Find the values of x and y that satisfy the equation.

3x+6i=27+yi
x

Answers

Answer 1

Answer:

x = 9

y = 6

Step-by-step explanation:

3x+6i=27+yi

The real components have to be equal and the imaginary components have to be equal

3x = 27

divide by 3

3x/3 = 27/3

x=9

6i = yi

Divide by i

6 = y

Answer 2

Answer:

x=9, y=6

Step-by-step explanation:

Step-by-step explanation:

we have

3x+6i=27+yi

Equate the Real Numbers

3x=27

solve for x

Divide by 3 both sides

x=27/3=9

Equate the  Imaginary Numbers

6i=yi

Simplify

6=y

Rewrite

y=6

therefore

x=9, y=6


Related Questions

Question
Statistical
Not
statistical
How much does a movie ticket cost at each theater in New York
City?
How many movie theaters are in New York City?
What movie theater in town has the least expensive popcorn?

Answers

Answer:

A=statististical

B=non statistical

C=non statistical

Step-by-step explanation:

i did the test and i got it all right, hope this help you!<3

Consider the following set of data: 1, 2, 4, 5, 8, 12, 17 1. Define what is meant by “measures of variation.” 2. What is the interquartile range of the data? 3. What is the mean absolute deviation of the data?

Answers

Answer: 2.) the interquartile range is 10

Step-by-step explanation: see pic

I hope this helps :)

Caitlin says that the point
(10, 2) on the graph below means that 2 hats cost $10.00. Is Caitlin correct?

Answers

Answer:

yes

Step-by-step explanation:

A package states that there are 60 calories in 12 crackers and 75 calories in 15 crackers. Since the relationship is proportional, how many calories are there in 180 crackers? x y 12 60 15 75 36 calories 108 calories 720 calories 900 calories

Answers

Answer:

900 calories

Step-by-step explanation:

each cracker has 5 calories so you would times 5 by 180 which gets you 900

Answer:

option D

Step-by-step explanation:

A package states that there are 60 calories in 12 crackers and 75 calories in 15 crackers. Since the relationship is proportional, how many calories are there in 180 crackers? x y 12 60 15 75 36 calories 108 calories 720 calories 900 calories

a secant and tangent are drawn to a circle from a common exterior point. If the length is 14 inches and the length of the external segment of the secant is 4 inches, then it which of the following is the length,in inches, of the internal segment of the secant?

Answers

Answer:

Correct option: (3) 45

Step-by-step explanation:

Let's call the length of the tangent 'T', the length of the external segment 'E' and the length of the internal segment 'A'.

If we have a secant and a tangent to a circle, we can use the following property:

T^2 = E * (A + E)

If the tangent is 14 inches and the external segment is 4 inches, we have that:

14^2 = 4 * (A + 4)

196 = 4A + 16

4A = 180

A = 45

Correct option: (3)

What is the slope-intercept equation of the line below?

Answers

Answer:

The slope-intercept form:

[tex]y = -3x +4[/tex]

Step-by-step explanation:

-To get the slope-intercept equation, you first need to find the slope by using this equation [tex]m = \frac{rise}{run}[/tex] (starting counting from the first point, to the second point) in order to get the slope. After you have the slope, you need to find the y-intercept ( y-intercept is where the line crosses the y axis of the graph, basically). So, to find that, you need look for the point that only crosses the y axis to get the y-intercept. After you have both the slope and y-intercept, you put it in slope-intercept form:

The two points I found from the following graph are:

[tex]( 1, 1)[/tex] and [tex](2, -2)[/tex]

Trick: Since the line of the graph shows that it is down (not up), Start counting down from point [tex]( 1, 1)[/tex] to point [tex](2, -2)[/tex]. Then, find the y-intercept:

[tex]m = \frac{-3}{1} = -3[/tex]

[tex]b = 4[/tex]

Use it to create a slope-intercept form:

[tex]y = mx +b[/tex] (where [tex]m[/tex] represents the slope and [tex]b[/tex] represents the y-intercept)

[tex]y = -3x +4[/tex]

So, therefore the slope-intercept form is [tex]y = -3x +4[/tex] .

the number of sides of a regular polygon whose interior angle is 140​

Answers

Answer:

9 sides

Step-by-step explanation:

Two methods and the same answer = 9 sides

Method 1: Since the interior angle 140 degrees, the supplement of this is the exterior angle and equal to 40 degrees. Hence the number of sides is 360/40 = 9 sides.

