simplify the expression (sqrt3+i)(sqrt3-i) and write the result in the form a+bi

Answers

Answer 1

Answer:

4

Step-by-step explanation:

This expression is a difference of squares.

(√3 + i)(√3 - i) = (√3)²-(i)², which is

3 - (-1)

= 3 + 1

= 4


Related Questions

I dentify the translation the orange triangle a is the pre-image the pre-image moved ___ until horizontally to form the purple triangle b the pre-image moved ___ until vertically units vertically to form the green triangle​

Answers

Answer:

The pre-image moved 5 units horizontally to form the purple triangle, B.

The pre-image moved 4 units vertically to form the green triangle, C.

Step-by-step explanation:

Find the slope and y-intercept of the line in the graph:

Answers

2 i believe i’m pretty sure

Answer:

Slope: -2/3

Y-intercept: 2

What does it mean to SOLVE a system of linear equations?

Answers

Answer:

In solving a system of linear equations, we try to find values for each of the unknowns that will satisfy every equation in the system

Step-by-step explanation:

Calculate the area of the parallelogram, giving your answer correct to 3 significant figures.

Answers

Answer:

114 units²

Step-by-step explanation:

The opposite sides of a parallelogram are congruent, so

AB = CD , that is

13x - 7 = 5x + 9 ( subtract 5x from both sides )

8x - 7 = 9 ( add 7 to both sides )

8x = 16 ( divide both sides by 8 )

x = 2

Then

5x + 9 = 5(2) + 9 = 10 + 9 = 19

3x = 3(2) = 6

The area (A) of a parallelogram is calculated as

A = bh ( b is the base and h the perpendicular height ), thus

A = 19 × 6 = 114 units²

Solve for x (X-9)(x+5)=8(21)

Answers

I think the answer should be x = 10.101326

HURRYYYYYYY

Fill in the blank with the correct number.
A number is divisible by
divisible by four.
if the last two digits form a number
A) 3
B) 4
C) 6
D) Both 3 and 4

Answers

Answer:

D

Step-by-step explanation:

the answer is D: Both 3 and 4

D both 3 and 4 I just copied the person in front of me sorry

A plant is already 54 centimeters tall, and it will grow one centimeter every month. The plant's height, H (in centimeters), after M months is given by the following.
What is the plant's height after 13 months?

Answers

Answer:

67 cm

Step-by-step explanation:

We are given the initial height of the plant let's call it H.

H = 54 cm. This is the original height of the plant at M(months) = 0.

We are given that it grows at 1 cm/month. This is the rate of growth.

Rate = 1

Time (M) is given in Months.

So when M = 0, H = 54

Let's say M = 1, That is one month has passed. In this time the plant's height would have increased by 1 cm. So our plant's height would be H = 54+1 = 55 cm.

When Two months have passed our plant's height would be H = 54 + 2 = 56 cm , since every month our plant gains 1 cm in Height, we can make a fuction for this.

H = 1M + 54.

Now we just plug in 13 for M, to get 13 months.

H = 13 + 54

H = 67 cm

So our plant would be 67 cm in height after 13 months.

please help this is the last question and it’s due soon

Answers

The answer is 2.5million
answer: x=-1 , y=3

x=-2y+5 —> x+2y=5 ——1)

-8x-3y=-1 ————2)

1) x 8,
8x+16y=40————3)

3)+2),
8x+16y-8x-3y=40-1
13y=39
y=39/13
y=3

substitute to 1),
x+(2x3)=5
x=5-6
x=-1

Barry saved $7 less than Nadine. Together they saved $25.
How much did Nadine save? _____

Answers

Nadine saved $16

Barry saved $9
Nadine save $16 25-7=18, 18/2=9 , 9+7=16

How did ancient camels differ from those of today

Answers

Como pongo mi brainly en español porq esta en inglés

I HAVE THE EQATION I NEED THE INDEPENDENT AND DEPENT VARBLE

Answers

Answer:

The independent variable is the number of bushels of corn with the dependent variable being the cost per bushel.

Step-by-step explanation:

The dependent variable depends on the independent variable. The cost per bushel depends on the availability of bushels.

2) y= 4x - 2
3х + 2y = 7
in subsitutuion

Answers

Answer:

x=1

Step-by-step explanation:

Substitute the y equation for the variable y in the second question

3x +2(4x-2)=7

3x+8x-4=7

11x-4=7

11x=11

x=1

What kind of sequence is this? –165, –180, –195, –210

Answers

Looks like a geometric sequence
-15 each time
Hope this help :)

Six friends had lunch together and decided to spilt the bill evenly, If the bill was 48.60 what was everyone’s share?

Answers

Answer:

8.1

Step-by-step explanation:

48.6 /  6 is 8.1 .

