What is the sum of 15 – 6i and –2 + 9i?

Answers

Answer 1

Answer:

13 + 3i

Step-by-step explanation:

I just used a app for this problem.

Answer 2

Answer:

[tex]13 + 3i[/tex] is the sum of the numbers

Step-by-step explanation:

[tex]13 + 3i[/tex]

[tex]15 - 6i - 2 + 9i[/tex]  → Sum

collect like terms

[tex](15 - 2) + ( - 6i + 9i) =13 + 3i[/tex]


Related Questions

Hihi , please help if able.

Answers

Step-by-step explanation:

the lines on the graph of inequality second option

Number line B.) is your answer
Explanation:
a clear dot means the sign of the inequality is either < or >.
The number where the dot is placed is the number we are comparing to x (-25)

Because we have the inequality symbol “>” (greater than) the line that represents x should be pointing to the right of the number line.

All these descriptions matches number line B

Brainliest will be appreciated
-Spacemarsh, have a nice day! :DD

a radio cost 5400 discount of 121/2% what is the cash price​

Answers

Answer:

2133$

Step-by-step explanation:

5400-(5400$ *60.5/100)


The composition D
0.
(x, y) is applied
0
3(x,°D
to ARST to create the image of AR'S'T", which is not
shown.

Answers

Answer:

S'' = ([tex]-\frac{3}{2} , \frac{9}{2}[/tex] )

Step-by-step explanation:

coordinate of x is (-2 , 6)

scale factor to transform the triangle is 3/2

so to find S' use this scale factor

formula :

(x , y) = (kx , ky)    (k means scale factor)

S(-2 , 6) = S'(3/2 *-2 , 3/2 * 6)

S'(-3 , 9)

now to find S'' again use the same formula

(x , y ) = (kx , ky)

this time take S' and to find S'' use 1/2 as scale factor

S'(-3 , 9) = S''(1/2 *-3 , 1/2 * 9)

S''(-3/2 , 9/2)

The transformation is S'' = (-3/2, 9/2). The correct option is A.

Scale factor refers to the ratio of corresponding lengths or measurements between two similar objects or figures. It represents how much one object has been scaled or enlarged/reduced compared to another object.

The scale factor is determined by dividing the length or measurement of a corresponding side or dimension of one object by the length or measurement of the corresponding side or dimension of the other object. It provides a quantitative relationship between the two objects.

The coordinate of x is (-2, 6). The scale factor to transform the triangle is 3/2 so to find S' use this scale factor.

formula :

(x , y) = (kx, ky)    (k means scale factor)

S(-2 , 6) = S'(3/2 x -2 , 3/2 x 6)

S'(-3 , 9)

Now to find S'' again use the same formula:

(x , y ) = (kx, ky)

this time take S' and to find S'' use 1/2 as the scale factor.

S'(-3 , 9) = S''(1/2 x -3 , 1/2 x 9)

S''(-3/2 , 9/2)

To know more about scale factors follow

https://brainly.com/question/26541943

#SPJ2

Put these numbers in order from greatest to least.

0.32,1/2,0.66, and 0.45

Answers

0.66, 0.45, 1/2, 0.32
.066, 1/2, .45, .32
Explanation
1/2 is .50 and you put the values in descending order

PLZZZ HELP NO LINKS What graph represents the piecewise-defined function?

Answers

Answer:

option alphabet c is the answer

John can jog twice as fast as he can walk. He was able to jog the first 5 miles to his grandmothers house, but the he tired and walked the remaining 2 miles.If the total trip took 0.9 hours, then what was his average jogging speed?

Answers

Formula for speed = distance/ time
S = 7/.9 = 7.77 miles per hour or 8 mph if you round up.

