Find the real numbers x and y that make the equation true. (2 points)
-3 + yi = x + 6i

Answers

Answer 1

Answer:

x = - 3, y = 6

Step-by-step explanation:

For the 2 sides to be equal then the coefficients of the imaginary terms and the real terms must be equal.

Given

- 3 + yi = x + 6i , then

x = - 3 and y = 6


Related Questions

In Erica's math class, students were polled to find out what kind of music they enjoyed. Of the 25 students surveyed, 1/5 said they liked hip-hop, 16% chose country, and the rest chose pop as their favorite type of music. How many students chose pop music?

Answers

To figure how many people liked hip hop, you have to multiply 1/5 by 25


1/5 *25 is 5


To figure out how many students liked country, you do


16%*25 which is 4


25-4-5 is 16


So, 16 students like pop music

What is the gcf of 66xy and 30x2y?

Answers

Answer:

66yx , 30x2y, hope its right :)

Step-by-step explanation:

Which object has a GREATER unit rate of change as shown in the graph?

Answers

Answer: A

Step-by-step explanation:

The measure of the exterior angle of the triangle is

Answers

Step-by-step explanation:

The sum of two interior angles in a triangle is equal to an exterior angle that's supplementary to the third interior angle

2x - 2 = 45 + x

2x - x = 45 + 2

x = 47°

Answer:

x = 47

Step-by-step explanation:

Finding the third angle (y) of the triangle:

- Since angles on a straight line add up to 180:

2x -2 + y = 180

y = -2x + 2 + 180

= -2x + 182

Hence, the third angle of the triangle is -2x + 182.

Since all 3 angles of a triangle add up to 180°:

-2x + 182 + x + 45 = 180

-2x + x + 227 = 180

-2x + x = 180 - 227

-x = -47

x = 47

Hence, x = 47

can someone help me with this?

Answers

Answer:

Equation

Step-by-step explanation:

Equation Rate of change: 2/1=2

Graph Rate of Change: -4/1=-4

Answer: Equation has a greater rate of change

Step-by-step explanation:

Equation's rate of change is 2 and graph's rate of change is -4

Need help thank you very

Answers

Answer:

a)4/3

b)9/20 or 0.45

c)96

Step-by-step explanation:

a) j=3

72=20j+9p

72=20(3)+9p

72=60+9p

-9p=60-72

-9p=-12

p=-12/-9

p=4/3

b) m =1/2

20k-5=8m

20k-5=8(1/2)

20k-5=4

20k=4+5

20k=9

k=9/20 or 0.45

c) k=18

p+1/3k-20=82

p+1/3(18)-20=82

p+6-20=82

p=82+20-6

p=96

idk if this is right but I tried my best heh-

ANSWER:
a. p=4/3
b. k=9/20
c. p=96

Triangle ACB with coordinates A(0,0), C(2,0), and B(2,4) is similar to triangle BED. If vertex D has coordinates (6,12), what are the coordinates of vertex E?

Answers

Answer:

A right triangle is a triangle that has 90 degrees angle in one of its parts. You are given two points that have coordinate:

x1,y1= (-2, 4)

x2,y2= (-1,1)

To make the angle 90 degrees, there is two possible third point coordinate:

1. x1, y2 = (-2,1)

2. x2, y1= (-1,4)

The right triangle would be option C: (-2,1)

Option A and B is not a right triangle

Step-by-step explanation:

Answer:

the coordinates of vertex E is (6,0)

C(2,0),compare this to(2,4)

same x.but y=0

(6,0)comparing to (6,12)

we get it

Use the rule provided to generate the first five terms of the sequence. The rule
is 4n + 5.

Answers

Answer:

9, 13, 17, 21,25

Step-by-step explanation:

n=1, 4×1+5=9

n=2, 4×2 +5=13

::

:

n=5, 4×5 + 5= 25

Find the slope for problems 2 and 3.

Answers

The Slope for 2 is 1 the slope is on the y- intercept

Answer:

k

Step-by-step explanation:

2. y= 1/0.5x + 1

3.  y= -8/1x + 0

these are the two answers. i hope this helped!

Help please. This is due at midnight

Answers

Answer:

Yes, he got the correct quotient

Step-by-step explanation:

1.5 divided by 1/3 is 4.5, and 4.5 is equal to 4 1/2

Answer:

Sage did it right.

your work:

1 1/2 ÷ 1/3

3/2 ÷ 1/3

3/2 × 3/1

9/2

4 1/2

Step-by-step explanation:

first convert 1 1/2 into an improper fraction:

multiply the 2 and 1, you get 2, than add that to the current numerator to get a new one. You get 3/2 as your improper fraction

you now have: 3/2 ÷ 1/3

then turn the division sign into a multiplication sign by flipping the divisor:

you get 3/2 × 3/1

solve this:

multiply the numerators together, you get 9 as a new numerator

multiply your denominators, you get 2 as your new denominator

so now you have 9/2

next turn this into a mixed fraction, you get 4 1/2

so Sage did it right.

