PLEASE HELP!!

adding and subtracting complex numbers

1-) (12-3i)+(7+3i)

2-). (12+4i)-(3-7i)

Answers

Answer 1

Step-by-step explanation:

1) 19+i

2) 9-3i

hope this helps bro

Answer 2

Answer:

1. 19

2. 9 + 11i

Step-by-step explanation:

first problem:

first, we rewrite it and remove the parentheses.

12 - 3i + 7 + 3i

then, just remove the opposites and calculate.

19

second problem:

again, we rewrite and remove the parentheses.

12 + 4i - 3 + 7i

then, we calculate and collect like terms.

9 + 11i


Related Questions


PLEASE HELP ASAP!!!

Which of the following statements have the same result? Explain each step in solving each one.
1. f(2) when f(x) = 4x + 2
II. (2) when f(x) = 2x-4/5
III. 2y + 11 = 3y + 1
10 points)

Answers

Answer:

1.)10  2.)0  3.)10

Step-by-step explanation:

1.) 4 (2) = 8 + 2 = 10

2.) 2(2) - 4/5 = 0

3.)2y + 11/-11 = +3y/-3y +1

2y - 3y = 1 - 11

-1y/-1 = -10/-1 = 10

Solve the quadratic equation using any appropriate method.
- 2x2 + 7x - 7 = 0

Answers

X=11/7 i think that would be the answer

Help pls :))))))))))))))

Answers

Answer:left is 7 right is 6

Step-by-step explanation:

left is 7 right is 6

Answer:

the right side is 6 and the left side is 7

Step-by-step explanation:

These triangles are similar. Since the bottom side goes from 15 to 5, that means you divide the other 2 sides by 3 also.

What is the quotient of 8/9 ÷ 16/9

Answers

Answer:

1/2 or 0.5

Step-by-step explanation:

A number line going from negative 2 to positive 2 in increments of 1. There are 2 equal spaces between each number. The line contains negative 2 labeled A, B, negative 1, C, 0, D, 1, E, 2 labeled F. Identify the location of each point on the number line. 0.5 is point . Negative one-half is point . –1.4 is point . 2 is point .

Answers

Answer:

ITS A B F ON EDGE GUYS THE PEOPLE IN COMMENTS RIGHT!!!!!1

Answer:

0.5 is point D

-1/2 is point C

-1.4 is point B

2 is point F

Step-by-step explanation:

Pls give brainliest!

The IQ scores of the middle 50% of a population can be written as

I

100

15

where x is a person's IQ. Solve the inequality to find the IQ scores for the middle 50% of the population.

x 270 and x s 130

Ox570 and x 2 130

Oxs 90 and x 2 110

x 290 and x s 110

Answers

Complete question :

The IQ scores of the middle 50% of a population can be written as (x - 100) / 15 ≤ 2/3

Answer: 90 ≤ x ≤ 110

Oxs 90 and x 2 110

Step-by-step explanation:

Given the inequality:

The middle 50% of the population :

(x - 100) / 15 ≤ 2/3

The upper bound :

(x - 100) / 15 ≤ 2/3

multiply both sides by 15

(x - 100) / 15 * 15 ≤ 2/3 * 15

(x - 100) ≤ 2/3 * 15

x - 100 ≤ 10

x ≤ 10 + 100

x ≤ 110

The lower bound :

- (x - 100) / 15 ≤ 2/3

(-x + 100) / 15 ≤ 2/3

multiply both sides by 15

(-x + 100) / 15 * 15 ≤ 2/3 * 15

(-x + 100) ≤ 2/3 * 15

-x + 100 ≤ 10

-x ≤ 10 - 100

-x ≤ - 90

x ≤ 90

90 ≤ x ≤ 110

1) You are taking a Tae Kwon Do class that costs $15 a month. In addition, you needed to
purchase a uniform. You paid a total of $108 after 6 months. Write an equation that glves
the total cost (in dollars) as a function of the length of time you have been taking classes
(in months). Find the total cost after 9 months.

Answers

Answer:

$162

Step-by-step explanation:

you divide 6 months by 2 then you divide 108 by 2 then you add the half of 108 and plus it to 108 then you get your total.

The function of the length of time you have been taking classes is f(x) = 15x and cost for 9 months is $135

What is unit rate?

A unit rate means a rate for one of something.

Given that, You are taking a TAE Kwan Do class that costs $15 a month. In addition, you needed to purchase a uniform. You paid a total of $108 after 6 months.

We have unit rate = $15 per month

Since, one month cost is $15 therefore, for 6 months = 15×6 = $90

Therefore, cost of uniform = $108 - $90 = $18

Let you are taking classes for x months, the function of the length of time you have been taking classes,

f(x) = 15x

For 9 month cost =

f(9) = 15×9 = 135

Hence, the function of the length of time you have been taking classes is f(x) = 15x and cost for 9 months is $135

Learn more about unit rates, click;

https://brainly.com/question/29781084

#SPJ2

Write the equation of a line in point-slope form that is parallel to the line y=2x-5 and goes through the point (-1,4)

Answers

(y-4) = 2(X+1)

Step-by-step explanation:

Hey there!

