Multiply (6 − 7i)(3 − 6i).

Answers

Answer 1

Answer:

-24 - 57i

Step-by-step explanation:

i'm assuming that this is a question about imaginary numbers and that i²= -1

we can expand the binomial by using the FOIL method (see attached)

(6 − 7i)(3 − 6i)

= (6)(3) + (6)(-6i) + (-7i)(3) + (-7i)(-6i)

=18 - 36i - 21i + 42i²   (recall that i²= -1)

= 18 - 57i + 42(-1)

= 18 - 57i - 42

= -24 - 57i

Multiply (6 7i)(3 6i).

Related Questions

Steven reads 6 books each month as part of his book club. If Steven has read 18 books so far, how many months has he been with his book club?

Answers

Answer:

3

Step-by-step explanation:

18/6 is 3

Which property was used to simplify the expression? 3c + 9 + 4c = 3c + 4c + 9

Answers

Answer:

Step-by-step explanation:

subtraction

Answer:

distributive property

Step-by-step explanation:

3c+ 9 + 4c = 3c + 4c + 9 A: distributive property

Match the expression on the left with the expression on the right with the same sum or product.
5.9
4 +3
3 + 4
(7.2).5
7 (
25)
9.5
3+ (4+5)
(3 + 4) + 5

Answers

Answer:

5 * 9 --> 9 * 5

3 + (4+5) --> (3+4) + 5

3 + 4 --> 4 + 3

7 * (2*5) --> (7*2) * 5

Step-by-step explanation:

If you look at them correctly, you can see where this is going. This question of matching is using commutative property.

Your Welcome :)

Answer:

5.9 * 9 —— 9*5
7*(2*5) —— (7*2)*5

3+(4+5) ——(3+4)+5

3+4—— 4+3

Step-by-step explanation:

got the question correct

Use the Symmetry of a Function to Find Coordinates f is an even function. a = A 2-column table with 4 rows. Column 1 is labeled x with entries negative 2, 0, 2, 3. Column 2 is labeled f (x) with entries 4, 5, a, 7. g is an odd function b = A 2-column table with 4 rows. Column 1 is labeled x with entries negative 2, 0, 2, 3. Column 2 is labeled f (x) with entries b, 0, negative 3, negative 4.

Answers

Answer:a=4 b=3

Step-by-step explanation:

Tbh I just guessed and got them

The requried value of the unknowns in the function is given as a = 4 and b = 3.

What are functions?

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

here,
As mentioned in the question,
For even function table is given,
x    ⇒   -2,  0, 2,  3
f(x)  ⇒   4   5   a   7

For even function,
f(x) = f(-x)

From table,
f(2) = f(-2) = 4
So, a = 4

For odd functions,
f(-x) = -f(x)    [f(-x) ≠ f(x)]
f(-2) = -f(2)
b = 3, [f(2) = -3 from table]

Thus, the requried value of the unknowns in the tables is given as a = 4 and b = 3.

Learn more about function here:

brainly.com/question/21145944

#SPJ2

If the sales tax of a state is 7.55% what is the price of a $125 pair of shoes?

Answers

Answer:

the shoes cost $134.43 with tax

If a and B are the zeros of the quadratic polynomial f(x) = x2- 5x + 4 find the value of 1/a+1/b-2ab

Answers

Answer:

-27/4

Step-by-step explanation:

Given the quadratic polynomial given as g(x) = x²- 5x + 4, the zeros of the quadratic polynomial occurs at g(x) = 0 such that x²- 5x + 4 = 0.

Factorizing the resulting equation to get the roots

x²- 5x + 4 = 0

(x²- x)-(4 x + 4) = 0

x(x-1)-4(x-1) = 0

(x-1)(x-4) = 0

x-1 = 0 and x-4 = 0

x = 1 and x = 4

Since a and b are known to be the root then we can say a = 1 and b =4

Substituting the given values into the equation  1/a+1/b-2 ab , we will have;

= 1/1 + 1/4 - 2*1*4

= 1 + 1/4 - 8

= 5/4 - 8

Find the Lowest common multiple

= (5-32)/4

= -27/4

Hence the required value is -27/4

PLZ HELP ASPPP I WILL MARK YOU AS BRAINLIST
If PQ=29 and QR=51 find PR.