The amount of money each friend is required to contribute is $8.1.

What is a unitary method?

A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.

Given, Six friends had lunch together and decided to spilt the bill evenly.

As they have split the bill evenly,

The amount of money each friend needs to contribute can be obtained by dividing the total amount by the total number of friends which is,

= $(48.6/6).

= $8.1

learn more about the unitary method here :

https://brainly.com/question/28276953

#SPJ2

Tell weather each pair is parallel, perpendicular, or neither: 3х + 2y = 5
Зу + 2x = -3

Answers

none of them are parallel


Plz help I don’t understand.

Determine whether the sequence is arithmetic. If yes, identify the common difference and give the next three terms.

( -3, -12, -48, -192, ...)

Answers

Answer:

I do my love a ti love

Step-by-step explanation:

coroneta

Answer:

The sequence is a Gp

Each term can be gotten from multiplying the common difference (4)

Next three terms

(-192×4)= - 768

(-768×4)= - 3172

(-3172×4)= - 12688

Rudy has 10 white seashells 23 pink seashells and 21 brown seashells if he divides his seashells equally between 3 friends how many seashells will each friend get?

Answers

Answer:

21 shells

Step-by-step explanation:

10+23+21=64

64/3=21.33

always round down, you'll have one left over

Answer:

18

Step-by-step explanation:

10+23+21= 54

54/3=18

Which one is it? I got confused plz help

Answers

Answer:

Red: 2.035 x 10(4)

Step-by-step explanation:

Answer:

Red.

Step-by-step explanation:

Scientific notation consists of the ones place with a decimal right after it and a 10 to the something power next to it, therefore red is your answer.

Rewrite the function
g(x) = 4x2 – 28x + 49

Answers

g = 4x^2 - 28x+49x to rewrite the function

Answer:

g(X)=4(x-7/2)^2+0

Step-by-step explanation:

khan said it was right

help me plz i’ll give extra points

Answers

Answer:

B) mass and height

Answer:

B

Step-by-step explanation:

Gravitational potential energy depends on an object's weight and its height above the ground (GPE = weight x height).

PLEASE HELP ITS TIMED!!!
Order from least to greatest -1/2, -3/4, -2/5

Answers

Answer:

-2/5, -1/2, -3/4

Step-by-step explanation:

You have to have the same denominator.

-10/20, -15/20, -8/20

Hope this helps!

what is 1-1 i wanna know because i dont know

Answers

Answer:

Step-by-step explanation: 0

Answer:

0

Step-by-step explanation:

no explanation needed

Massa says that 540 = 6 = 9. Is he right? Explain how you know using an equation.

Answers

Answer:

i think you have written wrong equation

Step-by-step explanation:

the diameter of a bail ball is 6cm. what is the volume? round to the nearest whole number​

Answers

Answer:

lnkbprtngbp knmbmt[onbmorbmntionbtlrmbvlnrpoigmboigmnb

Step-by-step explanation:

During their field trip the students had the following lunch options. For their main meal they had four options: Sandwich, Burger, Pizza and Chicken Tenders. For drinks their options was limited to two options Water and Gatorade. And for their side order they had two options: chips or fries. What is the probability than the next person will choose to have Chips for their meal?

Answers

Answer:

50%

Step-by-step explanation:

beacuse their are only 2 options which means 50% for each option. so when the student goes to pick there is a 50% chance their pick either one.

The answer is 50 for your question

hmark 1 - Item 205023
Erin received the following scores on her last four spelling tests.
23, 82%, 0.8,
17
20
Which of these is Erin's highest score?

Answers

Answer:

82% is her highest score

Step-by-step explanation:

82 is greater than 23, 80, 17 and 20

Solve 7(f-5) = 28
Help meeeee

Answers

7f - 35 = 28
7f = 63
F = 9

Answer:

7(f-5)=28

f-5=28/7

f-5=4

f=9

PLEASE HELP I WILL MARK BRAINLEST 20 POINTS
what would be x in this ordered pair (3 -8)

Answers

Answer:

3

Step-by-step explanation:

X goes first

Answer:

X is the 3

Step-by-step explanation:

Ordered pairs always go (x,y) X will always be the number on the left.

Elena is feeding her neighbor’s dogs. Each dog gets 1/2 cup of dog food, and she uses 3 cups of food when she feeds them. How many dogs does her neighbor have?

Answers

Answer:

brainliest please

Step-by-step explanation:

6 dogs because 1/2 cup per dog 6 divided by 3 = 1/2 or 2

so2 dogs per cup

help me plz i’m begging

Answers

Answer:

I believe the answer is the first one. definitely not the third or fourth. and it should only be exponented by t not 2t because then it'd be double what you should have.

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