For this problem we will use the complex numbers 3 - 6i and 9 + i
What is the conjugate of each complex number?



What is the sum of the complex numbers? Show all work.



What is the sum of the conjugates of the complex numbers? Show all work.

Answers

Answer 1
Conjugate is just changing the sign on the imaginary number, so the conjugates here are 3+6i and 9-i

The sum of the original complex numbers is (3-6i)+(9+i)=12-5i

The sum of the conjugates is (3+6i)+(9-i)=12+5i

Related Questions

worms are used to break down food waste and create a soil conditioning compost. Some worm populations double every 3 months. Suppose the formula y=2(2^x/3) represent the pounds of worms in a population after x months. If there are initially 2 pounds of worms, how many pounds of worms will there be in 1 year? If 2 pounds is approximately 2,000 worms, how many worms will there be after 1 yesr?​

Answers

8,000 each three months the population is doubled so i figured that each three months there are 2000 more worms i multiplied 3 by 4 Because 3 x 4 is 12 and a year is 12 months, and got 8,000 by multiplying 2,000 by 4. Hope this helps

What's the answer to
2(-8+5)+6

Answers

Answer:0,zero

Step-by-step explanation: 2(-8+5)+6

first we do the equation in the parentheses (PEMDAS) which equals -8+5=-3

-3 times 2=-6+6=0

Please help me I beg!

Answers

Answer:

38.9

Step-by-step explanation:

What number should go into the blank so that the two expressions are equivalent to each other? (Use only the digits 0 - 9 to write the number.)

b + b – 1 + b + b + 10 = __b + 9

Answers

Answer:

4.

Step-by-step explanation:

lets just say the unknown is x.

[tex]b+b-1+b+b+10=bx+9\\4b+9=bx+9\\4b=bx\\4=x\\[/tex]

Hope this helps :D

how do I solve
2×+9=9 ​

Answers

Step-by-step explanation:

2x+9=9

+9. +9

2x = 18

x = 6

not really sure but I tried at least

please help me im very behind​

Answers

Answer:

y=4/3x+4

Step-by-step explanation:

The change is Y is +4 and in X in +3, which is how we get the slope..4/3.

And the y-intercept would be 4, which is when x is at 0.

Hope this helps!

Answer:

y=4/3x+4

Step-by-step explanation:

The perimeter of the square below is 36 yards. What is the length of each side?
yards

Answers

Answer:

9 yards

Step-by-step explanation:

36 divided by 4 = 9

The length of each side is 9 yards.

What is perimeter?

A closed shape's perimeter is the sum of the lengths of its outside boundaries. The lengths of all the sides are added to determine the measurement.

Given:

The perimeter of the square below is 36 yards.

The length of each side,

= perimeter/ number of sides.

= 36/4

= 9 yards.

Therefore, each side is 9 yards.

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Find the missing side ?

Answers

Answer:

37

Step-by-step explanation:

Charlie threw a ball up in the air modeled by the function f(x)=−x2+2x+4. Elizabeth release a balloon at the same time, represented by g(x)=2x. At what time do the paths cross and at what height?

Answers

Answer:

after 2 secs

Step-by-step explanation:

The paths crossed at when the height are equal i.e when f(x) = g(x)

Given

f(x)=−x^2+2x+4

g(x) = 2x

IF f(x) = g(x), then;

−x^2+2x+4 = 2x

−x^2+2x+4 - 2x = 0

−x^2+4 = 0

-x^2 = -4

x^2 = 4

x = ±√4

x = 2 and -2

Time cannot be negative

Hence x = 2

The path crossed after 2 seconds

Help me please, which postulate proves these two triangles are congruent?

Answers

Answer:

C

Step-by-step explanation:

These triangles do look congruent. However, in fact, we don’t have enough information. We need 3 parts of a trainable to be shown congruent for it to be congruent, including HL congruence (because this requires a right angle). In the diagram, only 2 sides are shown to be congruent. This isn’t enough information to prove that the triangles are congruent. Therefore, it is C.

I hope this helps! :)

Half a bottle of lemonade is shared between 3 friends . What fraction will each child get ?

Answers

Answer:

1/3

Step-by-step explanation:

i hope this helped !!!!!!!!!

1/6 fraction of bottle of lemonade will each friend gets.

What is Fraction?

A fraction represents a part of a whole.

Given,

Half a bottle of lemonade is shared between 3 friends .

Half means 1/2.

One divided by two is half.

