What is the sum of the expression (8 − 4i) + (−2 + 7i)?

Answers

Answer 1

Answer:

Your answer is: [tex]6+3i[/tex]

Simplify by combining the real and imaginary parts of each expression.

Step-by-step explanation:

Hope this helped : )


Related Questions

PLEASE HELP ME I DONT KNOW THE ANSWERR

Answers

I can’t see the question bro
Let u = x^(1/3)

Then,

u^2 - 6u - 27 = 0

(u-9)(u+3)=0
u = 9, u = -3

Substitute back

X^(1/3) = 9
(X^(1/3))^3 = 9^3
X = 729

And
X^(1/3) = -3
(X^(1/3))^3 = -3^3
X = -27

In the diagram shown, ZFEH is a right angle. If mZHEG = 41° then which statement below is true? ​

Answers

Answer:

uuuuuuuuuuuuuu

Step-by-step explanation:

convert unit rate 12yd/min = ft/s

Answers

Answer:

12 yards per second = 36 feet per second

Formula: multiply the value in yards per second by the conversion factor '3'.

So, 12 yards per second = 12 × 3 = 36 feet per second.

Step-by-step explanation:

To calculate a yard per second value to the corresponding value in ft/s, just multiply the quantity in yd/s by 3 (the conversion factor).

Here is the formula:

Value in ft/s = value in yd/s × 3

Suppose you want to convert 12 yd/s into ft/s. Using the conversion formula above, you will get:

Value in ft/s = 12 × 3 = 36 ft/s

PLEASE HELP ME!!!
A roller coaster climbs to a height of 248m before it goes into an underground tunnel that is 16m below ground. What is the height difference between the highest point and the lowest?
A) -232
B) -264
C) 264
D) 232

Answers

Answer:  C) 264 meters

===========================================================

Explanation:

Draw a vertical number line. Mark the values 248, 0, and -16 on the number line. The negative value is to indicate it is below 0, while the positive number is above 0.

The distance from 248 to 0 is 248 units. Let A = 248.

The distance from 0 to -16 is 16 units. Let B = 16

The total distance mentioned so far is A+B = 248+16 = 264

So basically if we start at the highest point (248) and go to the ground level, we traveled 248 meters. Then we travel another 16 meters to go from ground level to the lowest point (-16) leading to a total of 248+16=264 meters in total distance from highest to lowest point.

Brad buys two packages of mushrooms. He paid $11.25 for 2/3 lb of Cremini mushrooms and $7.99 for 1/2 lb of Chanterelle mushrooms. Which mushroom cost less per pound?

A. Cremini mushrooms cost less by $0.10
B. Chanterelle mushrooms cost less by $0.10
C. Chanterelle mushrooms cost less by $0.90
D. Cremini mushrooms cost less by $0.90

Answers

I think the answer is B if you ask me

Answer:

C. Chanterelle mushrooms cost less by $0.90 is correct.

Step-by-step explanation:

1. For the Cremini mushrooms, we know it costs $11.25 for 2/3 lb. So, let's divide this amount by 2 to get the amount of money per 1/3 lb of Cremini mushrooms.

11.25 ÷ 2 = 5.63 when rounded to the nearest cent.

Now, let's multiply this by 3 to get the price of 1 lb of Cremini mushrooms.

5.63 x 3 = 16.89

Therefore, 1 pound of Cremini mushroom is $16.89.

2. For the Chanterelle mushrooms, we know that it cost $7.99 for 1/2 lb. So, let's multiply this amount by 2 to get the price per pound.

7.99 x 2 = $15.98

Therefore, 1 pound of Chanterelle mushroom is $15.98.

3. To find the difference between two prices, subtract the price of the smaller quantity (Chanterelle mushroom) from the larger quantity (Cremini mushroom.)

16.89 - 15.98 = $0.91

Even though this answer doesn't match with the exact answer, because we rounded to the nearest cent, we can agree that C. is correct.

can you help me and explain how you got that answer also I only have 8-10 mins to finish this please help me ​

Answers

Answer:

I'm not sure on the first but the second is -32

and in the third 25,000 represents the starting value of the car.

