What is the product of ( 4 + 3 i ) and ( 12 − 2 i )

Answers

Answer 1

Answer:

54 + 28i

Step-by-step explanation:

I hope this helps!!!


Related Questions

which number s below belong to the solution set of the inequality check all that apply 4 times less than 112 pls help me

Answers

The values of "s" that belongs to the solution set must be less than 28.5

The inequality that represents the statement 4 times "s" less than 112 is expressed as;

4s < 112

Divide both sides of the inequality expression by 4 as shown:

4s/4 < 114/4

s < 114/4

s < 28.5

Hence the values of "s" that belongs to the solution set must be less than 28.5

Learn more on inequalities here: https://brainly.com/question/12371526

Determina el lado faltante de cada triángulo presentado emplea dos cifras decimales

Answers

Listamos los lados faltantes a continuación:

[tex]c \approx \sqrt{34}\,cm[/tex] [tex]z \approx 5.098\,cm[/tex] [tex]p = 5\,cm[/tex] [tex]l\approx 3.680\,cm[/tex]

El teorema de Pitágoras establece que la medida de la hipotenusa ([tex]c[/tex]), en centímetros, de un triángulo rectángulo es igual a la raíz cuadrada de la suma de los cuadrados de los catetos ([tex]a,b[/tex]), en centímetros. La fórmula se encuentra expresada a continuación:

[tex]c^{2} = a^{2}+b^{2}[/tex] (1)

La hipotenusa es el lado de mayor longitud del triángulo, los catetos son los dos lados restantes.

A continuación, procedemos a resolver cada caso:

1) [tex]a = 3\,cm[/tex], [tex]b = 5\,cm[/tex]

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

[tex]c = \sqrt{(3\,cm)^{2}+(5\,cm)^{2}}[/tex]

[tex]c \approx \sqrt{34}\,cm[/tex]

2) [tex]x = 6.8\,cm[/tex], [tex]y = 4.5\,cm[/tex]

[tex]z = \sqrt{x^{2}-y^{2}}[/tex]

[tex]z = \sqrt{(6.8\,cm)^{2}-(4.5\,cm)^{2}}[/tex]

[tex]z \approx 5.098\,cm[/tex]

3) [tex]n = 13\,cm[/tex], [tex]m = 12\,cm[/tex]

[tex]p = \sqrt{n^{2}-m^{2}}[/tex]

[tex]p = \sqrt{(13\,cm)^{2}-(12\,cm)^{2}}[/tex]

[tex]p = 5\,cm[/tex]

4) [tex]m = 2.7\,cm[/tex], [tex]s = 2.5\,cm[/tex]

[tex]l = \sqrt{m^{2}+s^{2}}[/tex]

[tex]l = \sqrt{(2.7\,cm)^{2}+(2.5\,cm)^{2}}[/tex]

[tex]l\approx 3.680\,cm[/tex]

Para aprender más sobre el teorema de Pitágoras, invitamos cordialmente a ver esta pregunta: https://brainly.com/question/343682



Find the Principal:
$65 interest
2% interest rate
9 months

Answers

Answer: P = 36.11111

Step-by-step explanation:

Formula: P = I / (RT)

65 / (.02*9)

(.02 is the decimal form of 2%)

65 / 1.8 = 36.111111111

P = 36.111111 (Unsimplified answer)

Correct me if it is incorrect.

Hard work problem please help me find the sum

Answers

-3 + -2 + -4 = -9

the total is -9

A 2-column table with 6 rows. The first column is labeled x with entries negative 4, negative 2, 0, 2, 4, 6. The second column is labeled f of x with entries 0, 2, 8, 2, 0, negative 2.
What are all of the x-intercepts of the continuous function in the table?

(0, 8)
(–4, 0)
(–4, 0), (4, 0)
(–4, 0), (0, 8), (4, 0)

Answers

384 +37289 x 638203

then you will get the calculation

Answer:

its option c i believe

What type of triangle is ACD?










