Perform the indicated operations. Write the answer in standard form, a+bi.
5 - 3i / -2-9

Answers

Answer 1

[tex] \huge \boxed{\mathfrak{Answer} \downarrow}[/tex]

[tex] \large \bf\frac { 5 - 3 i } { - 2 - 9 } \\ [/tex]

Subtract 9 from -2 to get -11.

[tex] \large \bf \: Re(\frac{5-3i}{-11}) \\ [/tex]

Divide 5-3i by -11 to get [tex]\sf-\frac{5}{11}+\frac{3}{11}i \\ [/tex].

[tex] \large \bf \: Re(-\frac{5}{11}+\frac{3}{11}i) \\ [/tex]

The real part of [tex]\sf-\frac{5}{11}+\frac{3}{11}i \\ [/tex]is [tex]\sf-\frac{5}{11} \\ [/tex].

[tex] \large \boxed{\bf-\frac{5}{11} \approx -0.4545..} \\ [/tex]

Answer 2

Answer:

[tex] \frac{5 - 3i}{ - 2 - 9} \\ = \frac{ 5 - 3i}{ - 11} \\ = \frac{5}{ - 11} + \frac{3i}{11} \\ thank \: you[/tex]


Related Questions

Multiply (FOIL)

( x - 3)( 2x + 5)


(3x + 7)(2x - 1)

Answers

Answers: ( x - 3)( 2x + 5) equals 2x^2 − x − 15

(3x + 7)(2x - 1) equals 6x^2 + 11x − 7

Explanation: You expand the polynomial using the FOIL method.

PLEASE HELP PLEASE PLEASE PLEASE

Alvin's age is three times Elga's age. The sum of their ages is 112. What is Elga's age?

Answers

Answer:

Elga is 37 years old

Step-by-step explanation:

(A shame they are not the same age but that would be too easy...)

So... they both equal 112 and one of them (Alvin) is 3 times older

Basically just divide 112 and 3

Answer : 37 years old

Check Work

112 - 37 = 75

75 + 37 = 112

Hope this helps :)

Jacob conducted a music survey among his friends. He reported that 0.42 prefer pop, 22% prefer rock, and 2/5 prefer hip hop, Explain what's wrong with Jacob's results. ASAP PLS

Answers

Answer:

Step-by-step explanation:

Based on ur graph, in a class of 90 students (20 rock, 40 hip hop, and 30 country...added = 90) , 30 chose country....30/90 reduces to 1/3.....so 1/3 chose country.

In a class of 450 students......1/3 * 450 = 450/3 = 150 chose country

Answer:

The total percentages do not equal 100%, they equal 102%. If all friends answered, his total should equal 100%

Step-by-step explanation:

0.42 is 42%, 22% is 22%, and 2/5 is 0.4 which is 40%. Together that is 102%. If all friends answered, his total should equal 100%

What has a ring but no finger?

Answers

Answer:

ringtone

Step-by-step explanation:

phone ringtone

Complete to get an equal ratio
5a/8ab = ?/ 24a^2 b

Answers

9514 1404 393

Answer:

  ? = 15a^2

Step-by-step explanation:

We assume you want

  (5a)/(8ab) = (?)/(24a^2·b)

Multiplying by 24a^2·b, we get ...

  (5a)/(8ab)·(24a^2·b) = ? = 15a^2

Yasmeen Is a member of the I love movies club. She paid a one time fee for $40 to join now only pays one dollar per movie to rent. Michael did not join the club, so he paid $6 per movie to rent. How many movies will Yasmeen and Michael have to rent to pay the same amount? Let M represent the number of movies.

Answers

Answer:

M=8

Step-by-step explanation:

6x8=48

40+8x1=48

PLZZZZ help it will mean a lot :)

Answers

3x = 18

Divide both sides by 3 and simplify

x=6

Answer:

Step-by-step explanation:

assuming  that you need to find the value of x

3x = 18

-divide both sides by 3

3x/3 = 18/3

-use the facts that 3/3 =1 and 18/3 = 3*6/3 = 6

x = 6

5. Classify the number 15.
O Whole, integer, rational, real
Integer, rational, real
O Natural, whole, integer, rational, real
O rational, real

Answers

Answer:

O Natural, whole, integer, rational, real

Step-by-step explanation:

it can be expressed as a fraction of 45/3, which means that it is rational.

it is a whole number because it does not contain a fraction or decimal.

it is a real number because it is a number we normally use such as 1, -0.1, 3/4, etc

it is a natural number because it is a positive integer.

and it is an integer because it does not contain a decimal.