WORK:

2:

h(-5)=(-5)^2 -7

h(-5)=-25-7

h(-5)=-32

What is the domain of this relation?
5
4
3
2
1
-5 -4
-3
-2
-10
1
2
3
4
5
-2.
-3
.
-4
-5
Write the numbers in the domain with commas between them (for example, {1, 2, 3}).
Domain: {

Answers

Answer:

The domain numbers are 4,-3,3,4

Step-by-step explanation:

The nubers from the x-axis are the domain numbers

I hope it helps:)

The variables x and y are related proportionally. When
x = 2,

y = 5.
Find y when
x = 26.


When x = 10 , y =

Answers

Answer: When x=26, y=45

                Whenx=10, y=25

what is y- 10 = 9(x + 8) in standard form

Answers

I think your answer is going to be
“9x-y= -82”
Hope this helps:)

I WILL MARK YOU BRAINLIEST IF YOU EXPLAIN TO ME HOW TO DO IT

Answers

Answer:

Step 1: Draw the points TUVW using the given coordinates (you already did T).

Step 2: For the reflection, in each coordinate replace the x coordinate with -x. E.g., T becomes T' (6,1). Reflection in y axis means the x coordinates swap their sign.

Step 3: Draw the reflected rectangle T'U'V'W'.

Step 4: Replace each coordinate of step 3 with x-5 and y+7, e.g., T' becomes T'' (1, 8)

Step 5: Draw T''U''V''W''

Answer:

see explanation

Step-by-step explanation:

(a)

Under a reflection in the y- axis

a point (x, y ) → (- x, y ) , thus

T(- 6, 1 ) → T'(6, 1 )

U(- 1, 0 ) → (1, 0 )

V(- 2, - 5 ) → V'(2, - 5 )

W(- 7, - 4 ) → W'(7, - 4 )

(b)

The translation rule (x, y ) → (x - 5, y + 7 ) means

Subtract 5 from the original x- coordinate and add 7 to the original y- coordinate, that is

T(- 6, 1 ) → T'(- 6 - 5, 1 + 7 ) → T'(- 11, 8 )

U(- 1, 0 ) → U'(- 1 - 5, 0 + 7 ) → U'(- 6, 7 )

V(- 2, - 5 ) → V'(- 2 - 5, - 5 + 7 ) → V'(- 7, 2 )

W(- 7, - 4 ) → W'(- 7 - 5, - 4 + 7 ) → W'(- 12, 3 )

what is 10 times as much as 0.4

Answers

Answer:

4

Step-by-step explanation:

0.4*10=4

3. What is the Constitution's Nickname?

Step-by-step explanation:

old ironsides

Type the correct answer in the box. Consider the expressions below. A. 11r2 + 61 - 6 B. 712 + 161 + 25 C. 11 r2 5r + 13 D. 772 – 3r + 8 For each expression below, select the letter that corresponds to the equivalent expression given abov (52 + 150 + 65) + (2x - 5)(3x + 8) is equivalent to expression (41 + 1) (3.1 – 4) – (5.12 - 10.r 12) is equivalent to expression (812 + 191 + 4) + (3x + 2)(x – 5) is equivalent to expression (61 + 1)(3. – 7) – (7x2 – 341 – 20) is équivalent to expression​

Answers

Answer:

See attached

Step-by-step explanation:

The answer is in below picture

Answer:

>> In order <<

B, D, A, C

----------------------------------------------------------------------------------------------------------------

(x² + 15x + 65)+(2x - 5)(3x + 8) simplifies to 7x² + 16x + 25. The first blank is (B).

----------------------------------------------------------------------------------------------------------------

(4x + 1)(3x - 4)-(5x² - 10x - 12) simplifies to 7x² – 3x + 8. The second blank is (D).

----------------------------------------------------------------------------------------------------------------

(8x² + 91x + 4)+(3x +2)(x - 5) simplifies to 11x² + 6x - 6. The second blank is (A).

----------------------------------------------------------------------------------------------------------------

(6x + 1)(3x - 7) - (7x² -34x - 20) simplifies to 11x² - 5x + 13. The second blank is (C).

