Writing expression in a+bi form. Picture included!

Writing Expression In A+bi Form. Picture Included!

Answers

Answer 1

Answer:

[tex]-1 - \frac{\sqrt{3}}{2} i[/tex]  

Step-by-step explanation:

[tex]\frac{-4 - \sqrt{-12}}{4}[/tex]

Distributing

[tex]\frac{-4}{4} - \frac{\sqrt{-12}}{4}[/tex]

[tex]-1 - \frac{\sqrt{12 \times -1}}{4}[/tex]

[tex]-1 - \frac{\sqrt{12} \times \sqrt{-1}}{4}[/tex]

[tex]-1 - \frac{\sqrt{12}}{4} i[/tex]

[tex]-1 - \frac{\sqrt{4 \times 3}}{4} i[/tex]

[tex]-1 - \frac{2 \sqrt{3}}{4} i[/tex]

[tex]-1 - \frac{\sqrt{3}}{2} i[/tex]


Related Questions

What is the measure of the arc represented by the numbers 7 and 4 on a clock face? *PLS ANSWER*

Answers

Answer:

90°

Step-by-step explanation:

The clock face is a circle and represents 360°

There are 12 divisions 1- 2- 3- 4 - 5 - 6 - 7 - 8 - 9 - 10- 11 - 12 on the face

Each division = 360° ÷ 12 = 30°

There are 3 divisions between 4 and 7 , thus

arc measure = 3 × 30° = 90°

Answer:

90°

Step-by-step explanation:

What is an x intercept of x^2-64

Answers

Answer:

(8,0)   ( -8,0) are the x intercepts

Step-by-step explanation:

Factor

x^2 - 64

This is the difference of squares

(x-8) (x+8)

Set equal to zero to find the intercepts

x-8 = 0    x+8 =0

x= 8  x= -8

Answer: (8,0) and (-8,0)

Step-by-step explanation: It is one positive and one negative 8 because a double positive would be a +64 and a double negative would also be a +64(unless there was another x for example x^2+2x-64.

x^2-64

(x+8) (x-8)

(x+8) (x-8)=0

x+8=0 and x-8=0

(-8,0) and (8,0)

Use the number line and the additive inverse to find the difference. (Negative 3 and one-half) minus (negative 4 and one-fourth) = Negative StartFraction 7 over 2 EndFraction minus (negative StartFraction 17 over 4 EndFraction

Answers

Answer:

EVERYONE IT IS 3/4 lol

Step-by-step explanation:

The difference of the expression (-3 + 1/2) - (-4 + 1/4) is 3/4.

What is Additive Inverse?

Additive inverse in simple terms is meant to add a number with it's opposite sign to get the result as zero.

Mathematically for any number 'a', a + (-a) = 0 implies that -a is the additive inverse of 'a'.

The given expression is, (-3 + 1/2) - (-4 + 1/4).

(-3 + 1/2) - (-4 + 1/4) = [(-3 × 2 + 1) / 2] - [(-4 × 4 + 1) / 4]

                               = (-7/2) - (-17/4)

The additive inverse of (-7/2) is (+7/2).

Adding and subtracting the additive inverse (+7/2),

(-3 + 1/2) - (-4 + 1/4) = (-7/2) - (-17/4) + (7/2) - (7/2)

                               =  (-7/2) + (17/4) + (7/2) - (7/2)

                               = [(-7/2) - (7/2)] + [(17/4) + (7/2)]

                               = (-14/2) + (31/4)

                               = (-28/4) + (31/4)

                               = 3/4

Hence the difference of the expression given is 3/4.

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Which of the following appear in the diagram below? Check all that apply

Answers

Answer:

I think it A, B, D but I'm not certain

Answer:

The correct answer is A B and C

Step-by-step explanation:

A is going the correct way through the arrows and not in random order like D. B is also going in the correct way and same with C.

12(x-6)=2(x-9) plzzz help

Answers

Answer:

x=5.4

Step-by-step explanation:

12x-72=2x-18   distribute

-2x     =-2x        subtract

10x-72= -18

     +72=+72    add

10x=54   divide

x=5.4      simplify

Answer:

Step-by-step explanation:

12(x−6)=2(x−9)

(12)(x)+(12)(−6)=(2)(x)+(2)(−9)(Distribute)

12x+−72=2x+−18

12x−72=2x−18

Step 2: Subtract 2x from both sides.

12x−72−2x=2x−18−2x

10x−72=−18

Step 3: Add 72 to both sides.

10x−72+72=−18+72

10x=54

Step 4: Divide both sides by 10.