Answers

It would be 80 I’m pretty sure?
(The answer is PR=80) The reasoning for this is you have to add PQ and QR together in order to get PR

Which expression is equivalent to 3 - 2
Choose 1 answer:
А
--3
+
-2
B
D
- 2

Answers

Answer:

-2+3

Step-by-step explanation:

what is the answer of 10 times 10

Answers

Answer:

1000

Step-by-step explanation:

10x10=100

Answer: 100

Step-by-step explanation:

10 × 10=100

Or...

You can remember as whenever you time something with 10, you add an 0 at the end to the first number

98 × 10=980 ⇔ you simply just add an zero

what are the coordinates of B if the midpoint of line segment AB is (2, -5) and the coordinates of point A is (4, 4)?

Answers

Midpoints are (3,0)

Solve for p in the literal equation 7p + 9r = 9.
p =

Answers

Answer:

       p = -7

Step-by-step explanation:

7p + 9r = 9

      -9    -9

      7p = 0

      -7     -7

        p = -7

     

Find the distance from D (-6, -2) to T (7,-8)

Answers

Answer:

(13, 6)

Step-by-step explanation:

Step 1:

Make turn everything into absolute value. Which makes it positive.

Step 2:

6 = 7 = 13

Step 2:

8 - 6 = 4

Answer:

(13, 6)

Hope This Helps :)

Express 4 tickets for $25 as a unit rate

Answers

Unit rate is the amount it costs for 1.

Divide total cost by number bought:

25/4 = 6.25

Unit price = $6.25 per ticket

Allison wants to buy a skirt that has a regular price of $30. The skirt is on sale for 1/5 off the regular price. Allison has a coupon that will take 1/10 off the sale price. There is no sales tax on clothing. If Allison pays with a $50 bill, how much change will she receive? (Note: Express the answer as dollars.cents.)

Answers

Answer:28.4

Step-by-step explanation:

The amount of change received is $28.4.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Regular price = $30

Selling price = (30 - 1/5 x 30) = 30 - 6 = $24

Coupon off = 1/10 x 24 = 2.4

The amount the shirt was bought.

= 30 - 6 - 2.4

= 30 - 8.4

= 21.6

The change was received.

= 50 - 21.6

= $28.4

Thus,

$28.4 is received as changed.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ2

Joseph grew 2 centimeters in 12 weeks how much is this in inches per year

Answers

Answer:

About 3.41 inches per year

Step-by-step explanation:

2 cm per 12 week

52 weeks in a year

52/12 = about 4.33

2 cm * 4.33 =  about 8.67 cm

2.54 cm = 1 inch

8.67/2.54 = about 3.41 inches per year

Hope this helps!

(pls mark brainliest)

Z A deep-sea diver is exploring a ship at a depth of 200 below sea
level The diver decends at a rate of -15 feet per minute. How deep
was the diver at 12 minutes?

Answers

Answer:

The diver was -180 feet below sea level at 12 minutes.

Step-by-step explanation:

Multiply -15 by 12 and you should get -180.

A cylindrical cup has a circular base of radius 7cm and height 10cm, calculate its curved surface area. take pie as 3.1​

Answers

Answer:

264.89cm^2

Step-by-step explanation:

CSA of cylinder=πrl

= 3.1 × 7 ×√149

= 264.89cm^2

Compute the exact value of the function for the given x-value. f(x) = 6x for x = 3

Answers

You plug in x to the function. So it would be 6(3). 6 x 3 is 18, so f(x)=18.

what is the round up form of 52.149 in the nearest hundreths​

Answers

Answer:

52.15

Step-by-step explanation:

52.149

Since last digit is 9,

The tenth digit, which is 4 gets rounded to 5.

Therefore answer: 52.15

Answer: 52.15

Step-by-step explanation: you would round to .05 because the 9 is bigger than five. greater than five round up less than 4 keep the same :) hopes this helps

2 perfect squares of 102

Answers

Step-by-step explanation:

102^2 = 10404

102×102=10404

Calculate the interest earned and total amount of money for the following: 1. Principal: $4,500 Interest: 7% 2. Principal: $1,500 Interest: 4% 3. Principal: $7,500 Interest: 3%

Answers

I forgot how to do this sorry.

