Multiply and Simplify 3i(4-3i)-i(2+1)

Answers

Answer 1

Answer:

17+6i

-----------

25

Step-by-step explanation:

2+3i

---------

4+3i

We want to multiply by the complex conjugate of the denominator

4+3i has a complex conjugate of 4-3i

2+3i             4-3i

--------- * --------------

4+3i           4-3i

Lets multiply the numerator

(2+3i) ( 4-3i)

2*4 +4*3i -3i*2 - 3i*3i =

8 +12i -6i - 9i^2

Remember i^2 = -1

8 +6i -9(-1)

17 +6i

Lets multiply the denominator

(4+3i) ( 4-3i)

4*4 +4*3i -3i*4 - 3i*3i =

16 +12i -12i - 9i^2

Remember i^2 = -1

16 -9(-1)

25

Putting numerator over denominator

17+6i

-----------

25

Answer 2

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.

i is called the imaginary number.

i = √-1

The final expression of 3i (4 - 3i) - i(2 + 1) after simplification is 9i + 9.

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,

3i (4 - 3i) - i(2 + 1)

i is called the imaginary number.

i = √-1

Remove the parenthesis.

3i x 4 - 3i x 3i - i x 2 - i x 1

12i - 9i² - 2i - i

[ i² = -1 ]

12i + 9 - 2i - i

Add like terms

12i + 9 - 3i

9i + 9

Thus,

The final expression of 3i (4 - 3i) - i(2 + 1) after simplification is 9i + 9.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ2


Related Questions

Wjejjejjsnsbbnxkskakksnsnsnznsmsnndndd

Answers

Answer:

whats

Step-by-step explanation:

[tex]\orange{\rule{40pt}{555555pt}} \green{\rule{40pt}{555555pt}} \blue{\rule{40pt}{555555pt}} \red{\rule{40pt}{555555pt}}\pink{\rule{40pt}{555555pt}}\yellow{\rule{40pt}{555555pt}}[/tex]

PLS HELP THE QUESTION IS IN THE PIC!!!!
I AM GIVING BRAINLIEST!!!!!!

Select the correct answer.
Which number best represents the slope of the graphed line?

A. -5
B.-1/5
C. 1/5
D. 5

Answers

Answer:

There is no picture you need to post the picture first

I WILL GIVE 30 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOO SCAMS HFGK - ZMWR. Complete the statement below.

Answers

Answer:

angle f ≈ angle m

Answer:

∠F=∠M

Step-by-step explanation:

They are corresponding angles.

Hope this helps!

36 pictures for $ or 24 pictures for $5​

Answers

Answer:

I think it is 24 cus it's more bigger and cooler and hotter and shorter and butter

Answer:

$7.5

Step-by-step explanation:

24 pictures for $5

Multiply this by 2

48 pictures for $10

Then think about the number between 5 and 10

36 pictures for $7.5

1
A line passes through the point (10, 4) and has a slope of
1/2
Write an equation in slope-intercept form for this line.




Answers

Answer:

[tex]y=\frac{1}{2}x-1[/tex]

Step-by-step explanation:

To find the equation of the line you will use the slope-intercept formula [tex]y=mx+b[/tex]

[tex]slope=m=\frac{rise}{run}[/tex]

i need help with any of these questionss

Answers

Answer:

sorry hindi ko alam hirapuwu

Lo siento no hablo inglés pero creo que te puedo ayudar solomante pones shrek Audis nana

1.
What is the sum of
4 |
22 (1 point)
+
+
3
011
o

IN IN NII am |
0
0 0

Answers

Answer:

B. One whole number one over two. 1½

Help asapppppppppp!!!!

Answers

Answer:

The answer is C

Step-by-step explanation:

25^2 = 625

20^2 = 400

625+400 = 1025

sqrt(1025) is the answer

a car travels 80 km in 2 1/2 hours.Find the distance travelled in 6 hours?

Answers

Answer:

192 km

Step-by-step explanation:

80 km in 6 hours

N km in 2.5 hours

6/2.5 = 2.4

80 x 2.4 = 192

192 km

A secondary School boy pay #90.00 a term as fees. What amount will 14 student pay.

Answers

1,260 is the correct answer

please help me with my math homework

Answers

I hope it helps :DD You can leave a comment if you do not understand :)

Answer:

108/43

Step-by-step explanation:

[tex](6\frac{2}{3}-\frac{2}{3}) : (\frac{8}{9}+1\frac{1}{2}) =[/tex]

[tex]= 6 : (\frac{16}{18}+\frac{3}{2}) =[/tex]

[tex]= 6 : (\frac{16}{18}+\frac{27}{18}) =[/tex]

[tex]= 6 : (\frac{43}{18}) =[/tex]

[tex]= 6 * \frac{18}{43} =[/tex]

[tex]= \frac{108}{43}[/tex]

Wendy was riding her bike along a trail and travelled 63 miles in 6 hours. When Iman was riding on the same trail she travelled 10.1 miles per hour. What was Wendy's unit rate for her bike ride? (Miles per Hour) Who was riding faster?