Thank u

Answers

Answer:

equilateral triangle

Step-by-step explanation:

B. equilateral triangle


Find the area of the polygon.

Answers

Answer

the area is 26 cm

Step-by-step explanation:

for the first part well call it box C box c is 2 cm by 1 cm the area of that box is 2 because 2 x 1 =2

for box B which is 2 cm by 6 cm because you add the 3 on the bottom to the 3 on the top so box B = 12

for box A  it is 3 by 4 so that would be 12

you add the results together 12+12+2=26cm

Geometry - Isosceles & Equilateral triangles

Solve for x *

Answers

Answer:

7

Step-by-step explanation:

all sides in equilateral triangle are equal so side to the bottom is 56ft

base sides same in isosceles triangle so 56 = 8x

8x=56

56/8 is 7

The department of education decides to require an additional 2 tests per year of standardized test for all 10th graders. Would this equation be linear or exponential?
Group of answer choices

Exponential

Linear

Answers

It would be linear because it goes up each year by two.
If this is right may I have brainliest?

Matt is 54 3/ inches tall. Nancy is 1 3/8 inches taller than Matt and Jane is 1 1/5
inches taller than Nancy. How tall is Jane?

Answers

Jane is 8 13/40 inches tall

Given the following:

Height of Matt = 5 3/4 in = 23/4 in

If Nancy is 1 3/8 inches taller than Matt, hence;

Height of Nancy = 23/4 + 11/8 = 46+11/8 Height of Nancy = 57/8 in

if Jane is 1 1/5  inches taller than Nancy, then the height of Jane will be;

Height of Jane = 57/8 + 6/5Height of Jane = 285+48/40Height of Jane = 333/40 = 8 13/40 inches

Hence Jane is 8 13/40 inches tall

Learn more on sum here: https://brainly.com/question/2929160

Need answer ASAP thanks

Answers

Answer:

0.05

Step-by-step explanation:

hope this helps! :D

you have a miraculous everybody!! <3

Answer: 0.50

Step-by-step explanation:

The ^-2 means to move the decimal 2 times to the left.

5 * 0.10 = 0.50

Use the line of best fit to estimate the French score for a student who got 65 in maths.

Answers

Using a linear function, it is found that the estimated French score is of 38.1875.

A linear function has the following format:

[tex]y = mx + b[/tex]

In which:

m is the slope.b is the y-intercept.

Searching the problem on the internet, it is found that two points of the line of best-fit are: (10,65) and (90,26).

The slope is given by change in the output divided by the change in the input, hence:

[tex]m = \frac{26 - 65}{90 - 10} = -0.4875[/tex]

Then:

[tex]y = -0.4875x + b[/tex]

Point (10,65) means that when [tex]x = 10, y = 65[/tex], and this is used to find b.

[tex]y = -0.4875x + b[/tex]

[tex]65 = -0.4875(10) + b[/tex]

[tex]b = 69.875[/tex]

Hence:

[tex]y = -0.4875x + 69.875[/tex]

For a student who got 65 in math, x = 65, and hence:

[tex]y = -0.4875(65) + 69.875 = 38.1875[/tex]

The estimated French score is of 38.1875.

For more on linear functions, you can check https://brainly.com/question/16302622

The sum of Ellie's age and Genya's age is 60. In sex years, Genya will be eight times older than Ellie will be. How old is Ellie now?

Answers

Answer:

ellie is 2 and genya is 58, explanation in picture attached

Rebecca savings account pays a simple annual interest rate of 2.5%. suppose she deposits $4280 in the account and makes up no additional deposits or withdrawals for 4 years. What will the total value of the account be after 4 years?