The given eqaution is; y = 2x-5.......(i)

Now; As the eqaution is in the form of y= mx+b.

Slope(m1) = 2.

As per the condition of parallel lines, slope of the 1st equation (m1) = slope of 2nd eqaution (m2).

Therefore, m1= m2= 2

Now, use one point formula for finding the eqaution of the line which passes through the point.

(y-y1) = m2(x-x1)

~ Put all values.

(y-4) = 2(X+1)

You can simply write upto here. But it you want to make it simplified form then, (look below)

~ simplify it.

y = 2x +2+4

The eqaution of the line which is parallel to y = 2x -5 and point (-1,4) is y = 2x + 6.

Hope it helps.....

Answer: y - 4  = 2(x + 1)

Step-by-step explanation:

The point slope form formula says that   y - b = m(x-a)  where  m is the slope,b is the y coordinate of a given point , and a  is the x coordinate of the same point.

Remember that parallel lines have the same slopes but different y-intercepts, meaning that  m will equal to 2  because the slope for the line y=2x-5 is 2.

m will be 2, b will be 4 , and  a will be -1.

      y - 4 = 2(x - (-1)     which reduces to  

   y - 4  = 2(x + 1)

does anyone understand this

Answers

For this problem, 0.25 in = 50 m. So

11 in = (11 in) • (50/0.25 m/in) = 2200 m

Alternatively, if 0.25 in = 50 m, that means 1 in = 200 m. So 11 in = 11 (200 m) = 2200 m.

Assume you have a balance of $1,900 on a credit card.
If the credit card has an annual interest rate of 13.6% and only the minimum monthly
payment of $35 is made, how many months will it take to pay off the credit card?

Answers

principal=$1900

rate =13.6 %

simple interest= $35

Time=?

SIMPLE INTEREST ={PRINCIPAL×RATE×TIME}/{100}

$35= [tex]{$1900 ×13.6× TIME}{100} /[/tex]

$35×100=25840× TIME

TIME=[tex]\bold\frac{ 3500}{25840}[/tex]

TIME=[tex] 700/5168 [/tex]

TIME=[tex]{\tt{\green{\underline{\underline{\huge{0.1354489164}}}}}}[/tex] years

sorry I can't solve wrong answer

Annie spent $143.89 at Kohls and there is a 6.25% sales tax. What will she pay in sales tax and
what is the total purchase price?

Answers

Answer:

net amount 143 89 tax 6.25 % which is $8.99 gross amount is $152.88

Write the equation of the line that passes through the points (-7,1) and (7,-6).
Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal
line.

Answers

Answer:

y-1=-1/2(x+7)

Step-by-step explanation:

Find the slope first using the slope formula.

y2-y1/x2-x1

-6-1/7--7

-7/14

Slope is -1/2

Now choose one of the coordinates and put it in point-slope form.

y-1=-1/2(x+7)

The $99.99 digital camera Mia purchased was on sale for 15% off. What amount did Mia get off the price? please leave an explanation

Answers

Answer: Sale Price = $84.99 (answer). This means the cost of the item to you is $84.99. You will pay $84.99 for a item with original price of $99.99 when discounted 15%. In this example, if you buy an item at $99.99 with 15% discount, you will pay 99.99 - 14.9985 = 84.99 dollars.

Step-by-step explanation:

the angles of a triangle are in the ratio 2:3:4 find the size of each angle ​

Answers

Answer:

40:60:80

Step-by-step explanation:

2x+3x+4x=180 (sum of ang. In tri. Is 180)

X=20

2x is 40

3x is 60

4x is 80

40 plus 60 plus 80 is 180.

Randy Houck deposited his paycheck for $385.15, a refund check from a mail

order purchase for $125.95, and $37.20 in cash.

Answers

Answer:

The correct option is c. $548.30.

Step-by-step explanation:

Note: This question is not complete. The complete question is therefore provided before answering the question. Please, see the attached pdf file for the complete question.

Also Note: This template does not allow the explanation to be added and saved here as it keeps on indicating that it contains some swearwords. The explanation is now given in the attached pdf file. Please, see the attached pdf file for the answer and explanation.

Which quadratic equation has roots - 2 and 1/5 :

Answers

Answer:

[tex]5 {x}^{2} \: + \: 8x \: - 2 \: = \: 0[/tex]

Step-by-step explanation:

[tex]sum \: of roots = - 2 + \frac{1}{5} = - \frac{8}{5} \\ product \: of \: roots = - 2 \times \frac{1}{5} = - \frac{2}{5} \\ from \: general \: equation \\ a {x}^{2} + bx + c = 0 \\ {x}^{2} + \frac{8}{5} x \: - \frac{2}{5} = 0 \\ 5 {x}^{2} \: + \: 8x \: - 2 \: = \: 0[/tex]

Please help me out.
Can the lengths 40, 60, and 80 form a supplementary triangle?