----------------------------------------------------------------------------------------------------------------

Good luck ·ω·

John works 20 hours per week at a part-time job. His original pay rate was $10.50

per hour, but he recently received a pay cut of x dollars per hour for being late to

work too many times. His total weekly pay, y, is represented by the equation

y=20(10.50-x).

If John's earned $160 for the week, what was the amount of his pay cut?

$1.50

$2.50

$2.00

$1.00

Answers

Answer:

2.50$

Step-by-step explanation:

y=20(10.50-x).

160 = 20 (10.50-x)

160 = 210 - x

160 - 210 = -x

-50 = -x

50 = x

50$ Is the total per week, divided by the number of hours 20. You’ll have the cut per hour.

50/20 = 2.50

Answer:

x = $2.50

Step-by-step explanation:

y = 20(10.5 - x)

$160 = 20(10.5 - x )        {use distributive property}

160   = (20*10.5) - (20*x)

160   = 210 - 20x      {Add 20x to both sides}

160 +20x = 210             {Subtract 160 from  both sides}

        20x = 210 - 160

        20x = 50

            x = 50/20

             x = $2.50

What do you call the set of points after you apply the transformation?

Answers

Answer:

The "prime"

Edit: the "prime" is specifically the tic mark that you have to do after a transformation, so there are many names, but my teacher taught me that "prime" is a good way.

Step-by-step explanation:

Answer:

A transformation is a change in the position, size, or shape of a geometric figure. The given figure is called the preimage (original) and the resulting figure is called the new image.

Write a linear inequality to represent the information given. The total fees for the high school play are
$280. Tickets to the play cost $5 for students and $9 for nonstudents. Write a linear inequality that
describes the number of student and nonstudent tickets that need to be sold for the drama class to be.
able to pay the fees. Let x represent the number of student tickets and let y represent the number of
nonstudent tickets.

Answers

Answer:

280 (less than or equal to) 5x + 9y

Step-by-step explanation:

X = students ($5 each)

Y = Non-students ($9 each)

This must add up to greater than( or equal to) $280 in order for taxes to be paid

Which line is parallel to the graph of the line y=−23x−5?

Answers

Parallel has same slope
Y = -23x
Are there any choices?

Which is a simplified form of the expression -(z + 1) + 2(z – 2)?
A. -z – 5
B. 3z – 3
C. z – 5
D. 2z – 5

Answers

answer: c. explanation: you would just use the distributive property then you would add like terms do get your answer. heres my work: -(z+1) + 2(z-2) —> -z-1 + 2z-4 —> z-5
The answer is c. z-5

The day you were born your parents invested $5,000 in CD account (Certificate of Deposit).
The account pays 0.88% annual interest rate. How much money will be in your account by
your high school graduation (18 years)?


Plz help. I need an answer and explanation step by step plz

Answers

Answer:

You will have $5,792 in your account by your high school graduation

Step-by-step explanation:

Simple Interest

Interest calculated on the original principal only of a loan or on the balance of an account.

Unlike compound interest where the interest earned in the compounding periods is added to the new principal, simple interest only considers the principal to calculate the interest.

The interest earned is calculated as follows:

I=P.r.t

Where:

I = Interest

P = initial principal balance

r = interest rate

t = time

The parents invested P = $5,000 in CD account that pays r=0.88% annual interest rate. The rate must be converted to decimal, thus r=0.88/100 =0.0088.

We are required to calculate the total money in the account after t=18 years.

First, we calculate the interest:

I = $5,000 * 0.0088 * 18

I = $792

Adding interest to the principal, we have the future balance in the account:

A = $5,000 + $792 = $5,792

You will have $5,792 in your account by your high school graduation

Estimate 0.00001377 as the product of a single digit number times a power of 10.

Answers

Answer:

1.377*10^-5

Step-by-step explanation:

I'm not sure what you want, but I think you need it in scientific notation.

1.377*10^-5

Jalil and Victoria are each asked to solve the equation ax – c = bx + d for x. Jalil says it is not possible to isolate x because each x has a different unknown coefficient. Victoria believes there is a solution, and shows Jalil her work:

ax – c = bx + d
ax – bx = d + c
x (a – b) = d + c
x = x equals StartFraction d plus c Over a minus b EndFraction.
How can Victoria justify Step 3 of her work?