10x

10

=

54

10

x=

27

5

Answer:

x=

27

5

a CD player regularly sells for $80. It is on sale for 20% off. What is the sale price of the CD player?

Answers

-_______________________________

Hey,

Solution,

Marked price(MP)= $ 80

Discount percent= 20%

Now,

Discount amount=discount percent of MP

= 20% of 80

=20/100*80

= $ 16

Again,

Selling price(SP)=MP - Discount amount

=$80 -$16

=$64

So,the sale price of the CD player is $ 64.

Hope it helps...

Good luck on your assignment....

Stay safe...

_______________________________

If the CD player sells regularly for $80 but is on sale for 20% off the sales price will now be $64. The equation used is ? x 0.8 = 20%. Think of teams of 10. 8+2 = 10 right? Now put transfer that to hundreds 80+20 = 100 or in this case 1 whole number. To get a certain percent off you need to x it by 0. (Other part of teams of 10) so if it was 63% off you would do ? x 0.37. If you want to keep it simple though just times the original number, in this case 80, by 0. And then the percentage ( 80 x 0.60 ) that’ll give you how much to take off of $80 to reach 20% off.

Which equation represents the graphed function?

Answers

Answer:

y = 1/4x -2

Step-by-step explanation:

In the diagram below of circle O, chords AB and CD intersect at E. If AE = 6, BE = 4, and
DE=
3, what is the length of CE?*

Answers

Answer: CE= 8

Step-by-step explanation:

Jocelyn sells necklaces for $8 each. It costs her $20 for
materials to make the necklaces. Her net profit is
displayed in the graph to the right, where x represents
the number of necklaces sold, and y represents the net
profit made. Analyze the graph to determine Jocelyn's
net profit after selling 2 necklaces.​

Answers

We see that the slope intercept is y = 8x - 20. So if we substitute x with 2, because x represents the amount of necklaces sold and we are analyzing her net profit after selling 2 necklaces, that gives us y = 8(2) - 20. Which simplifies to y = -4. So by the time Jocelyn sells 2 necklaces, her net profit will be at -4.

Answer:

-$4.00

Step-by-step explanation:

no explanation

the table shows the number of number people in a spinning class each day last week
what is the mean number of people in a class?

Answers

Answer:

How to find mean?

mean of a data can be found by adding all the observations and then dividing it by the number of observations. If you do not post also, you may use this formula to find the mean.

Answer:

Post a table and i can give you a real answer

Step-by-step explanation:

Mean is the average, to find average you add up all the numbers and divide the sum by how many numbers there are

I hope this helps u!

Pls pls PLS give brainliest and a thx ;)

Can anyone help me with this?

Ten less than five times a number is less than six times the number decreased by eight

Answers

Answer:

5n-10 < 6n-8

n - is the variable that's stands for the unspecified number

step 1. ten is less than 5 times a number

step 2. LESS THAN SIGN :)

step 3. six times the number decreased by 8

......................

oh and if you're looking to simplify that problem I believe it would be worked out like this....5n-10<6n-8....subtract 5 from both sides....-10

You put $200 in a savings account. The account earns 2% simple interest per year. What is the interest earned after 5 years?

Answers

$20 because 2% of 200 is 4 times it by 5 is 20

Answer:

20

Step-by-step explanation:

2% / 100 = .02

200x.02x5=20

pls answer brainliest

Answers

Answer:

45 × 5 = 225

Step-by-step explanation:

Please give brainiest.

Answer:

5* 45 = 225

Step-by-step explanation:

as you can see in the second one the denominator is 100* 5 = 500

so we also multiply the numerator

What is the quadratic regression equation that fits these data?
A. y = -2.04x2 +1.46x + 13.92
B. y= -0.70x2 +2.37x + 11.96
c. y = 14.77(0.89)
D. y = -1.04x2+3.04x + 9.68

Answers

Answer:

B)[tex]-0.70x^2+2.37x+11.96[/tex]

Step-by-step explanation:

No. of second                       Height

0                                               12

1                                               13

2                                               15

3                                               13

4                                               9

5                                               7

Quadratic Regression Equation:  [tex]y = a + b x + c x^2[/tex]

[tex]c = \frac{ [ \sum x^2 y * \sum xx ] - [\sum xy \cdot \sum xx^2 ] } { [ \sum xx \cdot \sum x^2 x^2] - [\sum xx^2 ]^2 }[/tex]