–45 • –3 = please i need hep

Answers

Answer:

135

Step-by-step explanation:

18x^3 divided by 2x^2

Answers

the answer to this question is 9x

The answer is 9times your welcome

by the definition of supplementary angles, the base angles of the top isosceles triangle have the measure of

Answers

Answer:

128

Step-by-step explanation:

Top Triangle

Let the base angles of the top triangle = y

y + 102 = 180

y = 78

The vertex

Is found by adding the two base angles together and subtract that from 180

y + y + vertex = 180

78 + 78 + vertex = 180

156 + vertex = 180

vertex = 180 - 156

vertex = 24 degrees

Bottom Triangle

Because the base angles are connected by a vertically opposite angle on the bottom triangle, both base angles are 26

Therefore 26 + 26 + x = 180

52 + x = 180

x = 180 - 52

x = 128

Can anybody help please ??

Answers

Answer:

d because it makes the most sense

Step-by-step explanation:

Answer:

D- 50

Step-by-step explanation:

.6 (60%) times 50 = 30

!PLEASE HELP ME!
Tim thinks that the following expression will only yield values that are positive. x^2

Is Tim correct? Explain why or why not and provide three examples that prove whether Tim’s statement is correct.

Answers

Answer:

We conclude that Tim is correct when he says that the expression x² only yields values that are positive.

Step-by-step explanation:

Given the expression

Plug in and checking x = 1 and x = -1 in the expression

Putting x = 1 in the expression

x²= (1)² = 1

Putting x = -1 in the expression

x²= (-1)² = 1

Thus, the expression yields the same output '1' when we enter x = 1, and x=-1.

Plug in and checking x = 2 and x = -2 in the expression

Putting x = 2 in the expression

x²= (2)² = 4

Putting x = -1 in the expression

x²= (-2)² = 4

Thus, the expression yields the same output '4' when we enter x = 2, and x=-2.

Plug in and checking x = 3 and x = -3 in the expression

Putting x = 3 in the expression

x²= (3)² = 9

Putting x = -1 in the expression

x²= (-3)² = 9

Thus, the expression yields the same output '9' when we enter x = 3, and x=-3.

The reason why the expression x² only yields positive values because the expression is in the square form, and the square of any number will always yield a positive value, no matter whether the input number is negative or positive.

Therefore, we conclude that Tim is correct when he says that the expression x² only yields values that are positive.

find the percent of the number
24% of 480 ​

Answers

Answer:

115.2

Step-by-step explanation:

Answer: 115.2

Step-by-step explanation:

What is 24% of 480?

Y is 24% of 480

Equation: Y = P% * X

Solving our equation for Y

Y = P% * X

Y = 24% * 480

Converting percent to decimal:

p = 24%/100 = 0.24

Y = 0.24 * 480

Y = 115.2

Mrs. Garcia's math test is worth 50 points. If you answer all the questions and the extra credit correctly, you can score 55 points. How do you represent this situation as a fraction, a decimal, and a percent?

Answers

Answer:

Divide the percentage by 100 to get a decimal number. Use that number as the numerator (top) of a fraction. Put a 1 in the denominator (bottom) of the fraction. Convert the decimal to a whole number: Count how many places are to the right of the decimal.

A store sells 6 T-shirts for $59.34. What is the unit cost per T-shirt?
OA. $9.89
OB. $8.48
OC. $53,34
OD $0.10

Answers

Answer:

$9.89

Step-by-step explanation:

The answer is A. Multiply 6 times 59.34

According to the National Oceanic and Atmospheric Administration, the blue whale is the largest animal on Earth. Blue whales weigh approximately 3×105 pounds. Narwhals, which are also a type of whale, weigh approximately 2×103 pounds. How many times heavier is the blue whale's weight than the narwhal's weight?

Answers

Answer: The blue whale's weight is 150 times heavier than the narwhal's weight.

Step-by-step explanation:

Given: Weight of Blue whale = [tex]3\times10^5\text{ pounds}[/tex]

Weight of Narwhal = [tex]2\times10^3\text{ pounds}[/tex]

Number of times blue whale's weight  is heavier than the narwhal's weight = [tex]=\dfrac{\text{Weight of Blue whale}}{\text{Weight of Narwhal }}[/tex]

[tex]=\dfrac{3\times10^5}{2\times10^3}\\\\=1.5\times10^{5-3}\ \ \ [\dfrac{a^m}{a^n}=a^{m-n}]\\\\=1.5\times10^2\\\\=1.5\times100=150[/tex]

Hence, the blue whale's weight is 150 times heavier than the narwhal's weight.