The two triangles are similar.
What is the value of x?
Enter your answer in the box HELP PLS

Answers

Solution for above problem :

The Above triangles are similar, Therefore the corresponding sides would be proportional.

that is : -

[tex] \dfrac{16}{12} = \dfrac{6x}{5x - 2} [/tex]

[tex]16 \times (5x - 2) = 12 \times 6x[/tex]

[tex]80x - 32 = 72x[/tex]

[tex]80x - 72x = 32[/tex]

[tex]8x = 32[/tex]

[tex]x = 32 \div 8[/tex]

[tex]x = 4[/tex]

[tex]\mathfrak{best \: \: of \: \: luck \: \: for \: \: your \: \: assignment}[/tex]

1. Find the sum of the measures of the interior angles of a convex hexagon.
a. 900°
b. 1080°
c. 720°
d. 1440°

Answers

Answer:

could you include a pic please?

Can you please include a picture

What is the output of y=23x−4 when the input is 18?
Enter your answer as a number, like this: 42

Answers

Answer:

410

Step-by-step explanation:

Inputs are x's

Substitute the 18 where you see the x

y = 23(18) - 4

y= 414 - 4

y = 410

What is the value of the 9 in the number 0.09432​

Answers

Answer:

hundredths

Step-by-step explanation:

Numbers after the decimal start with

tenth

hundredth

if 24= 2f+3f+f, find f​

Answers

Answer:

6f = 24

f = 4

Step-by-step explanation:

[tex]\huge\textsf{Hey there!}[/tex]

[tex]\textsf{24= 2f + 3f + f}\\\text{COMBINE the LIKE TERMS}\\\\\textsf{2f + 3f + f}\\\textsf{2f + 3f = \bf 5f}\\\textsf{5f + f}\\\textsf{= \bf 6f}\\\text{New equation: \textsf{6f = 24}}\\\text{DIVIDE 6 to BOTH SIDES}\\\mathsf{\dfrac{6f}{6}=\dfrac{24}{6}}\\\textsf{CANCEL out: }\mathsf{\dfrac{6}{6}}\textsf{ because that gives you 1}\\\textsf{KEEP: }\mathsf{\dfrac{24}{6}}\textsf{ because that helps solve for the f-value}\\\\\mathsf{\dfrac{24}{6}=\bf f}\\\\\\\mathsf{\dfrac{24}{6}=24\div6=\bf 4}[/tex]

[tex]\boxed{\boxed{\large\textsf{Answer: \huge \bf f = 4}}}\huge\checkmark[/tex]

~[tex]\large\textsf{Good luck on your assignment and your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

13. The function y=16 cos(x)+k has a minimum value of -4. What is its maximum value? Explain.

Answers

Answer:

It's maximum value is 28.

Step-by-step explanation:

Cosine function:

The cosine function has the following format:

[tex]f(x) = A\cos{x}[/tex]

The difference between the maximum and minimum point is 2A.

y=16 cos(x)+k

A = 16, so 2A = 32.

Minimum value of -4. What is its maximum value?

[tex]M - (-4) = 32[/tex]

[tex]M + 4 = 32[/tex]

[tex]M = 32 - 4 = 28[/tex]

It's maximum value is 28.

TIME REMAINING
55:06
A city’s bus line is used more as the urban population density increases. The more people in an area, the more likely bus lines will be utilized.

The population of City A, in Texas, is 29,455 and covers an area of 19.42 mi2.
The population of City B, in Alabama, is 34,890 and covers an area of 25.4 mi2.

Which city’s residents are more likely to use public buses? Explain.

The residents of City B are more likely to use public transportation because the city has the lowest population density.
The residents of City B are more likely to use public transportation because the city has the highest population density.
The residents of City A are more likely to use public transportation because the city has the lowest population density.
The residents of City A are more likely to use public transportation because the city has the highest population density.

Answers

Answer:

d

Step-by-step explanation:

i just took the test

The residents of City A are more likely to use public transportation because the city has the highest population density. Therefore, the correct option is A.

What is Population density?

