What is the sum of sqrt3 - i and 2 - sqrt3i?

Answers

Answer 1

Answer:

THE ANSWER IS B YALL I GUESSED AND GOT IT RIGHT

Step-by-step explanation:

HAVE A NICE DAY :)

Answer 2

The sum of given numbers is 2+√3 +i(-1+√3)

How to add complex numbers?

A complex number is a kind of number which has two parts:

Real partImaginary part

The real part consists of real numbers whereas the imaginary part consists of numbers like i (iota=√-1)and its multiples.

When we add complex numbers, we add the real part and the imaginary part separately.

In this question:

Adding real parts: √3 +2Adding imaginary part: -i+√3i=i(√3-1)

Therefore, we get a new complex number that is √3+2+i(√3-1).

To know more about sum of complex numbers refer:https://brainly.com/question/10251853

#SPJ2


Related Questions

martin has \frac{5}{6} of pizza liam has 4 times as much pizza

Answers

Answer:

10/3 pizza

Step-by-step explanation:

step one:

This problem is focused on ratios and fractions

from the problem statement, Martin has 5/6 pizza

Liam has 4 times more of what Martin have

step two:

so we can express what Liam has as

=(5/6)*4 = 20/6or

=5/6+5/6+5/6+5/6= 20/6

= 20/6

Add. Write your answer in simplest form. 3/8+2/5

Answers

Answer:

31/40

Step-by-step explanation:

it cannot be simplified any further

Answer:

3/4

Step-by-step explanation:

First, you have to find a common demenator between the fractions, you can do this by multiplying the denomenators together, 8 * 5 is 40

Next, you have to multiply the first fraction by 5/5 and the second fraction by 8/8 and now you have 15/40 + 16/40, and now that the fractions have the same denomenators you can just add the numerators

And you get 30/40, which can be reduced to 3/4 by diviging both the numerator and denomenator by 10

find hcf of x³y and x⁴y³
no a and d ​

Answers

Answer:

See solutions below

Step-by-step explanation:

a) Given the expressions

x³y and x⁴y³

Find their factors

x³y = (x * x * x * y)

x⁴y³ = (x * x * x * y) * x * y * y

GCF = x*x*x*y

GCF = x³y

The expressions in parenthesis is the GCF. Hence the GCF of x³y and x⁴y³ is x³y

b) For 48m⁶n⁵p⁴ and 20m⁴n⁵p⁶

48m⁶n⁵p⁴ =12 * (4 * m⁴ * n⁵ * p⁴) * m²  

20m⁴n⁵p⁶ = 5 * (4 * m⁴ * n⁵ * p⁴) * p²  

GCF is the expression common to both terms

GCF = 4 * m⁴ * n⁵ * p⁴

GCF = 4m⁴n⁵p⁴

Write 1/b9 in standard exponential form

Answers

Answer:

Step-by-step explanation:

exponent on 1 is 9

2 black 5 grey and 1 white marbles. What is the likelihood pf picking white?

Answers

Answer: The probability is 5/6

Step-by-step explanation:

7. The value of a piece of land in a town is
increasing every year. Its value, in dollars, t
years after 1970 and until 2001 can be modeled
by the function 31,000(1.001). What is the
domain of the function?
OA. All whole numbers greater than or equal to
1971 and less than or equal to 2001.
OB. All real numbers greater than or equal to
1971 and less than or equal to 2001.
Oc. All non-negative real numbers less than or
equal to 31.
OD. All whole numbers less than or equal to 31

Answers

it is C

Step-by-step explanation:

got an A for homework

What is the area of the figure?

Answers

the area is 12 feet

two expressions that are equivalent to 7x10^-4​

Answers

Answer:

two expressions that are equivalent to 7x10^-4

=7/10000or 7/10^4

What is the measure of the indicated angle? 37∘ 53∘ 180∘ 127∘

Answers

Answer:

53∘

plz mark me as brainliest.

The manager at a grocery store took a survey to determine the price of milk at 10 other stores in the area. The prices are
shown in the table.
$2.99 $3.19 $3.29 $2.99 $3.19
$2.79 $2.89 $2.99 $2.99
$2.99
The price of milk at another grocery store is $4.49. What does this outlier do to the data?
OA. It skews the data to the right.
OB. It increases the mode.
O C. It increases the median.
O D. It decreases the interquartile range

Answers

Answer:

A it skews the data to the right

Step-by-step explanation:

A

What is the speed of a car that traveled a
total of 300 kilometers north in 2 hours?