Answer: Natural, whole, integer, rational, real

A landscaper buys for bushes and seven trees for a total of 855.65 if a tree cost $101.95 what is the cost of a bush

Answers

$35.50........... ....

Answer:

7 554 .5

Step-by-step explanation:

46£¥^99$

368¥/%#(₩098$%(₩¥=98€€₩($$¥97

If there are 3.28 feet in a meter , how many are in the 110 meter dash?

Answers

Answer:

360.8

Explanation:
3.28*110

In 110 meter dash, there are 360.8 feet.

What is Simplification?

Simplifying procedures is one way to achieve uniformity in job efforts, expenses, and time. It reduces diversity and variation that is pointless, harmful, or unneeded. Parenthesis, exponents, multiplication, division, addition, and subtraction are all referred to as PEMDAS. The order of the letters in PEMDAS informs you what to calculate first, second, third, and so on, until the computation is finished, given two or more operations in a single statement.

Given that, there are 3.28 feet in a meter

Since,

in 1 meter there are = 3.28 feet

Thus in 110 meters there are = 3.28 * 110 feet

In 110 meters, there are = 360.8 feet

Therefore, there are 360.8 feet in 110 meters dash.

Learn more about Simplification here:

https://brainly.com/question/28996879

#SPJ

Evaluate the expression

Answers

Answer:

361

Step-by-step explanation:

[tex]3 \times {11}^{2} - 2 = 361[/tex]

Answer:

361

Step-by-step explanation:

3(7+4)^2-14÷7

PEMDAS says parentheses first

3(11)^2-14÷7

Then exponents

3(121)-14÷7

Then multiply from left to right

363 -14÷7

363 -2

Subtract

361

-7x-14=2x+13 What does x equal?

Answers

Answer: x = -3

Step-by-step explanation:

Given

-7x - 14 = 2x + 13

Subtract 2x on both sides

-7x - 14 - 2x = 2x + 13 - 2x

-9x - 14 = 13

Add 14 on both sides

-9x - 14 + 14 = 13 + 14

-9x = 27

Divide -9 on both sides

-9x / -9 = 27 / -9

[tex]\boxed {x = -3}[/tex]

Check:

Left-hand side = -7x - 14

                        = -7 (-3) - 14

                        = 21 - 14

                        = 7

Right-hand side = 2x + 13

                           = 2 (-3) + 13

                           = -6 + 13

                           = 7

7 = 7

Hope this helps!! :)

Please let me know if you have any questions

help help help help help help

Answers

Answer:

the answer is no c because the translation is done in clockwise taking y intercept in 6 units

I think the answer is b, I’m not so sure

What is m O M ZABC = 60°
OM ABC = 67°
OM ZABC = 120°
O M ABC = 127°

Answers

Answer:

∠ ABC = 127°

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

∠ ABC is an exterior angle of the triangle , then

∠ ABC = ∠ BDC + ∠BCD = 60° + 67° = 127°

We know that we have a triangle and we want to find the value of its angle which will be given by  53°.

We know that the sum of all the interior angles of a triangle must equal 180 degrees, so we find then:

[tex]ABC=180[/tex]

Now making the sum of the angles already known and equating to 180, we find that:

[tex]180=67+60+x\\x=180-127\\x= 53[/tex]

See more about triangles at brainly.com/question/25813512

HELP I'M REWARDING 50 POINTS (YA IKR 50 WOW) IF YALL GET THIS RIGHT..

Answers

Answer:

232

Step-by-step explanation:

Since the polygon is regular, each side of the polygon is equal

[tex]x + 7 = \frac{4}{3} x - \frac{1}{3} [/tex]

[tex]7 = \frac{1}{3} x - \frac{1}{3} [/tex]

[tex] \frac{22}{3} = \frac{1}{3} x[/tex]

[tex]x = 22[/tex]

This means each side is worth

[tex]22 + 7 = 29[/tex]

or

[tex] \frac{4}{3} x - \frac{1}{3} = \frac{87}{9} = 29[/tex]

There is 8 sides so the perimeter is

[tex]29 \times 8 = 232[/tex]

Amy is six years older than her brother Leo. Leo is seven years old.

If n stands for Amy’s age, which of these sentences could be used to find her age?