[tex]b =\frac{ [ \sum xy \cdot \sum x^2 x^2 ] - [\sum x^2y \cdot \sum xx^2 ] } { [ \sum xx \cdot \sum x^2 x^2] - [\sum xx^2 ]^2 }[/tex]

[tex]a = [ \sum y / n ] - { b \cdot [ \sum x / n ] } - { a \cdot [ \sum x^2 / n ] }[/tex]

Where ,

[tex]\sum x x = [ \sum x^2 ] - [ ( \sum x )^2 / n ]\\\\\sum x y = [ \sum x y ] - [ ( \sum x \cdot \sum y ) / n ]\\\\\sum x x^2 = [ \sum x^3 ] - [ ( \sum x^ 2 \cdot \sum x ) / n ]\\\\\sum x^2 y = [ \sum x^2 y] - [ ( \sum x^2 \cdot \sum y ) / n ]\\\\\sum x^2 x^2 = [ \sum x^4 ] - [ ( \sum x^2 )^2 / n ][/tex]

Using these formulas the required equation is :[tex]-0.696 X^2 +2.368 X +11.964[/tex]

So, option B is true

B)[tex]-0.70x^2+2.37x+11.96[/tex]

i will mark brainliest i just need two answers so i could mark one brainliest David surveyed students to find out which school sport they participated in. Below are the results from the first ten people he surveyed. Which type of graph best displays the data? A. circle graph B. line graph C. histogram D. Venn diagram

Answers

Answer:

B. line graph

Step-by-step explanation:

Answer:

it is B.line graph

Step-by-step explanation:

you would use this line graph to answer the questions

line graphs are the best solutions for this question

12. What's the simplified form of 2x + 3 - X + 5?
A. X + 8
B. X-2
C. X-8
D. 3x + 8

Answers

answer: the answer is a

Consider the quadratic function shown in the table below. Which exponential function grows at a faster rate than the quadratic function for

Answers

Answer:

the exponential function is g(x)

Step-by-step explanation:

because quadratic function is f(x)

Use the diagram to answer the question.


Line f is on Plane R.

True
False

Answers

Answer:

True

Step-by-step explanation:

If you look at line G it is clearly extending off of plane M while line f doesn't seem to be extending off of plane R.

What's the slope and y-intercept of the equation 3x + 4y = 8?

Answers

Answer:

Slope = -3/4

y-intercept = 2

Step-by-step explanation:

[tex]3x+4y = 8\\\therefore 4y = -3x +8\\\therefore y = \frac{-3}{4}x+ \frac{8}{4}\\\therefore y = \frac{-3}{4}x+2\\Equating \: it \: with\: \\y=mx+b\\Slope\:(m) = \frac{-3}{4}\\y-intercept\:(b) = 2[/tex]

Y intercept is 2
Slope is -3/4

Suppose that the weight, X, in pounds, of a 40-year-old man is a normal random variable with mean 147 and standard deviation 16. Calculate P(120≤X≤153).

Answers

Answer:

0.6004

Step-by-step explanation:

In spherical geometry, lines are called
circles.
O A. semi-
OB. closed
O C. great
O D. open​

Answers

A. semi

Step-by-step explanation:

I hope this helps you

Alex has 70% of her weekly paycheck automatically deposited into a savings account. this week $35. Alex wants to know the total amount of her paycheck this week.

Answers

Answer: The total amount of her paycheck this week is $50

Step-by-step explanation:

Hi, the full question is :

Alex is 70% of her weekly paycheck automatically deposited into a savings account. This week $35 is deposited. Alex wants to know the total amount of your paycheck this week.

So, to answer this question we have to write an equation and solve for x (total amount of the paycheck).

Since 70% of her weekly paycheck is automatically deposited into a savings account. and this week $35 is deposited, we have to multiply the total amount of the paycheck (x) by the percentage deposited in decimal form (70/100), that expression must be equal to the amount deposited (35)

x (70/100) = 35

Solving for x:

x (0.7) =35

x = 35/0.7

x = $50

Answer:

Step-by-step explAlex is 70% of her weekly paycheck automatically deposited into a savings account. This week $35 is deposited. Alex wants to know the total amount of your paycheck this week.

So, to answer this question we have to write an equation and solve for x (total amount of the paycheck).