Graph each number on a number line write an inequality that is true for the numbers

Answers

Answer:

Step-by-step explanation:

Copies from other websites are no good on Brainly. We’re sure you can rephrase and use your own words

Can somebody plz answer both these questions correctly thanks!! (Word problem)

WILL MARK BRAINLIEST WHOEVER ANSWERS FIRST :DDD

Answers

Answer:

a. 40%

b. 7.5%

Step-by-step explanation:

a. 60/ 150 x 100

b. 4.5/ 60 x 100

Miguel runs 1/2 of a mile every 5 minutes, or 1/12 of a hour. At this rate, how many miles can he run in an hour.

Answers

Answer:

The answer is 12

Step-by-step explanation:

1/5 x 60 is 12

There is a 60 because There's 60 minutes in a hour.:)Have a good day❤

The population of a town called Smallville grows by 3,000 people every year. After 7 years of the town's development, the population is 31,000 people. Find the equation for this situation, letting x represent time (in years) and y represent the town's population. Show your work below:​

Answers

52.7 hours the person above me is right

Can someone please help me on this question

Answers

Answer: It's C.

Step-by-step explanation:

Solve for x
Y= x-v/b

Answers

Answer:

x=y+v/b

Step-by-step explanation:

So first you have y=x-v/b. You want to isolate x, so subtract x from both sides. You'll get -x+y=-v/b. Next, you're going to want to subtract y to further isolate x now that it's on the left side. Now you'll have -x=-y-v/b. But you don't want x to be negative, so you can divide both sides by -1 to make x positive. Now you'll have x=y+v/b.

2(3v-5)=2(v-11)-4 can someone help me out ?


Answers

Answer:

v = -4

Step-by-step explanation:

2(3v - 5) = 2(v - 11) - 4

6v - 10 = 2v - 22 - 4

     +10          +10

6v = 2v -12 - 4

-2v   -2v

4v = -16

divide both sides by 4

v = -4

Hope this helps!!

The value of v = - 4.

We have the following equation -

2(3v - 5) = 2(v - 11) - 4

We have to find out the value of the variable v.

What is the solution of a equation in one variable?

The solution of an equation is the value of variable for which the left hand side is equal to right hand side.

We have the following equation -

2(3v - 5) = 2(v - 11) - 4

2 x 3v - 2 x 5 = 2v - 2 x 11 - 4

6v - 10 = 2v - 22 - 4

6v - 10 = 2v - 26

6v - 2v = - 26 + 10

4v = -16

v = - 4

Hence, the value of v = - 4.

To solve more questions on finding unknown variable, visit the link below-

https://brainly.com/question/13482978

#SPJ5

what is the slope of 4x + 4y = 8?

Answers

Answer:

m=-1

Step-by-step explanation:

4x-8=-4y

x-2=-y

-x+2=y

Answer:

m=-1

Step-by-step explanation:

It is easiest to put the equation into slope-intercept form first.

4x+4y=8

4y=-4x+8

y=-x--2

The slope of the line is -1

Can somebody please help?

Answers

Answer:

A. Juan wins the race

B. At about 7 minutes J(t )= A(t)

C. 2 minutes

Step-by-step explanation:

A. Juan wins the race. This is because she covers the distance in a shorter time interval than Antonio

B. At about 7 minutes J(t )= A(t). to get this, just look at the point that the two curves intersect on the graph, and trace it down to the time axis to read off the time.

C. J(t) is greater than A(t) with about 2 minutes. To get this, we just subtract the time Juan arrived at the finish line from the time Antonio arrived, this is = 15 -13 = 2 minutes

Please help me ASAP!

Answers

Answer:

A and B are parallel to D and C

or

A and D to B and C

basically do a line and expand them if they touch they are not parralelogram but if they don't they are

If you were offered $18 dollars per hour, $3,000 dollars a month or $37,000 dollars a year, which would you take if salary was the only consideration?

Answers

Answer:

I will consider $18/hour pay

Step-by-step explanation:

Before we an know which of the money to consider, we need to converted the equivalent amount in years

If $18 dollars is offered per hour, to know the equivalent amount per year.

1year = 8760hour

$18 = 1hr

x = 8760hr

x =18×8760

x = $157680

For the monthly pay

$3000 = 1month

y =12months

Since 12months are in year

Cross multiply

y = 3000×12

y = $36000

Since the hourly pay equivalent in years is greater than the monthly and yearly pay, hence I would consider $18 per hour pay

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