Answers

It would have to be 6-7

Which system of inequalities is represented by the graph? ⎧⎩⎨⎪⎪y<−12x+2y≤2x−1y≥−4 ⎧⎩⎨⎪⎪y>−12x+2y≥2x−1y≥−4 ⎧⎩⎨⎪⎪y>−2x+2y≥12x−1y≥−4 ⎧⎩⎨⎪⎪y<−2x+2y≤12x−1y≥−4

Answers

Answer: D

Step-by-step explanation:

Let say a: the line decreasing

b: the line increasing

[tex]a: \ is\ passing\ through\ (0,2)\ and\ (2,-2)\\has \ the \ slope=\frac{2+2}{0-2} =-2\\its\ equation\ is\ y-2=-2(x-0) \ or\ y=-2x+2\ or\ 2x+y-2=0 \\for\ (0,0): -2 <=0\\\\\boxed{First\ region\ is\ y\leq -2x+2}\\\\[/tex]

[tex]b:\ is\ passing\ through\ (2,0)\ and\ (-2,-2) \\has\ the\ slope \ = \frac{-2-0} {-2-2} =\frac{1} {2} \\its\ equation\ is\ y-0=\frac{1}{2}(x-2)\ or\ y=\dfrac{x}{2}-1 \ or\ -x+2y+2=0\\for\ (0,0):\ +2 > 0\\\\\boxed{Second \ region\ is\ y\leq \dfrac{x}{2}-1 }\\[/tex]

Answer is D

4 – 2(x + 7) = 3(x + 5)

Answers

Answer:

x = -5

Step-by-step explanation:

4 – 2(x + 7) = 3(x + 5)

Distribute

4 - 2x-14 = 3x+15

Combine like terms

-2x-10 = 3x+15

Add 2x to each side

-2x-10 +2x= 3x+15+2x

-10 = 5x+15

Subtract 15 from each side

-10-15 = 5x+15-15

-25 = 5x

Divide by 5

-25/5 = 5x/5

-5 =x

Answer:

x = -5

Step-by-step explanation:

4 - 2(x + 7) = 3(x + 5)

so, let's do the multiplications. remember, when two terms are multiplied, then everything of the left is multiplied with everything on the right. and a "-" flips signs.

2(x + 7) = 2x + 14

3(x + 5) = 3x + 15

so, in total

4 - 2x - 14 = 3x + 15

now, we add combinable things together, and we can also move things from one side of the equation to the other (by adding our subtracting the same thing on both sides, so that the value of the expression remains unchanged).

-2x - 10 = 3x + 15

-25 = 5x

and now, what applied to adding and subtracting also aims to multiplication and division. again, it is important to do the same thing to both sides.

-5 = x

The student looks up the word count on his favorite book, if the book has pages that are 5.5 in. x 6.5 in. and 59,540 words how many pages is the book? (This sentence and picture combine.)

Answers

Answer:

199 pages

Step-by-step explanation:

The average number of words on the page is 300.  Because there are 59,540 words and 59540/300 = 198.46 (approximately), there are 199 pages in the book (because the 0.46 pages would be the last page).

WHATS THE BOILING POINT FOR WATER

Answers

The boiling point for water is 100 degrees Celsius

Answer:

Celsius = 100c

Fahrenheit = 212f

What’s V= L times H for W

Answers

Step-by-step explanation:

It could be

V= L×B×H

Hope it helps

Question 4 Multiple Choice Worth 5 points)
Simplify by dividing
(-5/8) divided by (-3/4)

A. 20/24
B. -20/24
C. -15/32
D. 15/32

Answers

Answer:

0.0520833333 is the "techical answer" but the real answer is B

Step-by-step explanation:

if you do the math -5 x 4 / 8 x -3 = -20/24

Hope this helps :)

2. Write each of these expressions in the form (+)!+, where and are constants.
a)6!+12−3
b)−18+3!+4

Answers

Step-by-step explanation:

a)6!+12-3

=6!+9

b)-18+3!+4

=3!-14

=3!+(-14)

both are in the form if (+)!+constant.

Note:if you need to know any question about it please let me know.

Which best describes the meaning of the statement "If A and B ? i dont understand this
A. If A is false then B must be false
B. If A is true then B must be true
C. If A is false , then B must be false
D. if A is true then B might be true

Answers

Was your original statement “If A, then B”?

If so, this means “if you know A is true, then you know B is true.” (Answer: B)

Example: “If (you’re a dog), then (you’re a mammal).”

Also, answers A and C are the same. Was that a typo?

en un trabajo manual de una escuela secundaria se necesitan pedazos alambron de 10,12,16,20 cm de largo, sin que sobre ni falte material. ¿cuanto sera la mejor longitud de alambron que utilice?

a) 80cm b) 360cm c)320 d)120cm e) 240cm

Answers

Hola! No se si buscaste antes por aquí pero ya hay una respuesta anterior a esta pregunta y es la opción D

Answer:

there is no answer of this question

I need help with this problem and please show step by step

Answers

Answer:

a).