Population density is the amount of people living in a specific area. In this example, City A has 29,455 residents in an area of ​​19.42 square miles, while City B has 34,890 residents in an area of ​​25.4 square miles.

Due to the large number of people living in the small space, the population density is high in City A. Greater demand for public transport services, such buses, is often brought about by higher population density as residents find these services more practical and cost effective to use for commuting and travel. As a result of their increased population density, people in City A are more inclined to use public transport.

Therefore, the correct option is A.

Learn more about population density, here:

https://brainly.com/question/16894337

#SPJ7

QUICK I NEED HELP! I WILL MARK BRAINLIEST!

Answers

Answer:

Mean=7.7

Median=7

Mode=10 and 6

Range=7

Answer:

Mean = 7.7

Median = 7

Mode = 6 and 10

Step-by-step explanation:

Arrange the data in ascending order :

4 , 6 , 6 , 7 , 10 , 10 , 11

Mean is the sum of the data by number of data.

[tex]Mean = \frac{ 4 + 6 + 6 + 7 + 10 + 10+ 11}{7} = \frac{54}{7} = 7 . 7[/tex]

Median is the middle number.

[tex]Median = \ 7[/tex]

Mode most frequent value in the data

[tex]Mode = \ 6 \ and \ 10[/tex]

which numbers are the extremes of the proportion shown below [tex]\frac{4}{7} =\frac{20}{35}[/tex]

Answers

9514 1404 393

Answer:

  4 and 35

Step-by-step explanation:

Written as 4/7 = 20/35, the extremes are the outside numbers: 4 and 35.

Find the value of x that makes A || B.
A
N
B
5
5
22 = 3x – 10 and 23 = x + 30
x= [?]
I
Enter

Answers

Answer:

9

Step-by-step explanation:

A deck of cards is made up of 4 suits: clubs, diamonds, hearts, and spades.

Each suit has 13 cards with
this range: 2, 3, 4, 5, 6, 7, 8, 9, 10, J, Q, K, and A.

If you are trying to calculate the probability of getting an even number when
picking one card from a normal deck, what is the size
of the sample space?

O A. 52

B. 5

C. 13

D. 26

Answers

Answer:

i think the answer is c cuz theres 36 number cards

Name the angle relationship between a and b

Answers

Answer:

∠a=∠b

Step-by-step explanation:

Alternate exterior angles are congruent

angle a is equal to angle b

What are the two possible measures of the angle below?

Answers

Answer:

90 or -270

Step-by-step explanation:

Stella is saving up to buy a new video game. She already has $15 and can save an additional $8 per week using money from her after school job. How much total money would Stella have after 8 weeks of saving? Also, write an expression that represents the amount of money Stella would have saved in w weeks .

Answers

Answer:

Part A;

$79

Part B;

The amount Stella would have saved in 'w' weeks = 15 + 8·w

Step-by-step explanation:

Part A

The amount of money Stella already has = $15

The amount she can save per week = $8

The total amount of money, 'A', Stella would have after 8 weeks is given as follows;

A = The amount Stella already has + The amount she can save per week × The number of weeks of savings

Therefore;

A = 15 + 8 × 8 = 79

The amount Stella would have after 8 weeks, A = $79

Part B

The expression that represents the amount of money Stella would have saved in w weeks is given as follows;

A = The initial amount Stella has + The amount she can save per week × w (number of weeks)

∴ A = 15 + 8·w.

6x - 5y= 70
7x + 2y=66

I need a answer in words step by step please help!!

Answers

(10,-2) or x=10 , y=-2

Answer:

x = 10

y = -2

Step-by-step explanation:

Elimination method:

6x -  5y = 70 -----------------(I)

7x + 2y = 66 -----------------(II)

Multiply equation (I) by 2 and equation (II) by 5 and add. So, y will be eliminated and you can now find the value of x

(I)*2           12x - 10y  = 140

(II)*5          35x + 10y = 330     {Now add}

                 47x           = 470

                              x = 470/47

x = 10

Plugin x = 10 in equation (II)

7*10 + 2y = 66

70 + 2y = 66

Subtract 70 from both sides

2y = 66 - 70

2y = -4

Divide both sides by 2

y = -4/2

y = - 2

what is advertising used for? check all that apply

Answers

influencing consumer tastes
increasing product awareness
promoting company branding

What is the reflection image of P(0, 0) after two reflections, first across x = −3 and then across y = 4?

