

hope u will not busy

hahaha

What would the missing coordinate be if there was an inverse relationship between points (12,3) and (x,9)

Answers

Answer:

4.

Step-by-step explanation:

inverse proportion:

12/3=x/9.

3x3=9 therefore 12/3 which is 4.

The missing coordinate is 4.

Hope this helps plz hit the crown :D

A car with a mass of 1000 kg crashes into a wall. The acceleration before the crash was 5 m/s2. What is the force

Answers

Answer: 10m/8

Step-by-step explanation: 5 ( m/s) *2= 10/8

What is -22.74 - (18.18) ?

Answers

Answer: -40.92

i used the calculator :)

00:00

Select all the numbers that are irrational.

6.7234724...

315

8

-0.25

✓7

17

36

Answers

Answer:

6.7234724... ; ✓7

Step-by-step explanation:

In the most simplest of terms, we can explain irrational numbers as numbers which cannot be expressed as a ratio of two integers usually because they cannot give an exact value when evaluated.

Using the values given :

6.7234724... - - >This is an irrational number because the '...' depicts that the values are unending and as such an exact expression in the form of a ratio (p/q) cannot be determined.

315, 26, 17, 8 - - - > Is a rational number, it could be express in ratio form as : 315/1. 315 is an integer and all integers are rational.

-0.25 - - > it could be expressed as - 1 /4. Hence it is a rational number.

✓7 - irrational as the simplification gives : 2.6457513...

What is the number of possible outcomes when a coin is tossed one time

Answers

Answer:

2.

Step-by-step explanation:

the coin could be heads or tails, but knowing me prolly 3 because I would lose the coin when I flip it.

Answer:

The possible outcomes when a coin is tossed one time are heads and tails. therefore, the number of possible outcomes is 2.

Step-by-step explanation:

I hope it's helpful!

A man gives 1/4 property to his son, 1/3 of the remainder to his daughter and the rest part to hos wife, what portion did his wife get?

Answers

Answer:

5/12 goes to wife I don't really know how to explain it

Latest Releases Depot rents DVD/Blue ray for $3.00 each and has no membership fee. Video for You rents DVD/Blue rays for $2 each but has a membership fee of $15.

Answers

Answer:

15 rentals

Step-by-step explanation:

Latest Releases Depot

rent = $3 per DVD

membership= free

let the number of DVD be x

let the expression for the total be

y= 3x----------------1

Video for You

rent= $2  per DVD

membership= $15

let the number of DVD be x

let the expression for the total be

y= 15+2x----------------2

equate 1 and 2

3x=15+2x

collect like terms

3x-2x=15

x= 15

Hence the number of DVDs needed for the two rentals to have the same amount is at least 15 rentals

what is this??? 28÷7×4=?

Answers

Answer: 16

Step-by-step explanation: 28÷7=4

                                             4×4   = 16

PLS HELP ME I WILL GIVE BRAINLIEST ASAP!! PLS HELP ME I WILL GIVE BRAINLIEST ASAP!!
PLSSSS GRAPH IT AND WRITE A SOLUTION!!

Answers

that’s the answer plot the points

The regular price of a jacket is $48.00. What is the sale price of the jacket if it is marked 25% off

Answers

Answer:

$36 for the jacket

can someone help me?

Answers

Use math Microsoft app it will help you
Use photo math it hell

At the start of the napkin aisle, you see
a list of the different package options,
shown in the table below.
Are the price of napkins and the
number of napkins in each package
proportional to each other? Why or
why not?

Answers

Answer:

D

Step-by-step explanation:

Proportional mean the same but 100 napkins is cheaper then 50 so it is not proportional

Answer:

The answer is D.

No, the ration found by dividing the price of napkins by the number of napkins is not the same for each pack.

Step-by-step explanation:

The prices and the number of napkins in each package are not proportional to each  other because they all not equal to each other when the number of napkins is divided by the price

Hope this helps!!! :)

BRAINLIEST PLEASE

I need help with this ASAP so could you please help me

Answers

Answer:

The area of a triangle is: A = 23.2 cm²

Step-by-step explanation:

Given

a = 10 cm

b = 9 cm

The angle ∠C = 31°

To determine

Area of the triangle

Using the formula to determine the area of the triangle

Area = 1/2bc sin C

substituting a = 10, b = 9, and m∠C = 31°

Area = 1/2 × 9 × 10 × sin 31°

Area = 1/2(90) sin 31°

Area = 45 × sin 31°

Area = 23.2 cm²

Therefore, the area of a triangle is: A = 23.2 cm²

sin 60° x tan 45° what is that is for a homework

Answers

Answer:

75 degrees

Step-by-step explanation:

60 = 45= 75 = 180

Because every triangle has 180 degrees in it

The rope that can fence out the square garden of length 250m can fence another circular garden twice. What is the area and perimeter of the circular garden?
(Wrong answers will be reported)

Answers

Answer:

Perimeter of circular garden=500m

Area=19,894 sq m

Step-by-step explanation:

250x4=1000

1000/2=500m circle perimeter

Pi x Dia=Circumference

3.14159 x Dia=500m

Dia=159.16m

Rad=159.16/2=79.58m

Area=Pi x Rad^2=2.14159 x 79.58^2=19,894 m^2

Answer: The circumference of the circular garden is 500 meters.