Answers

Answer 4708
I Hope This Helps

Answer: 4708

Step-by-step explanation:

That's what we know:                  

Plan and substitute:

Work out the item or remainder:

Work out the aggregate or contrast:

Work out the item or remainder:

Reply:

These are just the step sorry couldn't find any way to help so I recommend to use gauth math but the thing is gauth math some of the answer is incorrect so tried to use it if it help

please solve this problem using the foil method
[tex] {x}^{2} - 9[/tex]

Answers

Answer:

This is already in its simplest form, but if you set the equation equal to zero, it's (x-3)(x+3).

Step-by-step explanation:

x^2-9=0

a= 1

b=0

c=-9

Factors of c (-9) that add up to make b (0): -3, 3

(x-3)(x+3)

we know:   [tex]a^2-b^2=(a+b)(a-b)[/tex]

So:    [tex]x^{2} -9=x^{2} -3^2=(x+3)(x-3)[/tex]

Ok done. Thank to me :>


ASAP HURRY.
A tabletop is shaped like a square with half-circles on two ends.
One side of the square is 0.8 m. To the nearest meter, what is
the perimeter of the tabletop?

Answers

won't it be 3.2 because A square has four sides so you multiply 0.8 by 4

What is the length of side a?

Answers

[tex]\huge \bf༆ Answer ༄[/tex]

According to given figure, The Triangle BDC is a right angled Triangle (Angle D = 90°)

So, we can apply Pythagoras theorem to find the Side a (Hypotenuse)

Now, let's solve ~

[tex] \sf \: BD {}^{2} + CD {}^{2} = BC {}^{2} [/tex]

[tex] \sf4 {}^{2} + {3}^{2} = {a}^{2} [/tex]

[tex] \sf16 + 9 = {a}^{2} [/tex]

[tex] \sf \: a {}^{2} = 25[/tex]

[tex] \sf \: a = \sqrt{25} [/tex]

[tex] \sf \: a = 5 \: units[/tex]

Therefore, Length of side a is 5 units ~

work out the height of a triangular crosse section with the volume of 35cm

Answers

The answer is 2.5 cm.

Sorry if I am incorrect

What is the formula for guess work pricing?

Answers

Answer:

What is the formula for pricing?

Retail Price = Cost of Goods + Markup. Markup = Retail Price – Cost of Goods. Cost of Goods = Retail Price – Markup.

Step-by-step explanation:

find the equation of the line.

y=[ ]x+[ ]

Answers

Answer:

y = -2x + 5

Step-by-step explanation:

Slope = -2

m = slope

y-intercept = 5

b = 5

y = mx + b

y = -2x + 5

represent 3 1/2 pictorically. pls fast​

Answers

Answer:

You are filipino or not I need filipino women

Plz Help...Math..................

Answers

Answer:

6 tons

Step-by-step explanation:

450x12=5,400

550x12=6,600

5,400+6,600=12,000 lbs.

12,000 ÷ 2,000=6 tons

Please help I’ll love u forever

Answers

Answer:

3. non linear

4. weak

Step-by-step explanation:

3. it doesn't go in a line

4. it's a weak association.

The Ride-It Store rents bicycles. The cost is $8.50 for 1 hour, $13.65 for 2 hours, &18.80 for 3 hours, and &23.95 for 4 hours. If the pattern continues, how much will it cost Nate to rent a bike for 6 hours?

Answers

so for each hour the price increases $5.15
so 4 hours = 23.95
5 hours = 23.95 + 5.15 = 29.10
6 hours = 29.10 + 5.15 = 34.25

PLS HELP WILL MARK YOU BRAINLIEST, NO FAKE ANSWERS!!

Answers

Answer:

1. if x + 5 = 12, then x = 7

:Subtraction property of equality

2. If x + y = 20, and y = 5, then x + 5 = 20.

:Substitution property of equality

3. If 2x3 = 11, then 11 = 2x - 3.

:Symmetric property of equality

Steven has $150. John has J dollars. Steven has 30 less than 2 times the amount John has. How much does John have?

Answers

Answer:

J = 90

John has 90 dollars.

