Which expression is equivalent to (6-2i)(2-3i)?

Answers

Answer 1

Answer:

Step-by-step explanation:

(6-2i)(2-3i)=

we will use foil to multiply

-12-18i-4i+6(i^2)=

now remeber that (i^2)=-1

=12-22i-6=6-22i

Answer 2

Explanation: To multiply two complex numbers, use the F.O.I.L method.

So we have (6 - 2i)(2 - 3i).

So we have 12 - 18i - 4i + 6i².

Combining like terms, we have 12 - 22i + 6i².

Now, remember that i² is equal to -1 so we have

12 - 22i + 6(-1) or 12 - 22i - 6 or 6 - 22i.

So our answer is 6 - 22i.


Related Questions

Write fraction or mixed number as decimal 27/75

Answers

9/3. 5/14 hope that's the right awnser

0.36.  i just had this question and got it right. :)

Which of the following statements is true?

Answers

Answer: The y-intercept is 5

Step-by-step explanation:

6 pounds of bananas are 5.94 what would be the cost for 10 pounds?

Answers

That answer is 8.34 for 10 pounds that your answer

Answer:

Step-by-step explanation:

if 6lbs costs 5.94

5.94/6=0.99

10lbs

0.99*10=9.90 dollars

Can I get some help plz

Answers

Yo Use Browesr My Frieand Thats Alot To Be Honest And

Simplify: 5!

A. 5

B. 20

C. 120

D. 240 ​

Answers

Answer:

it would be 5

Step-by-step explanation:

I don't have an explanation I just know it is 5

I think this is the last question ​

Answers

Answer:

○ [tex]\displaystyle One\:relative\:maximum\:(-1, 8)\:and\:one\:relative\:minimum\:(2, -4)[/tex]

Step-by-step explanation:

The minimum is the lowest possible point a certain graph touches, while the maximum is the highest possible point a certain graph touches.

I am joyous to assist you at any time.

aight plz help anyone lol

Answers

Answer:

=140/7-13/7

hope it helps.

I NEED HELP!! Please

Answers

Answer:

Step-by-step explanation:

P represents the original price of the sandwich

1.5 represents the discount

I want to double-check my answer. I think it may be wrong. I need this ASAP. Have a great day.

Answers

This is not the correct answer.

1. 2.30 is not even close to the point given in the number line.

2. My guess for the correct answer would be 0.23 because in between 0.2 and 0.3 is 0.25, so the best answer would be 0.23.

PLS HELP THANKS!


Which ordered pair is a solution to the system of equations

Answers

Answer:

its the bottom one my dude

Answer:

x= ( -1/2,4) which is D

Step-by-step explanation:

Simple math...

PLEASE HURRY I'LL MARK BRAINLIST!!!!!!!!!!!!!!!!!!!!!!!!!!!!1 Bo, Mike, and Cat are playing a game involving decimals in math class. So far, they have scored 100.2 points combined. Bo scored 38.65 points and Mike scored 29 points. How many points did Cat score?

A fraction bar labeled C divided into 3 parts: Bo, B, and Cat. Bo has A points. B has 29 points. Cat has question mark point.
How many points did Bo score, as represented by A?



Who scored 29 points, as represented by B?



How many points did the 3 players score all together, as represented by C?



What will the answer to the question be?

Answers

Answer:

67.65

Step-by-step explanation:

Answer

cat scored: 38.65+29=67.65

100.2-67.65=32.55#

bo 29 marks  

Step-by-step explanation:

Use slopes to determine if the lines y=−4 and x=−1 are perpendicular.

Answers

Answer:

they are perpindicular because they intersect at a right angle

Step-by-step explanation:

Answer:

The lines y=−4 and x=−1 are perpendicular.

Step-by-step explanation:

Given the lines

y=−4

x=−1

The equation y = -4 indicates that the line is horizontal because the value of y remains constant no matter what the value of x is. We also know that the slope of a horizontal line is zero.

In other words, there is no change in y-value i.e. (y₂-y₁) = 0.

Thus, the slope of the horizontal line y = -4 is zero.

Therefore, the slope of y = -4 is: m₁ = 0

The equation x = -1 indicates that the line is vertical because the value of x remains constant no matter what the value of y is. We also know that the slope of a vertical line is undefined or ∞.

In other words, there is no change in x-value i.e. (x₂-x₁) = 0.

Thus, the slope of the vertical line x = -1 is zero.

Therefore, the slope of x = -1 is: m₂ = ∞.

We know that a line perpendicular to another line contains a slope that is the negative reciprocal of the slope of the other line.

As the slope of line y = -4 is: m₁ = 0

Thus, the slope of the the new perpendicular line = m₂ = – 1/m = -1/0 = ∞

Therefore, the lines y=−4 and x=−1 are perpendicular.

ALSO:

From the attached graph, it is clear that:

The red line is representing y = -4The blue line is representing x = -1

It is clear that both lines are perpendicular as they are meeting at a right angle.

Therefore, the lines y=−4 and x=−1 are perpendicular.


13. Becky is playing with marbles. Of the marbles 2/3
of them are green. Among the green marbles, 1/4
of them also have polka-dots. What fraction of
Becky's marbles are green and have polka-dots?

Answers

Answer:

2/3 x 1/2 = 1/6

Step-by-step explanation:

What is the square root of ten

Answers

Answer:

The square root of 10 is 3.16

Step-by-step explanation:

I hope that this helps you out..

solve for (0)
12
15
Round to the nearest hundredth

Answers

Answer:

.014

Just trust me, you know I have your back

24 apples and 36 oranges in a basket. What percentage of the fruit is oranges

Answers

Answer:

24 %

Step-by-step explanation:

thats easy

can someone help me?