Rewrite the expression on the left using the distributive property.
Multiply both sides by x.
Rewrite the expression on the left using subtraction.
Divide both sides by x.

Answers

rewrite the expression on the left using the distributive property.

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Rewrite the expression on the left using distributive property.

A landscaping business bought 8 rose bushes and 15 daylilies for $193. They went back later and bought 3 more rose bushes and 12 daylilies for $117. How much does each daylily cost?

Answers

Answer:

Each daylilies  cost $7

Step-by-step explanation:

Step one:

let roses be x

and daylilies be y

so

8x+15y=193--------------1

also

3x+12y=117--------------2

we can solve equations 1 and 2 by substitution

8x=193-15y

x=(193-15y)/8

put x= (193-15y)/8  in 3x+12y=117

3((193-15y)/8)+12y=117

(579-45y)/8+12y=117

579-45y=8(117-12y)

579-45y=936-96y

collect like terms

579-936=-96y+45y

-357=-51y

divide both sides by -51

y=-357/-51

y=7

Hence each daylilies  cost $7

put y=7 in eqn 1

8x+15(7)=193

8x+105=193

8x=193-105

8x=88

x=88/8

x=11

rose cost $8

Somebody help me... cause idk

Answers

Answer:

c

Step-by-step explanation:

The answer is C

Explanation:

10. need help with this question-percentages and proof

Answers

Answer:

the value increased by0.0388

Step-by-step explanation

4% - 3% equals 0.0388 becuase its the diffrence between them is 0.0388

6+n2+1/2d as a coefficient

Answers

Answer: 5x

 

Step-by-step explanation:

Identify examples and non-examples of the standars form of a linear function.
Please help I will give brainliest! ​

Answers

Answer:

[see below]

Step-by-step explanation:

Standard Form Is:

[tex]Ax+By=C[/tex]

C is a constant, where A and B would be coefficients.

Using the standard form equation, below would be examples of a standard

form equation.

[tex]5x-3y=9\\\\2x+3y=0\\\\x+y=1\\\\[/tex]

All others would be non-examples since they are not in standard form.

Hope this helps.

In a recent survey, people were asked if they had a digital camera at
home. Six people had digital cameras, this was 30% of the total number
of people surveyed. How many people were surveyed?

Answers

Answer:

20 people

Step-by-step explanation:

if 6 ppl 30%

then the 100% equals to

6 × 100% ÷ 30% = 20 ppl

Answer:

20 ppl

Step-by-step explanation:

geometric sequence
4,20,100,500

Answers

Answer:

what is the question asking?

a) What is the y-intercept of y = 3x ?
(b) What is the slope of y = -x - 2 ?

Answers

Answer:Q. How would you write the equation with a slope of 2/3 and a y-intercept of -3. answer choices. y=3/2x+3. y=2/3-3. y=2/3x-3. y=2/3x+3. Tags: Question 11.

Step-by-step explanation:

THATS IT I THINK sorry caps

Answer:

0 and - 1

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

(a)

y = 3x or y = 3x + 0 has c = 0 ← y- intercept

Thus line passes through the origin

(b)

y = - x - 2 has m = - 1 ← slope

PLS HELP! 30 POINTS AND BRAINLIEST!!!

Answers

Answer:

C. m<1 + m<5 = 180  (reason: they are consecutive angles, and should be congruent)

Answer:

C. m<1 + m<5 = 180

Step-by-step explanation:


The length of the garden is 10 feet more than twice its width. The perimeter of the garden is 170 feet.
What are the length and width of the garden?

Answers

Answer:

Width is 25 ft

length is 60 ft

Step-by-step explanation:

Here, we want to calculate the length and width of the garden

From the question, we are told that the length is 10 ft more than twice its width

So if the width is x ft

Length = 2x + 10

Mathematically, the perimeter of a rectangle i s 2(l + b)

So;

2(x + 2x + 10) = 170

2(3x + 10) = 170

3x + 10 = 85

3x = 85-10

3x = 75

x = 75/3

x = 25 ft

length is;

2(25) + 10 = 50 + 10 = 60 ft

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