Answers

Speed = Distance/Time

So, speed

= 300 km/2h

= 150km/h

= (150 × 1000m) / 3600s

= 150000m/3600s

= 41.66m/s [approximately]

Evaluate the expression is a=2 and b=-1.
20-3b

Answers

Answer:

23

Step-by-step explanation:

20 - 3(-1)

20 - (-3)

20 + 3 =

23

Plzzz helppp me it’s a test meeee and help with with both number 9 and 10 plzzzz thank you

Answers

Answer:

Pretty sure it’s D

Step-by-step explanation:


Which of the following is true?
Swing Company
A -1 > 3
B -26 > -14
C -20 < 0
D 9 < -7

Answers

Answer:

C..... I think it is a answer

simplify (3x^2 y^5)^4

Answers

Answer:

Step-by-step explanation:

Equation is below

Step 1

(3x^2 y^5)^4  

Step 2

(3x^2 y^5)^4  Simplify

81x^8y^20

Step 3

81x^8y^20  check

Answer

81x^8y^20

Hope this helped

Find the measure of line segment MK. K 8 I 7 J M 5 2x+1

Answers

Hello!

This is a problem about relating circle theorems to line lengths.

We can first see that both line segment MK and CM are secants within the circle that come from a common point K.

This means that the Intersecting Secant Theorem applies here.

The Intersecting Secant Theorem states that if two secants are formed from a common point outside the circle, the length of each secant multiplied by the length of its corresponding external secant are equivalent.

We can set up the following equation.

[tex]8(8+x+5)=7(7+2x+1)[/tex]

[tex]8(x+13)=7(2x+8)[/tex]

[tex]8x+104=14x+56[/tex]

[tex]6x=48[/tex]

[tex]x=8[/tex]

Using this value, we can find the length of line segment MK.

[tex]MK=x+5+8[/tex]

[tex]MK=8+5+8[/tex]

[tex]MK=21[/tex]

Hope this helps!

im so sleepy but i need help

Answers

Answer:

choice 2) y ≤ 1

Step-by-step explanation:

Answer: B I think!

Step-by-step explanation:

warm up:Area.how many square units will it take to fill up this rectangle?

Answers

Answer:

12

Step-by-step explanation:

here's your solution

=> area of rectangle = length*width

=> area 4*3 = 12.squnit

=> area of square = side^2

=> area = 1.squnit

=> Number of square = area of rectangle/area of square

=> no of square = 12/1

=>. 12

If the function rule is 5x, what is the value when x=4

Answers

20 will be the answer when x=4

Please help me with this trigonometry work!

Answers

Answer:

We have a triangle rectangle here.

We know that:

AC =  15

BC = 8

AB = 17

We know that in a triangle rectangle the longest side is the hypotenuse.

In the image we can see that the shorter side is the base, then BC is the base.

AC is the height.

AB is the hypotenuse.

Such that:

A is the top vertex.

B is the bottom right vertex

C is the bottom left vertex.

Now you need to remember the relations:

Sin(θ) = (opposite cathetus)/(hypotenuse)

Cos(θ) = (adjacent cathetus)/(hypotenuse)

Tan(θ) = (opposite cathetus)/(adjacent cathetus)

then:

Sin (A) = (AC)/(AB) = 15/17 = 0.88

Cos(B) = (AC)/(AB) = 15/17 = 0.88

Tan(B) = (AC)/(CB) = 15/8 = 1.875

Now we want to find the measure of angle A.

We know that:

Sin(A) = 0.88

Then if we apply the Asin( ) function in both sides, we get:

Asin( Sin(A)) = Asin(0.88)

A = Asin(0.88) = 61.6°

(the Asin() function is the inverse of the sin() function)

Now we have:

sin(x) = 0.906

We do the same thing as before.

Asin(sin(x)) = Asin(0.906)

x = Asin(0.906) = 65°

And:

Sin(87°) = 0.999

algebra 1 lesson 7.1.4 jorunal

Answers

Answer:

is there supposed to be a picture connected to this?

Answer:

what is the question?

Step-by-step explanation:

please let me know.

thanks

Is 1 hour is 9 miles, how many hours is 15 miles?

1 hr = 9 mi

__hr = 15 mi

Answers

1.67 hr or 1 and 2/3 hours
Or 1 hour and 40 min

PLEASE HELP FAST!!!!!!!!!

Answers

Answer:

132 degrees

Step-by-step explanation:

To solve this problem, you need to know a couple of rules

1) Inscribed angle theroem: when an angle is inscribed in a circle and touches the other end (as opposed to ending at the diameter of the circle), the measure of this angle is half of the measure of the arc.