This half is shared between three friends.

So we need to divide half by three of friends.

1/2/(3/1)

When a fraction is divided by another fraction, the denominator is multiplied as reciprocal to numerator.

1/2×1/3

1/6

Hence, 1/6 fraction of  bottle of lemonade will each friend gets.

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given f(x)=2x-5, find x when f(x)=9

Answers

Answer:

x = 7

Step-by-step explanation:

9 = 2x - 5

add 5 to both sides

14 = 2x

divide by 2 to get x by itself

x = 7

Write the equation, show all your work, and circle your answer. ** The
square and the equilateral triangle at the bottom have the same
perimeter. Find the length of the sides of the triangle.
X + 5
3x

Please help it’s due Jan 8, 2021

Answers

Answer:

The length of the triangle is 3x given

The no of sides is 3x 3x 3x so 3x+3x+3x= 180

9x=180 x= 20

3x =3*20=60

3x=3*20=60

3x=3*20=60

When you expand 2 (6x + 12), you get an answer of 12x + 24. How many other ways can
you use brackets so you get the answer of 12x + 24 when you expand them?

Answers

Answer:

3(4x+8) or 4(3x+6) or 12(x+2)

Step-by-step explanation:

Answer:

3(4x+8) or 4(3x+6) or 12(x+2)

Step-by-step explanation:

please help me with this one :(​

Answers

Answer:

I can assure you, that this is not that hard. but. I will help you with one of them.

Step-by-step explanation:

audience-look it up in the dictionary

it's basically a crowd of people.

sebtence- I listened to the audio of the audio book.

An expression is shown: 4.58 + 0.079 What is the value of the expression

Answers

Answer:

4.659

Step-by-step explanation:

4.58

+0.079

4.659

which of the following best describes rotational symmetry

Answers

Answer: B

Step-by-step explanation:

A best describes the quality of symmetry, not specifically rotational symmetry.

C applies to that of A.

D applies to flipping an image across an axis.

B specifically outlines the symmetry of an object when rotated, thus B would be the most precise answer.

For the frieze pattern to the right , describe all transformations that map the pattern onto itself.

Select all that apply
A. Reflection across one or more horizontal lines
B. Reflection across one or more vertical lines
C. Glide reflection
D. Rotation
E. Translation

Answers

I have the same question why can’t I accept this comment

All transformations that map the pattern onto itself are; a horizontal translation and a reflection across a vertical line.

What is a translation?

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s range(involving values of y) or in it’s domain(involving values of x).

All these translations have predetermined rules that we apply to the figures.

The congruence of a triangle can be obtain through Rotation; Translation; or Reflection.

For this particular strip pattern onto itself, can be obtained by a horizontal translation and a reflection across a vertical line

All transformations that map the pattern onto itself are; a horizontal translation and a reflection across a vertical line.

Learn more about reflection here;

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It takes Andrew 4 min to swim 5 laps how many laps per min

Answers

5/4 = 1.25
He swims 1.25 laps per minute

Answer:

0.8 laps per min

Step-by-step explanation:

4 min / 5 laps

4/5 = 0.8

With a coupon, a pair of shoes that normally costs $90 is only $72. Find the COP between $90 and $72.

Answers

Answer:

The discount rate operated by the coupon is 20%.

Step-by-step explanation:

Since the pair of shoes normally sells for $ 90, but through the application of a discount coupon it sells for $ 72, to determine the discount percentage made by this coupon it is necessary to perform the following calculation:

90 = 100

72 = X

(72 x 100) / 90 = X

7,200 = 90 = X

80 = X

100 - 80 = 20

Thus, the discount operated by the coupon is 20%.

A sea lion was swimming at 2 feet below sea level. The number line shows
the location of the sea lion. It then swam down 8 feet. Describe how to use
the number line to find the new location of the sea lion.
109 8-7 654 3 -2-1 0 1 2 345 6789 10
OA. On the number line, move 8 units to the right. End at 10. The sea
lion was 10 feet above sea level.
OB. On the number line, move 8 units to the left. End at -6. The sea
lion was 6 feet below sea level.
O C. On the number line, move 8 units to the left. End at -10. The sea
lion was 10 feet below sea level.
OD. On the number line, move 8 units to the right. End at 6. The sea
lion was6 feet above sea level.
EPREVIOUS

Answers

Answer:

C. On the number line, move 8 units to the left. End at -10. The sea

lion was 10 feet below sea level.