Answers

Answer:

(-6, 8)

Draw the point, draw the lines of reflection, reflect, find coordinates.

It's urgent i need help someone help me!

Answers

Answer:

x=50, y=20

Step-by-step explanation:

50-20=30, 50+20=70

Fly the super spy is trying to unravel a secret 3 digit code. Fly knows that the first digit must be an even number, an the last must be an odd number. How many differnt combinatons of the threendigit code exist. ( Note; zeto is counted as an even number)

Answers

Answer:

250

Step-by-step explanation:

Given

[tex]n =3[/tex] --- digit code

[tex]First = Even[/tex]

[tex]Last=Odd[/tex]

Required

The different combination of codes

The set of even number is:

[tex]Even = \{0,2,4,6,8\}[/tex]

The set of odd is:

[tex]Odd = \{1,3,5,7,9\}[/tex]

This means that:

The first can be any of the 5 even digits

The last can be any of the 5 odd digits

Since there is no restriction in selection;

The [tex]second[/tex] can be [tex]any[/tex] of [tex]the[/tex] 10 digits

So, the possible combination (k) is:

[tex]k =5 * 10 * 5[/tex]

[tex]k =250[/tex]

Question 1 of 10
Which of the following is equal to the rational expression when x#5?
x² - 25
X-5
A. x + 5
B. X-5
1
C
x+5
O D. X+5
X-5
SUBMIT

Answers

Answer:

A. x + 5

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to Right

Algebra I

Terms/CoefficientsFactoring

Step-by-step explanation:

Step 1: Define

Identify

[tex]\displaystyle \frac{x^2 - 25}{x - 5}[/tex]

Step 2: Simplify

Factor:                                                                                                               [tex]\displaystyle \frac{(x - 5)(x + 5)}{x - 5}[/tex]Divide:                                                                                                            [tex]\displaystyle x + 5[/tex]

Which best describes the relationship between the line that passes through the points (2, 3) and (5, 8) and the line
that passes through the points (-7,5) and (-12, 8)?

a. neither perpendicular nor parallel

b. perpendicular

c. parallel

d. same line

Answers

I believe it is c , parallel

Find the equation for the
following parabola.
Focus (0,5)
Directrix y = -5
A. y2 = 20%
B. X2 = 5y
C. X2 = 20
D. y2 = 5x

Answers

Answer:

C

Step-by-step explanation:

For any point (x, y) on the parabola the focus and directrix are equidistant

Using the distance formula

[tex]\sqrt{x^2+(y-5)^2}[/tex] = | y + 5 | ← square both sides

x² + (y - 5)² = (y + 5)² ← expand parenthesis on both sides

x² + y² - 10y + 25 = y² + 10y + 25 ( subtract y² - 10y + 25 from both sides )

x² = 20y

Math doesn't suit me; I have to cooperate with it.

Answers

Answer:

200 vs 230

$30

Step-by-step explanation:

Lines A and B are parallel
A
1
2
50° 4
B
5 6
8
mZ2 = [?]°

Answers

50 by vertical angles
Other Questions
The Bug House purchased some new machinery last year at a total cost of $18,500. The depreciation to date on this machinery is $3,400. Should the firm opt to sell the machinery today, it could probably do so at a price of $14,150. What is the current book value of this machinery Question 71. Calculate and write your answer as a mixed number1 4/5 + 2 2/3 - 16/15 Jeffrey and Sally are neighbors. They are in a disagreement as to who has to pay for damages to their common fence. The cost of the repairs is less than $2,000. They both want a quick resolution to their problem. Where should they go?Civil courtSmall claims courtProperty courtCriminal court if cos A= 9\13 find csc A How do current events impact the creation of music The area of a wall that needs to be papered is 84sqft. The wallpaper that needs to be papered is 18in wide and 33ft long. Rolls of solid color wallpaper will be used, so patterns do not have to match up. Explain why the work is not correct. nagpapa andar nagpapanatili o nagbubuo ng mga makina, inaayos sa mga kagamitan, nakakaunawa at inaayos ang mga pisikal chemical at biyolohikong function. 678TIME REMAINING50:23Read the excerpt from The Odyssey,What can be learned about the ancient Greeks from thisexcerpt? Choose two answers,They established the first democratic government,They contributed to art, science, and philosophy,He saw the townlandsand learned the minds of many distant men,and weathered many bitter nights and daysin his deep heart at sea, while he fought onlyto save his life, to bring his shipmates home,But not by will nor valor could he save them,for their own recklessness destroyed them allchildren and fools, they killed and feasted onthe cattle of Lord Helios, the Sun,and he who moves all day through heaventook from their eyes the dawn of their return.Of these adventures, Muse, daughter of Zeus,tell us in our time, lift the great song again,They valued perseverance, bravery, and strength,They believed the gods were active in people's lives.They emphasized the importance of physical fitness,MuktionSave and Exit Soluitions and solubility What would you say is the most significant result of the technology revolution in archaeology ? PLS HELPWhich comment would be MOST useful feedback for another writer's flash fiction story?I disagree with the actions of the main character--he definitely made the wrong choice.I think you need to use a dictionary so that you don't misspell so many words.I really liked the part of the story where the main character chose friendship over popularity.I thought your story was kind of confusing, but I really liked reading it anyway. Read this excerpt from Narrative of the Life of Frederick Douglass. I was probably between seven or eight years old when I left Colonel Lloyd's plantation. I left it with joy. I shall never forget the ecstasy with which I received the intelligence that my old master (Anthony) had determined to let me go to Baltimore, to live with Mr. Hugh Auld, brother to my old master's son-in-law, Captain Thomas Auld. I received this information about three days before my departure. They were three of the happiest days I ever enjoyed. I spent the most part of all these three days in the creek, washing off the plantation scruff, and preparing myself for my departure. Which best explains how Douglass uses objectivity to convey his perspective in this passage? A. He uses formal word choice, like "departure," to establish his credibility B. He incorporates the names of influential people who can verify his story O C. He avoids sentimentality by choosing not to linger on his feelings about leaving the plantation. D. He creates pathos by explaining how happy he is to leave Colonel Lloyd's plantation SUBMIT a cell of EMF 1.5 volt is connected in series with a resistor of Resistance 3 ohms a high resistance voltmeter connected across the cell registers 0.9 volt calculate the internal resistance of the cell Feldpausch Corporation has provided the following data from its activity-based costing system: Activity Cost Pool Total Cost Total Activity Assembly $1,372,578 61,800 machine-hours Processing orders $63,235 2,010 orders Inspection $151,316 2,090 inspection-hours The company makes 600 units of product W26B a year, requiring a total of 1,200 machine-hours, 78 orders, and 34 inspection-hours per year. The product's direct materials cost is $49.55 per unit and its direct labor cost is $12.44 per unit. The product sells for $128.70 per unit. According to the activity-based costing system, the product margin for product W26B is:_____.a. $8,458.52.b. $10,920.12.c. $40,026.00.d. $10,912.40. A cone has a diameter of 4 inches and a height of 9 inches. Find the volume of the cone. Use 3.14 for \large \pi. If f(x)=2(x)2 +5w/(x+2)(2) =F(2)= what is the slope of a line perpendicular to the line passing through E(-1,6) and F(-2,-10)? what is web browser ? simplify (1+3i) + (2-5i)