Answers

Step-by-step explanation:

the answer would be

4

2

1

3

5

3 .912+s=5.313 evaluate

Answers

Answer:

s= 1.401

Step-by-step explanation:

subtract 5.313 from 3.912 :D

The evaluation of the equation 3 .912+s=5.313 yields; s = 1.401

Evaluation of one variable equation

According to the questions;

We are required to evaluate the equation; 3 .912+s=5.313

Hence, we must subtract 3.912 from both sides of the equation as follows;

3 .912+s -3.912 = 5.313 - 3.912.

s = 1.401

Read more on one variable equation;

https://brainly.com/question/21528555

What's 54 plus eight.

Answers

Answer:

62

Step-by-step explanation:

u serious?

Answer:

62

Step-by-step explanation:

change the plus eight to number

54+8=62


Describe how you can tell whether a lines slope is greater than 1,equal to 1, or less than 1

Answers

Answer:

Rise over Run

Step-by-step explanation:

You need to find the rise over run. Find a point where the line crosses a set of points on the graph. Then find another point on the graph where the line crosses. start at the bottom point and count up till you get even to where the point is. then count over till you get to the point. That is your rise over run. Now simplify the rise over run. You should get a number and that is how you can tell if if a lines slope is equal to 1, greater than 1, or less than 1.

Hope this Helps!

Cuanto es 3entre 2.009

Answers

Answer:

~1.5

Step-by-step explanation:

3/2.009 = 1.493280238924838 = ~1.5

Help Please ASAP!!!!!!!!!

Answers

❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤

[tex] - \frac{2}{5} - ( - \frac{9}{15} ) = \\ [/tex]

[tex] - \frac{2 \times 3}{5 \times 3} + \frac{9}{15} = \\ [/tex]

[tex] \frac{ - 6}{15} + \frac{9}{15} = \frac{9 - 6}{15} = \\ [/tex]

[tex] \frac{3}{15} \\ [/tex]

❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤

what is the point of this

Answers

Answer:

B and I are both coplanar

Step-by-step explanation:

During a sale, a store offered a 40% discount on a tablet that originally sold for $760.
After the sale, the discounted price of the tablet was marked up by 40%.
To the nearest cent, what is the difference between the original price $760 and the price after the markup?

Answers

Answer:

304

Step-by-step explanation: x/760 40/100=

760x40=30,400

30,400 divided by 100=304

What is the pattern for 784.5, 78.45, 7.845 what comes next

Answers

Answer:

.7845

Step-by-step explanation:

Reduce the fractions using the greatest common factor 7 over 12

Answers

Answer:

7/12 cannot be reduced

Step-by-step explanation:

7 = 7

12 = 2 * 2 * 3

7 and 12 have no common factors other than 1, so the fraction 7/12 cannot be reduced. 7/12 is already written in lowest terms.

On any given day, the proportion of workers at a factory who are more than 5 minutes late to work is 0.11. A random sample of 20 workers will be selected. Which of the following is the best interpretation of the mean of the sampling distribution of the sample proportion of workers in the sample who are more than 5 minutes late to work for samples of size 20 ?
A) For all samples of size 20, the mean of all possible sample proportions is equal to 0.11.
B) For a randomly selected worker, the probability the worker will be more than 5 minutes late to work is 0.11.
C) For a random sample of 20 workers, the proportion of workers who are more than 20 minutes late to work will be 0.11.
D) For a random sample of 20 workers, the probability that 2.2 workers will be more than 5 minutes late to work is very high.
E) For repeated samples of size 20, the proportion of workers who are more than 5 minutes late to work varies in each sample by no more than 0.11.

Answers

Answer:

A) For all samples of size 20, the mean of all possible sample proportions is equal to 0.11.

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

In this question, we have that:

The proportion workers at a factory who are more than 5 minutes late to work is 0.11. So, by the interpretation of the central limit theorem, the mean of all sample proportions, for samples of size 20, will be of 0.11.

The correct answer is given by option A.

The interpretation of the mean of the sampling distribution will be A. For all samples of size 20, the mean of all possible sample proportions is equal to 0.11.

The sampling distribution of the sample proportion is approximately normally distributed. It's simply the mean of the population from where the population is sampled.

From the information, the mean of the sampling distribution of the sample proportion of workers in the sample who are more than 5 minutes late to work for samples of size 20 will be that for samples of size 20, the mean of all possible sample proportions is equal to 0.11.

In conclusion, the best option is A.

Learn more about sampling distribution on:

https://brainly.com/question/17831271

SOMEONE PLEASE HELP ME THIS IS ALMOST DUE AND I NEED THE RIGHT ANSWER PLZ!!!

Answers

Answer:

39

Step-by-step explanation:

x+3x+24=180

4x=156

x=39=A

3x=117=B

Solve the following equation.
7(x - 2) = 3(x + 4)
X = ?

Answers

Answer:

x=6.5

Step-by-step explanation:

Don't worry I just know

Answer:

X = 13/2

Step-by-step explanation:

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

Distribute

7x - 14 = 3x + 12

-3x from both sides

4x -14 = 12

Add 14

4x = 26

Dive by 4

X = 13/2

If u simplify 26/4

I will give brainiest to whoever answers correctly !!

Answers

Replace x with 10.

The exponent is now 0.1(10) = 1

Now you have 5000(1.181)^1

1.181^1 = 1.181

So now 5000 x 1.181 = 5,905

The answer is 5,905

the above answer is correct for 10 years, 50 years would be 11487
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