The area is approximately 19891 square meters.

If you use a Rounded value of 80m for the radius, the Area works out to about 20106 square meters.

Step-by-step explanation:

The total length of the rope is 1000m. 4×250=1000

That is enough to fence the circular garden twice, so the "perimeter" of that garden-- the circumference-- is 500m

To find the area, first find the diameter:

500÷π = 159.15

Area of a circle is A=πr²

The radius is half the diameter.

79.57 so r² is about 6331.4

Multiply by π to get the area:

about 19890.6 m²

i'm stuck on this one :(

Answers

Answer:

they are both correct, all sides are equal to eachother yknow?

Step-by-step explanation:

Both are correct:) any side are equal to each other

Which expression is modeled on the number line

Answers

Answer:

D

Step-by-step explanation:

if you were to chose c you would find that to negatives make a positive and the first negative has to be there so d would be the best possible answer

the first person is wrong:( the answer is c !!!


Which equation best represents the relationship
between x and y in the graph?
A. y = x + 2
C. y = 2x + 2
B. y = 2x - 2
D. y = Vzx - 2

Answers

Answer:

C y= 2x +2

Step-by-step explanation:

Look at the graph and look at the dots. For example if you look at negative 1 on the x-axis there is a dot there. so it now you count up to where you see the next dot on the y-axis. Which it goes up 2, then count to the right towards the Y-Axis which is one. now you left with 2/1. since it is going up 2 it will be positive and 2 over 1 is simplified so you are left with 2x and the B will be 2 because the line goes through 2 on the y-axis. This equation should help you y=mx+b m is the slope and B is the y axis

Simplify

1/2 + (3/8 - 1/8)^2

Answers

9/16

Decimal form - 0.5625

You welcome :)

What’s the answer
Answer choices are :
A ) 26
B ) 28.8
C ) 43.2
D ) 144

Answers

Answer:144

Step-by-step explanation:

144 is the answer to the problem nod a or b or c jjusst D

A pole that is 3.4 m tall casts a shadow that is 1.01 m long At the same time, a nearby tower casts a shadow that is 49.75 m long . How tall is the tower? Round your answer to the nearest meter.?

Answers

Answer:

167 meters

Step-by-step explanation:

3.4 divided by 1.01 is 3.3663

3.3663 x 49.75= 167.4752475 or 167

Solve the system using the substitution method.
2x+y=7
x=3y
Demonstrate how you substituted to write an equation in one variable.

Answers

Answer:

(3,1)

Step-by-step explanation:

work is in picture

point q is located at (18, 5). The x-coordinate of point r id half as much as the x-coordinate of point Q The y-coordinate of point r is 3 more than the y-coordinate of point q

Answers

Answer:

R (27, 8)

Step-by-step explanation:

The coordinate plane is a two-dimensional plane consisting of the y axis (vertical line) and x-axis (horizontal line). The origin is known as the zero point (reference point) is the intersection of the x axis and y axis.

A point on the coordinate plane is represented by (x, y) where x is the x coordinate and y the y coordinate.

Given point Q = (18, 5), the x coordinate is 18 and the y coordinate is 5.

Let the location of point R = (a, b)

a = x-coordinate of point Q + 1/2 of x-coordinate of point Q = 18 + (1/2)*18 = 27

b = y-coordinate of point Q + 3 = 5 + 3 = 8

Therefore R = (27, 8)

Select all expressions that are equivalent to 3 x 5 − 6 x 4 y + 3 x 3 y 2 . A. 3 x 3 ( x − y ) 2 B. 3 x 3 ( x 2 − 2 x y + y 2 ) C. 3 x 3 ( x + y ) 2 D. 3 x 3 ( x − y ) ( x + y ) E. 3 x 3 ( x − y ) ( x − y )

Answers

Answer:

B

Step-by-step explanation:

Factorizing 3x^5−6x4y+3x^2y^2

[tex]= (3x\left(x^4-8y+xy^2\right)[/tex]

=

[tex]3x^3 ( x^2-2 x y + y^2 )[/tex]

Answer:

B

Step-by-step explanation:

IL GIVE BRAINLIEST AND MOREEE HELP

Answers

Answer:

-15

Step-by-step explanation:

Hope this Helps

Answer: -335

Step-by-step explanation:

Information For The Question:

Maya makes trail mix by combining 1\4 cup of mixed nuts, 1\3 cup of dried fruit, and 1\6 cup of chocolate morsels.

Question:

What is the total amount of ingredients in her trail mix using 12 as the Denominator?

Answers

Answer:

3/4

Step-by-step explanation:

1/3 + 1/4 + 1/6=3/4 of a cup-total amount of ingredients in her trail mix.

 

Simplify the following:

1/3+1/4+1/6

Put 1/3+1/4+1/6 over the common denominator 12. 1/3+1/4+1/6  =  4/12+3/12+2/12:

4/12+3/12+2/12

4/12+3/12+2/12  =  (4+3+2)/12:

(4+3+2)/12

4+3+2 = 9:

9/12

The gcd of 9 and 12 is 3, so 9/12 = (3×3)/(3×4) = 3/3×3/4 = 3/4:

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