Step-by-step explanation:

We need to find how much money John has. To find how much J equals we need to break it down.

We already know that Steven has 150 dollars. We also know that he has 30 less than two times the amount John has.

Steven has 30 less than two times the amount John has.

So 150 + 30 = 180

180 is two times the amount John has.

Because 180 is two times the amount John has we need to divide by two.

180 ÷ 2 = 90.

J = 90. Therefore John has 90 dollars.

This question was tricky! I hope I helped a little! Have a great day!!

A $28 video game is advertised for 20% off. Find the sale price of the video game

Answers

Answer:

They are asking for the SALE price, not the actual price.

28×0.2= $5.60

Order them from least to greatest

5(exponent 0), 5(exponent 4), and 5(exponent -5)

Answers

5^-5, 5^0, 5^4

Explanation:

5^-5 would end up being in the negatives,

5^0 would end up equaling 5 or 0

5^4 is automatically more than 5^0 because 4 is greater than 0.

What is f(5) for the function f(x) = 7x + 1

Answers

7 (5) + 1 = 35 + 1 = 36

So, f(5) = 36

It is 7*5 + 1
= 35 + 1
= 36

The Kicking Cacti and the Sprinting Stingrays met in their town's annual kickball
championship this year. They were so evenly matched that the game lasted 11 innings! The
Stingrays had 3 pitchers, and each of them pitched for the same number of innings.
How long did each of the pitchers for the Stingrays pitch?
Write your answer as a proper fraction or mixed number.
innings

Answers

Using proportions, it is found that each of the pitchers for the Stingrays pitched for [tex]\mathbf{\frac{11}{3} = 3\frac{2}{3}}[/tex] innings.

This question is solved by proportions, using a rule of three.In total, the Stingrays pitched 11 innings, with 3 pitchers. Each pitcher pitched the same amount of innings, hence, 1 pitcher pitched x innings.

The rule of three is:

3 pitchers - 11 innings

1 pitcher - x innings

Applying cross multiplication:

[tex]3x = 11[/tex]

[tex]x = \frac{11}{3}[/tex]

11 divided by 3 has result 3 with remainder 2, hence, also considering the answer as a mixed number:

Each of the pitchers for the Stingrays pitched for [tex]\mathbf{\frac{11}{3} = 3\frac{2}{3}}[/tex] innings.

You can learn more about proportions at https://brainly.com/question/24372153

Other Questions
if atomic mass of Mg atom is 24g,find the mass of 1 Mg atom What is 5/8 divided by 1/4 3/10+21/100 as a fraction How do I find the degree measure? A force is a push or a pull under the right circumstances anything can exert a force push a notebook or some other object so that it slides across a table or desktop what force causes the notebook to start moving what force causes the notebook to stop moving? Question 1) Discuss the types of trace elements in organic compounds? ( Will Mark Brainliest). The mass of fifteen washers is _____ kg, which exerts a force of _____ N im wasting so many points on thesehelp please What is the acceleration of an object if it starts at a speed of 3 m/s and increases to8 m/s in 20 seconds? What are electron Subshells? if you have cancer can it come back or can the surgery work 4. Does the scatterplot have positive correlation, negative correlation, or no correlation?Negative correlationPositive correlationO No correlation Find two numbers whose sum is 36 and whose difference is 10. It is the often the brightly colored, fragrant, and showy part of the flower that attracts the birds and insects that pollinate them and a surface for the pollinator to rest on. Explain the quote: "I am the state." Louis XIVhelp me plz What guided public life in the Han Dynasty?the Analects of Confuciusthe Tripitaka TalesThe Art of Warthe Ramayana Can someone plz help me? What is the sum of the coefficients in the expression below?22y2 + 5x+ y2 - 6xy' +7 Yesterday, jack drove 28 1/2 miles. He used 1 1/4 gallons of gasoline. What is the unite rate for miles per gallon? somebody please help me:(