Answers

Answer: Yes

Step-by-step explanation:

A supplementary triangle has sides adding up to 180°.

We have the side lengths 40, 60, and 80.

To find out if it is a supplementary triangle, we will add all the sides.

40 + 60 + 80 = 180

We get 180° as our answer when we add.

We got 180°, so the answer is yes, it can.

Best of Luck!

Answer:

yes.

Step-by-step explanation:

Any angle that adds up to 180 is a supplementary angles.

based on your examples 40, 60, 80, if you sum it up...

it equates to 180. so the answer is yes.

Type the missing number in this sequence:
58, 65, 72, ___, 86, 93

Answers

Answer:

79

Step-by-step explanation:

Answer:

79

Step-by-step explanation:

Each number has a 7 numerical difference

A paraboloid container is being filled with fluid at the rate of 4.5 cubic feet per minute. At what rate is the level of fluid changing when the depth
is 2.5 feet? The ratio of the radius to the height of the container is 3:7.
"V = 1/2 pir^2h

Answers

Answer:

2.62 ft./min

Step-by-step explanation:

Just took the test.

Through (2,-5); perpendicular to 3y=x-6

Answers

Answer:

y=-3x+1

Step-by-step explanation:

Have a good one.

Help if you know please

Answers

Answer:

D, F, C

I hope this helps you out! :D

Answer:

A and E

Step-by-step explanation:

I have attached the graph of the problem.

Write the equation of the line parallel to the line y= 5x + 3 that passes through the point (3,3)

Answers

Answer:

y=5x-12

Step-by-step explanation:

y=5x+3, and just replace the x and y to get the b. The slope is the same.

1) 3=5(3)+b

2)3=15+b

3)-12=b

4) y=5x-12

pls help i don’t know how to simplify lol

Answers

Answer:

the first one is 5/12 and the second one is 6/28. Hope this helps and have a nice day:)

Answer: 5/12, 3/14

Step-by-step explanation:

first problem:

first, we just reduce the numbers.

5/4 x 1/3

then, we simply multiply.

5/12

second problem:

again, we just reduce the numbers.

3/2 x 1/7

and then multiply.

3/14

Assuming each area code is just as likely as any other, what's the probability that the area code of two back to back spam calls are 804

Answers

Complete Question:

Yanay gets a lot of spam calls. An area code is defined to be a three digit number from 200-999 inclusive. In reality, many of these area codes are not in use, but for this question we'll simplify things and assume they all are.

Assuming each area code is just as likely as any other, what's the probability that the area code of two back to back spam calls are 804?

Answer:

1/6400 or 0.0000015625

Step-by-step explanation:

Given

Area Codes = 200 to 999 (inclusive)

Required

Determine the probability that back to back calls have area code 804

[First, we need to calculate the totality of area codes]

Total Area Codes = 999 - 200 + 1

Total Area Codes = 800

The probability of each code is 1/800

So, the probability of having back to back code of 804 is:

Probability = 1/800 * 1/800

Probability = (1/800)²

Probability = 1/640000

Hence, the required probability is 1/640000 or 0.0000015625

Did you hear the story about the piece of butter?

Answers

Answer:

I believe once it saw the cast iron skillet's beauty, it melted.

Step-by-step explanation:

No clue just that was the first thing in me mind.

solve for x and y!! will give brainliest !

Answers

Answer:

x = 60 and y=25

Step-by-step explanation:

it is equilateral triangle and  an equilateral triangle is a triangle in which all three sides have the same length. In the familiar  geometry, an equilateral triangle is also equiangular; that is, all three internal angles are also congruent to each other and are each 60°.

68=u-11
i need help lol pls

Answers

Answer:

u=79

Step-by-step explanation:

68=u-11

add 11 to 68

u=79

i think the answer might be 79

COLOR THEME
O Q ZOOM
5. Mrs. All collected notebook paper from her students at the beginning of the
school year. The model is shaded to show the fraction of notebook paper
that Mrs. Ali used in each of the following three months.
First month
Second month
Third month
What fraction of the notebook paper Mrs. All collected was used during
these three months?

Answers

Answer:

6

Step-by-step explanation:

Factor completely
w^2 + 12w -f^2+ 36

Answers

Factored:
(w+6-f)x (w+6+f)

expression with parentheses..example and non-example​

Answers

Answer:

With parentheses:

(3 - 4)(4 + 5)/3

Without parentheses:

7 + 6 - 11 × 2

Hope this helps! :)

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