-5(4x-2)=-2(3+6x) multi step equation

Answers

Answer:

X=2, please mark me brainliest

Step-by-step explanation:

−5(4x−2)=−2(3+6x)

(−5)(4x)+(−5)(−2)=(−2)(3)+(−2)(6x)(Distribute)

−20x+10=−6+−12x

−20x+10=−12x−6

Step 2: Add 12x to both sides.

−20x+10+12x=−12x−6+12x

−8x+10=−6

Step 3: Subtract 10 from both sides.

−8x+10−10=−6−10

−8x=−16

Step 4: Divide both sides by -8.

−8x

−8

=

−16

−8

x=2

The first five terms in a pattern are shown below.

3, -3, -9, -15, -21, ...

If the pattern continues, which expression can be used to find the nth term?

Answers

Answer:

-45 because it is the nth term in the sequence just trust me.. ;)  Please vote Brainliest!

Step-by-step explanation:

Answer:

The answer is -45

Step-by-step explanation:

Mrs. Bowman spent $110 to rent a popcom machine for the school
carnival and $75 to buy popcorn, oil, and other supplies. If she sold
263 bags of popcorn for $1.50 each, how much money did she make after paying for the machine and the supplies?

Answers

Answer:

200 minutes I am getting poi tea yayyyy

Answer:

$209.50

Step-by-step explanation:

First, find how much she made selling the popcorn:

263(1.5)

= 394.50

Then, find how much she spent on supplies and the machine:

110 + 75

= 185

Subtract the expenses from the profit:

394.50 - 185

= $209.50

PLEASE HELP!!! TRIG, Theres a picture!!

Answers

Answer:

The answer is option C

Step-by-step explanation:

[tex]3( { \tan }^{2} \theta - { \sec }^{2} \theta)[/tex]

Using trigonometric identities

That's

[tex]1 + { \tan }^{2} \theta = { \sec }^{2} \theta[/tex]

Rewrite the expression

That's

[tex]3({ \tan }^{2} \theta - (1 + { \tan }^{2} \theta)) \\ [/tex]

Simplify

We have

[tex]3({ \tan }^{2} \theta - 1 - { \tan }^{2} \theta) \\ 3({ \tan }^{2} \theta - { \tan }^{2} \theta - 1)[/tex]

So we have

3( - 1)

We have the final answer as

- 3

Hope this helps you

what are the solutions to the quadratic equation?2x^2+7x+6=0​

Answers

Answer:

x=-3/2,-2

using the quadratic formula 2x² is your a 7x b and 6 your c you want to substitute those numbers into the equation and then solve to find the solutions

(look at the images) can i get help on these?

Answers

Answer:

see explanation

Step-by-step explanation:

15

JK + KL = JL , substitute values

2x + 1 + 6x = 81, that is

8x + 1 = 81 ( subtract 1 from both sides )

8x = 80 ( divide both sides by 8 )

x = 10

Thus JK = 2x + 2 = 2(10) + 1 = 20 + 1 = 21

KL = 6x = 6 × 10 = 60

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

16

JK + KL = JL , substitute values

2x + x + 2 = 5x - 10 , that is

3x + 2 = 5x - 10 ( subtract 3x from both sides )

2 = 2x - 10 ( add 10 to both sides )

12 = 2x ( divide both sides by 2 )

6 = x

Thus

JK = 2X = 2 × 6 = 12

KL = x + 2 = 6 + 2 = 8

JL = 5x - 10 = 5(6) - 10 = 30 - 10 = 20

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

17

Calculate the distance d using the distance formula

d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = S(7, 3) and (x₂, y₂ ) = T(1, - 5)

d = [tex]\sqrt{(1-7)^2+(-5-3)^2}[/tex]

   = [tex]\sqrt{(-6)^2+(-8)^2}[/tex]

   = [tex]\sqrt{36+64}[/tex]

   = [tex]\sqrt{100}[/tex] = 10

In the figure, a pair of parallel lines is cut by a transversal. What is the measure of angle C if the measure of angle B is 35°? A.  35° B.  90° C.  145° D.  180° ​

Answers

Answer:

Could you please add a diagram? Or at least say how C is related to B?