Since 70% of her weekly paycheck is automatically deposited into a savings account. and this week $35 is deposited, we have to multiply the total amount of the paycheck (x) by the percentage deposited in decimal form (70/100), that expression must be equal to the amount deposited (35)

x (70/100) = 35

Solving for x:

x (0.7) =35

x = 35/0.7

x = $50

anation:

Which of the following statements would be represented with P ↔ Q? Question 1 options: A) If a quadrilateral has four congruent angles, then it's a rectangle. B) If a quadrilateral has four congruent sides, then it's either a square or a rhombus. C) A quadrilateral with four congruent sides and four right angles is a square. D) A quadrilateral has four congruent sides and four right angles if and only if it's a square.

Answers

Answer:

C) A quadrilateral with four congruent sides and four right angles is a square.

The  P ↔ Q represents A quadrilateral with four congruent sides and four right angles is a square.

What is Quadrilateral?

A closed quadrilateral has four sides, four vertices, and four angles. It is a form of polygon. In order to create it, four non-collinear points are joined. Quadrilaterals always have a total internal angle of 360 degrees.

Given:

If a quadrilateral has four congruent angles, then it's a rectangle.

the statement cannot be true because the same property also carried by Square.

If a quadrilateral has four congruent sides, then it's either a square or a rhombus but reverse is not possible.

A quadrilateral with four congruent sides and four right angles is a square.

The statement is perfectly true because the reverse is also possible.

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Select all of the following true statements if R = real numbers, Z = integers, and W = {0, 1, 2, ...).
0-2EW
DOCR
OWCZ
ORCW
(0.1.2...] SW
DOEZ
??

Answers

Answer4:

Step-by-step explanation:

X;1

Martha borrowed $4,508. She will pay the money back along with 3.5% interest. After a year, she has only paid back 75% of the loan. How much money has she paid so far? PLZ ANSWER ASAP

Answers

Martha has paid 1,534 so far

Round 3504 to 3 significant figures

Answers

3504
Sig Figs
4
Decimals
0
Scientific Notation
3.504 × 103

Add.
4x^2 - 6x +3
2x^2+7x-8

Answers

Answer:

6x^2 + 2x - 5 (Option C)

Step-by-step explanation:

1. First, add 4x^2 and 2x^2 together (which is 6x^2). You can figure this out by adding 4 and 2.

2. Second, add -5x and 7x (which is 2x)

3. Lastly, subtract 3 and 8, which is -5

WHY DOES THE ANSWER HAVE A NEGATIVE 5?

The equation looks like this: +3 + -8

You are adding 3 to -8, which is the same as subtracting positive 3 and positive 8 (positive times a negative is a negative or a minus sign)

Answer:

C. 6x^2 + 2x - 5

Step-by-step explanation:

4x^2 + 2x^2 = 6x^2

-5x + 7x = 2x

3 - 8 = -5

Therefore,

4x^2-5x+3 + 2x^2+7x-8 = 6x^2+2x-5

Ming is painting a picture. He has 2/3 pint of red paint, 2/8 pint of yellow paint and 2/6 pint of green paint. Which list orders the fractions frommhreatest to leas

Answers

Answer:

2/3,2/6,2/8

Step-by-step explanation:

Simplify the following expression: -3x(x-4).

Answers

Answer:

The answer is -3x² + 12x.

Step-by-step explanation:

You have to apply Distributive Law,

[tex]a(m + n) = am + an[/tex]

So for this question :

[tex] - 3x(x - 4)[/tex]

[tex] = - 3x(x) - 3x( - 4)[/tex]

[tex] = - 3 {x}^{2} + 12x[/tex]

Answer:

[tex] = - 3 {x}^{2} + 12x \\ [/tex]

Step-by-step explanation:

[tex] - 3x(x - 4) \\ - 3x(x) - 3x ( - 4) \\ = - 3 {x}^{2} + 12x[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

If the perimeter of a square garden is 84 feet, what is the area of the garden?
А 21 sq ft
B 84 sq ft
С 336 sq ft
D 441 sq ft

Answers

Answer:

D.441

Step-by-step explanation:

All sides of a square are equal. Due to this, the perimeter can be expressed as 4 times the side of the square. Let x be the side of a square.

Then we have:

4x = 84

x = 21

The area of a square is written as x^2, as x is both the length and the width.

So your answer will be:

(21)^2 = 441

The area of the garden is  441 sq ft

A square is a quadrilateral with four equal sides.

Characteristics of a square includes:

• The diagonals bisect each other at 90°.

• Opposite sides parallel and of equal length

• The four angles of a square are equal.

Perimeter of a square =4 x length

84 = 4 x length

divide both sides of the equation by 4

84/4 = length

length = 21 feet

Area of a square = length²

21² =  441 sq ft

For more information on how to determine the area of a square, check : https://brainly.com/question/13227863?referrer=searchResults

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