Step-by-step explanation:

hope I helped

Here we go someone help me with this!

Answers

Answer:

I think they are-

Step-by-step explanation:

I have never learned this so please don't put every single last bit of trust in me- But I believe they are congruent-

Which expression is equivalent to 42 + 12? 7(6+5) 2(40+6) 6(7+2) 10(32+2)

Answers

Answer:

6(7+)

Step-by-step explanation:

1) Start by solving the original equation

42 + 12 = 54

2) Solve the other equations until you find a match

2a) Start with what's in the parenthesis

7(6+5) = 7(11) = 77

2b)

2(40+6) = 2(46) = 92

2c)

6(7+2) = 6(9) = 54

This is your answer

2d)

10(32+2) = 10(34) = 340

Answer: 6(7 +2)

Step-by-step explanation:

Calculate 42 + 12, which is 54.

Calculate 7(6 + 5), which is 7 * 11 = 77.

Calculate 2(40 + 6), which is 2 * 46 = 92.

Calculate 6(7 + 2), which is 6 * 9 = 54.

Calculate 10(32 + 2), which is 10 * 34 = 340.

And, we can conclude the expression 6(7 + 2) is equivalent to 42 + 12.

3x+15/2 <30
Please help fast by the way the whole equation 3x+15 is over 2.

Answers

Answer:

x  <  15

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

The range of (fog)(x) is​

Answers

Answer:

The range of [tex]f\circ g \,(x) = 2^{x+1}[/tex] is [tex]Ran\{f\circ g\,(x)\} = (0, +\infty)[/tex].

Step-by-step explanation:

Let [tex]f\circ g \,(x) = 2^{x+1}[/tex], [tex]\forall\, x \in \mathbb{R}[/tex]. The graphic represents a power function, whose lower bound is the horizontal asymptote [tex]y=0[/tex]. From the graphic we find the range of the composite function corresponds to the values of the function associated with the vertical axis (y-axis).

Hence, the range of [tex]f\circ g \,(x) = 2^{x+1}[/tex] is [tex]Ran\{f\circ g\,(x)\} = (0, +\infty)[/tex].

Answer:  

✔ y > 0.

Step-by-step explanation:

edg 2021

Write the following in standard form: eight and twelve thousandths.

Answers

Answer:

8.012

Step-by-step explanation:

standard : 8.012

written: eight and twelve thousandths.

8.012 hopes this helps

Sara went to breakfast with her family. What is the total cost is the sales tax is 6%?​

Answers

Answer:

divide/multiply

Step-by-step explanation:

search it up its simple

There were 120 students at a creative writing workshop last year. This year there are 138 students. What is the percent of increase in the number of students at the workshop?

Answers

Answer:

34%

Step-by-step explanation:

The percent of increase in the number of students at the workshop is 15%.

Given that, there were 120 students at a creative writing workshop last year. This year there are 138 students.

What is percentage increase formula?

The percentage increase formula is used to compare the growth in a quantity from the initial value to its final value, over a period of time. Mathematically, this formula is represented as the difference between the final value and the initial value which is divided by the initial value and then multiplied by 100.

Here, initial value = 120 students and final value = 138 students.

Difference in value = Final value - Initial value

=138-120=18

Percentage of increase = [tex]\frac{18}{120}\times 100[/tex]

= 15%

Therefore, the percent of increase in the number of students at the workshop is 15%.

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if a model of an airplane is 1/16 scale (1 in.= 16ft), how many inches long would the model be if a certain airplane were 48 ft long? ​

Answers

Answer:

3inchs

Step-by-step explanation:

So with the information we have we know that the airplane is 48ft long and the model is at a 1/16 scale with 1inch=16ft so we just need to divide 48/16 which equals 3

f−1(f(x)) = f(f−1(x)) =

Answers

Given:

[tex]f^{-1}(f(x))=f(f^{-1}(x))=?[/tex]

To find:

The missing value.

Solution:

We have,

[tex]f^{-1}(f(x))=f(f^{-1}(x))=?[/tex]       ...(i)

We know that, if [tex]f(x)[/tex] is a function and [tex]f^{-1}(x)[/tex] is its inverse function, then

[tex]f^{-1}(f(x))=f(f^{-1}(x))=x[/tex]          ...(ii)

From (i) and (ii), we get

Missing value = [tex]x[/tex]

Therefore, the missing value is [tex]x[/tex], i.e., [tex]f^{-1}(f(x))=f(f^{-1}(x))=x[/tex].

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