[tex]{ \bf{first \: term}} \\ let \: n = 1 \\ n_{1} = {1}^{2} + 3(1) + 1 \\ n_{1} = 5 \\ \\ { \bf{second \: term}} \\ let \: n = 2 \\ n_{2} = {2}^{2} + 3(2) + 1 \\ n_{2} = 11 \\ \\ { \bf{third \: term}} \\ n_{3} = {3}^{2} + 3(3) + 1 \\ n_{3} = 19 \\ \\ { \bf{fourth \: term}} \\ n_{4} = {4}^{2} + 3(4) + 1 \\ n_{4} = 29[/tex]

b).

common difference, d:

[tex]d = n_{4} - n_{3} \\ d = 29 - 19 \\ d = 10\\ but \: increases \: by \: 2 \\ d = 10 + 2 = 12\\ therefore : \\ n_{5} = n_{4} + d \\ n_{5} = 29 + 12 \\ n_{5} = 41[/tex]

c).

[tex]n_{5} = {5}^{2} + 3(5) + 1 \\ n_{5} = 41[/tex]

yes it is the same

draw the graph of the following equation 2(x+1)=3(y-1)-4
anyone knows how to do this ?

Answers

9514 1404 393

Answer:

   see attached

Step-by-step explanation:

I find the easiest way to draw a graph is to let a graphing calculator do it. That result is shown in the attachment.

__

If you're drawing this by hand, it can be easier if it is simplified a bit.

  2(x +1) = 3(y -1) -4

  2x +2 = 3y -3 -4 . . . . . . eliminate parentheses

  2x +9 = 3y . . . . . . . . . . add 7

  y = 2/3x +3 . . . . . . . . . divide by 3

This is the equation of the line in slope-intercept form. It tells you that the point (0, 3) on the y-axis is on the line, and that it has a slope of 2/3. That means it has a rise/run of 2/3, or a rise of 2 units for each 3 units to the right.

Starting from point (0, 3), another point on the line will be 3 over and 2 up, at (3, 5). Once you have a couple of points plotted, you can draw the line through them to make your graph.

4y + 3y + 2y =
please help. Thank you.

Answers

Answer:

9y

Step-by-step explanation:

4y + 3y + 2y

= 4y + 5y

= 9y (Ans)

If the function is f(x)=−3x+7, what is f(1/3)=

Answers

Answer:

6 is the answer. Hope this helps you! Stay blessed .

Please help Q15!!!it will mean a lot +20 points

Answers

Answer:

c seems right

Step-by-step explanation:

Other Questions
List the domain and range of the relation {(1, -9), (8,8), (0, -9), (8, 1), (1,9)} 6. In the triangle ABC, AB = 7 cm, BC = 8 cm and ABC = 90. Point P lies inside the triangle such that BP = PC = 5 cm. Find: a) the perpendicular distance from P to BC b) the length AP.GUYS HELP! jane bought two new skirts for school. one cost 15 less than twice the cost of the total cost for both skirts was 75, what was the cost of each skirt? Complete both Part A and Part B.Part A:Jason buys a pair of pants for $28.97, a top for $12.82 and a scarf for $9.18. He has a gift card worth $75. If the sales tax on the purchase is $3.19, what is the total of his purchase?Part B:Will he have enough money left to buy a hat for $27.15?Explain your answer. Find the value of x and y2x+7y=4-4x-3y=14 what happend on july 30, 1619 What is seen in the middle of March and April that cant be seen at the beginning or end of either month? Select all ratios equivalent to 3:2. How many cups of water will Billy use to fill a 9-liter bucket if one cup holds one sixth of a liter of water? one fifty fourth cup 15 cups 54 cups one fifteenth cup Plane P is a cross-section of the solid below. What shape is the cross section?A. not enough informationB. rectangleC. hexagonD. pentagon when l lived in Germany, I........economics (study) Give one example of neutral oxides which turns colourless liquid at room temperature The sum of 10 and a number x Please put the following symptoms of the common cold in the order in which they usually appear. Runny nose, itchy throat, cough, chest congestion help!! this question is bugging me out Group of cells make:Group of tissues make:Group of organs make: What does 2:6 = 14:_______ our grandparents where more .....than we are today.A)more carelessB)less wise C)less carefulD)more economicalnote : the comprehension talk about recycling in the past as jasmine (dance) her shoes (fall off). we cut down many forests.The Earth becomes hot