Method 2: Since the exterior angle 140 degrees, The sum of the interior angles = (2n - 4)* right angles. So 140n =(2n - 4)* right angles, or

140n =(2n - 4)*90, or

140n = 180n - 360, or

40n = 360, or

n = 9 sides.

Hence the number of sides is 9 sides.

Answer:

9

Step-by-step explanation:

The sum of the interior angle and the exterior angle = 180°

Thus the exterior angle of the polygon = 180° - 140° = 40°

The sum of the exterior angles of a polygon = 360°, thus

number of sides = 360° ÷ 40° = 9

Write and solve an equation for .

Answers

Answer:

[tex]x = 40 \: \: degrees[/tex]

Step-by-step explanation:

[tex]3x + 20 + x = 180 \\ 4x + 20 = 180 \\ 4x = 180 - 20 \\ 4x = 160 \\ \frac{4x}{4} = \frac{160}{4} \\ x = 40 \: \: degrees[/tex]

please help! i’m stuck

Answers

Answer:

CD = 12.

Step-by-step explanation:

By the tangent-secant theorem:

AB^2 = AC * AD

8^2 = 4 * AD

AD = 64/4 = 16

Finally CD = AD - 4 = 12.

Mia the scientist is tracking daily temperature changes for study on parakeet migration she records 10° in the morning and 50° in the evening what is the total temperature change for that day

Answers

Answer:

The answer is 40 degrees.

Step-by-step explanation:

If the temperature she recorded in the morning is 10 degrees and 50 degrees in the evening then the total temperature change during the day from morning to evening is an increase of 40 degrees.

I hope this answer helps.

WORTH 45 POINTS AND BRAINLIST NO FAKE ANSWERS AND PLAGIARIZING
Ms. Ziolkowski asks her class to write the correct trigonometric function for the triangle shown below.
Two students get into an argument about the correct answer.
Rhianna states that the correct trig function is tan A = 3/4. Christopher insists that the correct trig function is tan C = 4/3. Who is correct? In writing your response, be sure to include the terms opposite side, adjacent side, tangent ratio, and reference angle. Be sure to restate the question and explain your position with at least four sentences.

Answers

Answer:

They are both correct

Step-by-step explanation:

tan A = opposite / adjacent = 3/4   >>> A= 36.9 deg

tan C = opposite / adjacent = 4/3   >>> C= 53.1 deg

cheak:

<B+ <A + <C = 180 deg

90 + 36.9 + 53.1 = 180

180 = 180

Answer:

Botn are correct

Step-by-step explanation:

Tan ratio can be obtained by opposite/adjacent

Both students are correct. They have different values only because they have taken different reference angles

Rhianna has taken angle A as the reference angle,

So tanA = opposite/adjacent = BC/AB

tanA = 3/4

Christopher has taken angle C as the reference angle,

So tanC = opposite/adjacent = AB/BC

tanC = 4/3

Someone please help me this will be a lot of points and I will follow u and Mark u the brainiest​

Answers

Answer:

Answer is (d) 3

You can see that :

6/2 = 12/4 = 18/6 = 24/8 = 30/10 = 3

Thua the answer is 3

Can u please solve this question ???
Please solve this as fast as you can

Answers

First is 20 plus 20 plus 5

Which of the following best illustrates the commutative property of addition?
a. 8 + (7 + 3) = (8 + 7) + 3

b. 8(7 + 3) = 8(7) + 8(3)

c. (8 + 7) + 3 = 3 + (8 + 7)

d. 8 + (7 + 3) = (8 + 7) + (8 + 3) − 8

e. 8 + (7 + 3) = 8 + (7 + 3

Answers

Answer:

. 8 + (7 + 3) = (8 + 7) + 3

Step-by-step explanation:

commutative property of addition

a(b+c)=(a+b)+c

Answer:

c

(8 + 7) + 3 = 3 + (8 + 7

Step-by-step explanation:

Do these side lengths make a right triangle? 5, 12, 13

Answers

Answer:

This is a right triangle

Step-by-step explanation:

We will use the Pythagorean theorem

a^2 + b^2 = c^2

If this is true it is a right triangle

5^2 + 12^2 = 13^2

25+144 = 169

169 =169

This is true so this is a right triangle

Match each area of a circle to its corresponding radius or diameter. area: 63.585 square meters area: 28.26 square meters area: 120.7016 square meters area: 12.56 square meters area: 482.8064 square meters area: 113.04 square meters diameter: 12.4 meters radius: 4.5 meters diameter: 6 meters radius: 2 meters

Answers

Answer:

Step-by-step explanation:

area = pi*radius*radius -> Radius =  [tex]\sqrt{\frac{area}{pi} }[/tex]

area: 63.585 m2

   -> radius = [tex]\sqrt{\frac{63.585}{3.14} }[/tex] = 4.5 m

area: 28.26m2

  -> radius = [tex]\sqrt{\frac{28.26}{3.14} }[/tex] = 3m

   -> diameter = 6m

area: 120.7016m2

  -> radius = [tex]\sqrt{\frac{120.7016}{3.14} }[/tex] = 6.2m

   -> diameter = 12.4m

area: 12.56m2

   -> radius = [tex]\sqrt{\frac{12.56}{3.14} }[/tex] = 2m

area: 482.8064m2

   ->radius = [tex]\sqrt{\frac{482.8064}{3.14} }[/tex] = 12.4m

area: 113.04 m2

   ->radius = [tex]\sqrt{\frac{113.04}{3.14} }[/tex] = 6m

(4 × 6) ÷ (2 + 4) ÷ (8 ÷ 4)? please help

Answers

The answer is 2 hope this helps!

5/8 x 5/12 in its simplest form​

Answers

Answer:

25/96

Step-by-step explanation:

5 times 5 = 25

8 times 12 = 96

put them together as a fraction and you get 25/96

simplified.

Answer:

[tex]\frac{25}{96}[/tex]

Step-by-step explanation:

[tex]\frac{5+5}{8+12}[/tex]

[tex]\frac{25}{8TIMES12}[/tex]

[tex]\frac{25}{96}[/tex]

Tim tiene 39 pares de audífonos y 13 reproductores de música. Tim quiere vender todos los audífonos y los reproductores de música en paquetes idénticos. ¿Cuál es el mayor número de paquetes que Tim puede hacer?

Answers

Answer: 13 packages.

Step-by-step explanation:

This can be translated to:

Tim has 39 pairs of headphones and 13 music players. Tim wants to sell all the headphones and music players in identical packages. What is the largest number of packages that Tim can do?

To solve this we must find the largest common factor between 39 and 13.

to do this, we divide the smaller number by different integers, and see if the result also divides the larger number into an integer.

13/1 =13 and 39/13 = 3

So 13 is the largest common factor.

This means that we can make 13 packages, each with:

39/13= 3 headphones

13/13 = 1 music players

Find the 7th term of the sequence 216,-144,96,-64

Answers

Answer:

Step-by-step explanation:

r=-144/216=-2/3

[tex]a_{7}=216(-2/3)^{7-1}\\=216(\frac{-2}{3} )^6\\\\=216(\frac{2^6}{3^6})\\=216\times\frac{64}{729}\\=\frac{512}{27}\\[/tex]

Find the value of the expression
5
×
7

4
×
4
.

A.

45
B.
19
C.
60
D.
124

Answers

Answer:

19

Step-by-step explanation:

5*7 - 4*4

PEMDAS says multiply and divide first

35 - 16

Then add and subtract

19

Answer:

19 hope this helps ☜(⌒▽⌒)☞☜(゚ヮ゚☜)

Step-by-step explanation:

wut is 9-4-6-0-2-4-1=

Answers

Answer:

-8

Step-by-step explanation:

Hope this helps.

Answer:

-8

Step-by-step explanation:

9-4 = 5

5-6= -1

-1-0=-1

-1-2= -3

-3-4=-7

-7-1= -8


PLEASE HELP IF WRONG WILL REPORT!
What is the measure of the unknown angle?

A. 145°
B.148°
C. 150°
D. 151°

Answers

Answer:

D

Step-by-step explanation:

Because the angle with measure 29 degrees and n are a linear pair, their value must add up to 180 degrees. Therefore:

n+29=180

n=180-29

n=151 degrees, or answer choice D

Hope this helps!