2)Angles of a quadrilateral shape add up to 360 degrees.

3) The angles inside a circle and the angles of the circles arclength adds up to 360 degrees.

So first, solve angle S with inscribed angle theorem. 126/2 = 63

Then, use the rule that all arc angles in a circle add up to 360 degrees to find the arc angle from Q to S. 360-90-126 = 144. Now find angle P with inscribed angle theorem by doing 144/2 = 72.

Now, use the rule that all angles in a quadrilateral add up to 360 to find R. 360-93-72-63 = 132.  

Let me know if this doesn't work, I'll look at it again.


State the horizontal asymptote of the rational function. F(x) = 5x + 1/ 9x -2

Answers

Answer:

[tex]y=\frac{5}{9}[/tex]

Step-by-step explanation:

For the graph of [tex]y=f(x)[/tex],

the horizontal asymptote becomes [tex]y=\frac{5}{9}[/tex]

Solve for x in the diagram below (x+42)

Answers

Answer:

x = 12

Step-by-step explanation:

(x + 42)° + 3x° = 90°

x + 3x + 42 = 90

4x = 90 - 42

4x = 48

x = 12

Answer please!! Thank you so much

Answers

Answer:

the first one is 4.03 and the second one os 4.33

Answer:

4.03 and 4.33 is the answer.

Step-by-step explanation:

The numbers increase by +0.1

∴ 4.03, 4.13, 4.23, 4.33, 4.43, 4.53

mike is training to run a marathon. currently, he can run 4 miles in 44 minutes. if he maintains this running speed, how long will it take him to run 10 miles?

Answers

Answer:

110 minutes or 1 hour 50 minutes

Step-by-step explanation:

44 divided into 4 since we want to find out how much time it takes to run 1 mile, so 44 divided into 4 is 11

then simply multiply 11 with 10 and the answer is 110

: )

Steps included or some steps, thank you!

Answers

Answer: x = -3/4

Step-by-step explanation:

Remember:

[tex]\sqrt{a}=b\\\\a=b^2[/tex]

-----------------

[tex]\frac{\sqrt{4x + 19} }{2} = 2\\\\\sqrt{4x + 19} = 4\\\\(4x+19)=4^2\\\\4x +19 = 16\\\\4x=16-19\\\\4x = -3\\\\x =\frac{-3}{4}[/tex]

PLEASE HELP ME DUE IN 3 MINUTES THIS IS MY GRADE ON THE LINE HELP MEEEEE

Answers

Answer:

7) is $1.70

8) is 8 miles per hour

9) is Store A is the better buy

10) is 222

11) is the area is 6

12) is the range is 14

8.)8 miles per hour

20 = 150

X = 60

20 x 60 = 150x

1200 = 150x

X = 8

9.)better buy number A

44.68 /16 = 2.7925

31.57 /11 = 2.87

11.) The area of this figure is 6

3 X 2 = 6

12) Range of the data set is 14

15 - 1 = 14

An animal transport van has a weight limit of 5,000 pounds. Which of these animal pairings could the van safely carry?

Answers

Answer:

See Explanation

Step-by-step explanation:

Required

Pair of animal the van can carry

The question is incomplete, as the animals and their weights are not given.

So, we make the following assumed parameters [in other to answer the question]

[tex]Goat = 2500lb[/tex]

[tex]Cow = 4500lb[/tex]

[tex]Dog = 1500lb[/tex]

[tex]Pig = 3000lb[/tex]

Add the weights of any two animals

[tex]Goat + Cow = 2500lb + 4500lb = 7000lb[/tex]

[tex]Goat + Dog = 2500lb + 1500lb = 4000lb[/tex]

[tex]Goat + Pig = 2500lb + 3000lb = 5500lb[/tex]

[tex]Cow + Dog = 4500lb + 1500lb = 6000lb[/tex]

[tex]Cow + Pig = 4500lb + 3000lb = 7500lb[/tex]

[tex]Dog + Pig = 1500lb + 3000lb = 4500lb[/tex]

Next: Select the sum that are less than or equal to 5000lb

[tex]Goat + Dog = 2500lb + 1500lb = 4000lb[/tex]

[tex]Dog + Pig = 1500lb + 3000lb = 4500lb[/tex]

Identify the pairs

(Goat, Dog) and (Dog, Pig)

Using the assumed parameters, the van can only transport the pairing of:

(1) Goat and dog

(2) Dog and pig

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