Answers

Wendy was going faster at 10.5 mph.

To find mph, you divide the distance by the time. 63 divided by 6 is 10.5, which is faster than 10.1

do you think i can pass 7th grade with at least a B i have to make them 80%.

Answers

Answer:

yes

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

I passed 7th grade with a B

Help me answer! Question: Lola has 4 1/2 cups of rice. She uses 3/4 of the rice to make sushi rolls for dinner. She uses the rest of the rice to make rice pudding for dessert. How much rice does Lola use for the rice pudding?

Answers

Answer:

3 3/4

Step-by-step explanation:

Answer:

2 2/3

Step-by-step explanation:

[tex]4 \times \frac{1}{2} \div \frac{3}{4 [/tex]

there is a bag filled with 6 blue and 5 red marbles.
a marble is taken at random from the bag the colour is noted and then it is replaced. another marble is taken at random. what is the probability of getting 2 reds​

Answers

Answer:

Step-by-step explanation:

The probability of obtaining a red marble in one sample is 5/11. Since you are sampling twice the probability of picking a red marble both times is 5/11 x 5/11 = 25/121. That is slightly less than one time in five.

HELP ME OUT PLEASE I RLLY NEED IT ASAP. ):

Answers

(a) Slope is rise over run, or change in y over change in x.

1 -> 3 ( [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}} = \frac{4 - -8}{-1 - -5} = \frac{4 + 8}{-1 +5}= \frac{12}{4} =\frac{12}{4}[/tex] )

2 -> 3 ( [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}} = \frac{1 - 7}{0 - 2} = \frac{-6}{- 2} =\frac{6}{2}[/tex] )

3 -> -1/3 ( [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}} = \frac{-7 - -3}{6 - -6}= \frac{-7+3}{6+6}=\frac{-4}{12}=-\frac{1}{3}[/tex] )

(b) If a line is parallel, the slopes will be the same. If they are perpendicular, the slopes will be are negative reciprocals of one another. If they are neither, then their slopes don't match up in any way.

1 & 2 -> Parallel

1 & 3 -> Perpendicular

2 & 3 -> Perpendicular

     Note - Since 1 & 2 are parallel, then both 1 and 2 will be perpendicular to 3!

Have a nice day!

     If this is not what you are looking for - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Answer:

Line 1: slope: 1

Line 2: slope: -3/2

Line 1 and line 2: neither

Line 3 slope: - 1/3

Line 1 and 3: neither

Line 2 and 3: neither

Step-by-step explanation:

Line 1: (-5,-8) and (-1,4)

Slope: (4 - - 8)/(-1 - - 5) = 12/4 = 3

Line 2: (2,7) and (0,10)

Slope: (10 -7)/(0 - 2) = 3/-2 = -3/2

Line 3. ((-6,-3) and (6,-7)

Slope: (-7 - - 3)/(6 - -6)= -4/12= -1/3

HELP ME PLEASE!!!!!!!!​

Answers

Answer: C

Step-by-step explanation: the key is to look at the relationships between the numbers. The y value increments by 5.5 or 5 respectively, which LOOKS like additive. However, it is actually multiplicitve, since the question is the relation between X and y, not the y values. From there you can simply test that 5x1=5, 5x2=10, etc, etc.

Slope of -7 includes point (3,p) and (2,2). What is the value of p?

Answers

Answer:

p = - 5

Step-by-step explanation:

( [tex]x_{1}[/tex] , [tex]y_{1}[/tex] )

( [tex]x_{2}[/tex] , [tex]y_{2}[/tex] )

m = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]

~~~~~~~~~~~~~

( 3 , p )

( 2 , 2 )

m = - 7

[tex]\frac{2-p}{2-3}[/tex] = - 7

2 - p = - 7 ( - 1 )

2 - p = 7

p = - 5

The 5th term of an arithmetic sequence is 30, while the 13th term is 70

Answers

Answer:

a = 10

d = 5

Step-by-step explanation:

[tex]a_{n}=a + (n-1)d\\\\a_{5}=30\\\\a + (5-1)*d=30\\\\[/tex]

a + 4d = 30 ------------------(I)

[tex]a_{13}=70\\\\a + (13-1)d=70[/tex]

a + 12d =70 -------------(II)

Multiply equation (II) by (-1) and then add.So, 'a' will be eliminated and you can find the value of d

(I)         a +   4d = 30

(II)*(-1)   -a - 12d = -70   {Now add}

               - 8d   =  - 40

Divide both sides by (-8)

d = -40/-8

d = 5

Plugin d = 5 in equation (I)

a + 4*5 = 30

a + 20 = 30

a = 30 - 20

a = 10

Please help me will give brainless if correct it tells me. !!!!!

Answers

Answer:perpendicular bisector of the line segment joining the points A(5,2) and B(4,2).

Step-by-step explanation:

Please help, you get 30 points if you answer, and also a cookie

Answers

With the help of a helpful website...

a = √(c² - b²)

a = √(3² - 2²)

a = √(9 - 4)

a = √(5)

x = √(c² - b²)

x = √((√(5))² - 2²)

x = √(5-4)

x = √(1)

x = 1! YOU WERE RIGHT!

Will give brainliest need help asap

Answers

Answer:

i) good luck

Step-by-step explanation:

Jared wrote an equation for the perimeter of an equilateral triangle as 3x = 20. What does x represent in his equation? perimeter of the triangle area of the triangle side length of the triangle height of the triangle.

Answers

Answer:

side length of the triangle

Step-by-step explanation:

The perimeter of a triangle is the sum of the sides

For an equaliateral triangle all sides are the same length

if x = length

perimeter = x + x + x = 3x

Answer:

side length of the triangle

Step-by-step explanation:

The perimeter of a triangle is the sum of the sides

For an equaliateral triangle all sides are the same length

if x = length

perimeter = x + x + x = 3x

Please solve these.
You will get all of my points if you get all of them correct

Answers

Answer:

Step-by-step explanation:

1) Area of triangle= 1/2 x b x h

b = 7.6cm h= 3.4cm

Area= 1/2 x 7.6 x3.4 = 12.92cm²

2)Divide the shape into a triangle and a rectangle

Area of rectangle : l x b

L= 20cm, b= 7cm

= 20 x 7 = 140 cm²

Area of triangle =1/2 x b xh

B = 20cm, h= 16 - 7 = 9cm

1/2 x 20x 9= 90cm²

Total area = 140 + 90 = 230cm²

3) area of triangle = 1/2 x b x h

B = 12cm, h= 5cm

= 1/2 x 12 x 5 = 30cm²

4) area of triangle = 1/2 x b x h

B = 15cm, h= 8cm

= 1/2 x 15 x 8 = 60cm²

5) divide the shape into two rectangles; the lower and the upper

Area of rectangle= l x b

Upper rectangle, l= 10cm, b= 27 - 9 = 18cm

Area= 10 x 18= 180cm²

Lower rectangle, l= 24cm, b= 9cm

Area = 24 x 9= 216cm²

180 + 216 = 396cm²

Reasoning This week, 963 people went to the beach. Last week, 1.197 people went to the beach. The number of people who went to the beach fell by what percent? Use pencil and paper Explain how you know

whether the answer is greater than or less than 25%

The number of people that went to the beach fell by about %

(Round to the nearest tenth of a percent as needed)

Answers

Answer: Less than 25%

Step-by-step explanation:

1. Find the difference of the two numbers: 1,207 - 957 = 250

decrease = original number - new number

2. Then, divide the decrease by the original number

250/1,207 = 0.207

3. Multiply the answer by 100 to get the percentage

0.207 x 100 = 20.7%

Therefore, the number of people fell by 20.7%

Hence, the answer is less than 25%

recipe☝️
Question: How many cups of sifted cake flour will you need for 2 cakes? Show your work.​

Answers

Answer:

5 cups of flour need to make two cakes

What is the complete factorization of the polynomial below?
x - x2 + x - 2

Answers

x^3 + 2x^2 + x + 2 = (x^2 + 1) (x + 2).

Find the answer for X

Answers

Answer:

17

Step-by-step explanation:

[tex]60+2x=94 \\ \\ 2x=34 \\ \\ x=17[/tex]

PLZ HELP 500 POINTS AND BRAINIEST
PLZ SHOW WORK

Miguel's mother builds and sells houses. She wants to buy a piece of land on which to build several houses. There are two lots for sale. One is a rectangular plot that is 3/8 of a mile by 2/3 of a mile. The other square plot that is 2/5 of a mile.


Part A
Which lot should Miguel's mother buy if she wants the biggest lot?

Part B
If the land in the area sells for 750,000 a square mile, how much should she expect to pay?

Answers

Answer:

Square lot and 187500

Step-by-step explanation:

To find question number A, we can calculate the area of each lot. The square plot is:

2/5×2/5=4/25

The first one is

2/3×3/8=1/4

Then we can make both have the same denominator:

1/4=25/100, 4/25=16/100

That means that the square lot is bigger.

We know that the area is 1/4 square mile. So it's 1/4 of 750,000

That's

1/4×750000=187500

Hope that helps! :)

⟟ need help with this please someone and please don’t do links

Answers

B B B B B B B B B B B
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