I WILL VOTE BRAINLIEST AND GIVE THANKS! AND I AM GIVING 20 POINTS! (DESPERATE)
Please help! I need this answered as soon as possible, please! Thanks!
Look at the file (Image of Number line) to see the picture required to help you solve the problem.



The number line shows the graph of an inequality:


Which statement explains whether −2.5 can be a value in the shaded region?


Yes, it can, because −2.5 lies to the left of −0.5.


Yes, it can, because −2.5 lies to the right of −0.5.


No, it cannot, because −2.5 lies to the left of −0.5.


No, it cannot because −2.5 lies to the right of −0.5.

Answers

Answer:

first one man

Step-by-step explanation:

Answer:

Yes, it can, because −2.5 lies to the right of −0.5.

Step-by-step explanation:

Jina sold t-shirts at a festival. She made $3 for each t-shirt she sold. Her expenses were $27. If she made a profit of $51, how many t-shirts did she sell?

Answers

Answer:3x+27=51

27-27=0

51-37=x

X=14

Step-by-step explanation:

Per shirt would be the “x” part of the equation. Meaning 3x would be the cost per shirt. And if her total 51, and it were to be a profit, you would add $27 to 3x.

Lines a and b are parallel. What is the value of x? 5 10 35 55

Answers

Where is the equation?

In a recent survey about what food was your favorite take-out, it was determined that 40% of students
preferred pizza, 32% of students preferred cheeseburgers, and 28% of students preferred tacos. Based of
this data, how many students out of 1,800 chose cheeseburgers?

Answers

Answer:

576

Step-by-step explanation:

Answer:

576 chose cheese burgers

Step-by-step explanation:

Take the total amount of students and multiply by the percent that chose cheeseburgers

1800*32%

Change to decimal form

1800*.32

576

576 chose cheese burgers

The total cost of buying apples from a farm stand is shown in the table.
What is the cost per pound of apples?
A $1.50 per Sound
B. $2.00 per pound
C. $2.50 per pound
D. $3.00 per pound

Answers

Answer:

$1.50 per pound

Step-by-step explanation:

got same question and got it right.

The cost per pound of apples is given as $1.50 per pound.

What is proportionality?

proportionality is defined as between two or more sets of values, and how these values are related to each other in the sense are they directly proportional or inversely proportional to each other.

From the table,

Let the cost of the apples is directly proportional to the pound of x apples,
y = kx

Where k represents the cost of each pound of apply,
From the table consider an ordered pair,
x = 2, y = 3
Now,
3 = 2k
k = 3 / 2
k = 1.5

Thus, the cost per pound of apples is given as $1.50 per pound.

Learn more about proportionality here: https://brainly.com/question/22620356

#SPJ2

Can someone answer this question please please help me I really need it if it’s correct I will mark you brainliest .

Answers

Step 1) Divide the figure into shapes

Triangle: 9 x 10

Large rectangle: 8 x 17

Small rectangle: 5 x 9

Smaller rectangle (bottom): 4 x 6

Step 2) Find the area of each shape

Triangle: A = 1/2 x 9 x 10 = 45

Large rectangle: A = 8 x 17 = 136

Small rectangle: A = 5 x 9 = 45

Smaller rectangle (bottom): A = 4 x 6 = 24

Step 3) Add the areas together

A = 45 + 136 + 45 + 24 = 250 square kilometers

Hope this helps! :)

which classification best represents a triangle with a side lengths 6 cm,10 cm, and 12 cm ?

Answers

Answer:

It would be an obtuse scalene triangle.

EDITED TO ADD:

When given 3 triangle sides, to determine if the triangle is acute, right or obtuse:

1) Square all 3 sides.

2) Sum the squares of the 2 shortest sides.

3) Compare this sum to the square of the 3rd side.

if sum > 3rd side²   Acute Triangle

if sum = 3rd side²   Right Triangle

if sum < 3rd side²   Obtuse Triangle

6^2 = 36

10^2 = 100

12^2=144

36 + 100 = 136 and this is less than 144 so it is an obtuse triangle.

Step-by-step explanation:

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