Like is C an alternate angle to B or anything?

Step-by-step explanation:

A diagram would really help.

Answer:

145

Step-by-step explanation:

180-35=145

i need answers because it's very hard i need to pass.

Answers

Answer:

whats the question

Step-by-step explanation:

If a circle has a radius of 4 cm, what is the circumference? Enter a numerical value only.

Answers

25.12 sorry if it’s wrong

Answer:

c≈25.13

Step-by-step explanation:

Other Questions
Which sentence from Barrio Boy supports the claim that the narrative is told from a childs point of view? Please help fast Give two examples that show how the Virginia Declaration of Rights is a statement of American ideals andvalues. write a essay on natural resourcespls help me why do the kites and eagles fly without flapping their wings? What vocational area is the FFA built around? List or identify National officers from california and their year of service. In real-world environments, risks and their direct consequences will most likely span across several domains. However, you selected only the domain that would be most affected. What was the primary domain impacted by the risk, threat, and vulnerability? Los campesinos viven en el rascacielos b. el edificio c. la casa privada d. el campo Primo Industries collected $105,000 from customers in 2022. Of the amount collected, $25,000 was for services performed in 2021. In addition, Primo performed services worth $40,000 in 2022, which will not be collected until 2023. Primo Industries also paid $72,000 for expenses in 2022. Of the amount paid, $30,000 was for expenses incurred on account in 2021. In addition, Primo incurred $42,000 of expenses in 2022, which will not be paid until 2023.Required:a. Compute 2022 cash-basis net income.b. Compute 2022 accrual-basis net income. Which of the following medications would most likely be used in the pre-hospital setting to treat some women with severe pre-menstrual syndrome?A) Haldol and Tylenol.B) Glucose and fentanyl.C) Valium and ibuprofen.D) Insulin and acetaminophen. There are three stable isotopes of magnesium. Their masses are 23.9850, 24.9858, and 25.9826 u. If the average atomic mass of magnesium is 24.3050 u and the natural abundance of the lightest isotope is 78.99%, what are the natural abundances of the other two isotopes? Analyze the map below and answer the question that follows. A satellite map of the Middle East. The west coast of the Arabian peninsula and western Iraq is circled. Image courtesy of NASA Which major economic activity in the Middle East occurs largely in the area circled on the map above? A. diamond mining B. farming C. nomadic herding D. oil production Please select the best answer from the choices provided A B C D Analyze the map below and answer the question that follows. A satellite map of the Middle East. The west coast of the Arabian peninsula and western Iraq is circled. Image courtesy of NASA Which major economic activity in the Middle East occurs largely in the area circled on the map above? A. diamond mining B. farming C. nomadic herding D. oil production Please select the best answer from the choices provided A B C D 25 points! what are 15 ways that computers and cell phones have changed peoples lives in the last decade? Give a specific example of a perceptual region and explain how its characteristics distinguish it from other perceptual regions. imagine you are given an opportunity to time travel. you meet the greatest scientific genius and world citizen albert einstein . prepare an interview you had with this great personality . Who denied the colonists basic rights according to the declaration Who created illuminated manuscripts? Which planet is an inner planet, and which one is an outer planet? Explain your answer. Most people recognize Campbell's as a brand of soup, but Campbell's also manufactures Pace Picante Sauce, Pepperidge Farms products, Prego Sauce, Swanson Broth, and V8 juice. Campbell's International division offers more than 20 brands of soups, sauces, beverages, and baked snacks in the Asia Pacific region, Greater Europe and Latin America. Products such as Arnott's biscuits and crackers and Bi Band soups are well known overseas. Campbell's products are sold in more than 120 countries.Refer to Campbell's. Of the following what is probably Campbell's biggest labeling concern in its international markets?1. translating ingredient, 2. promotional, 3. instructional Marjory read, in the newspaper, about an old church that was going to be demolished. She created a petition to collect hundreds of signatures to save the church. What kind of activism is Marjory displaying?i need the answer ASAP, im giving out brainliest! how does a compass and straightedge help you make a triangle