WILL GIVE BRAINLIEST AND 30 POINTS! Simplify −3 + i 7 + i . First, multiply both the numerator and denominator by . The product in the numerator is + i. The product in the denominator is

Answers

Answer 1

Answer:

-2 + i

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

5

Step-by-step explanation:

(-3+i)/ (7+i)

Multiply by the complex conjugate

(-3+i)/ (7+i)  * (7-i)/(7-i)

Numerator

(-3+i)(7-i) = -21 +7i +3i -i^2 = -21 +10 i - (-1) = -21 +10i +1 =-20+10i

Denominator

(7+i)(7-i) = 49 +7i-7i - i^2 = 49 - (-1) = 49+1=50

Numerator over denominator

-20 + 10i

-----------

50

Divide by 10

-2 + i

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

5

Answer 2

Answer:

(-2 + i) / 5

Step-by-step explanation:

(-3 + i)/(7 + i)= (-3 + i)(7 - i) / (7 + i)(7 - i)= (-21 + 3i + 7i - i²) / (49 - i²)= (-21 + 1 + 10i) / (49 + 1) =(- 20 + 10i) / 50 =(-2 + i) / 5

First, multiply both the numerator and denominator by =  7 - i

The product in the numerator is

- 2 + i

The product in the denominator is

5

Related Questions

Use the distributive property to write the following sum as a product.
17a+17b

Answers

Answer:

17(a+b)

Step-by-step explanation:

17 is distributed in the initial equation to both the a and the b

Answer:

17(a+b)

Step-by-step explanation:

Factor out the common term

17a+17b

17(a+b)

James has 12.x coconuts. His father asks if he can take 2/3 of all the coconuts. He just received an income of 31 more coconuts. How many coconuts will be eaten?

A. 7.90
B. 69
C. 23
D. 5.98x

Answers

Answer:

Option D: 5.98x Coconuts

-98 + -5 - 89 + 5 + 7

Answers

Answer:

-180 is your answer.

Step-by-step explanation:

Answer: -180

Step-by-step explanation: I uh, used the calculator app on my phone.

The radius of a circle is 7m. Find the circumference to the nearest tenth(urgent)

Answers

Answer:

The circumference of the circle is 43.96m. This number rounded to the nearest tenth would make the circumference 44m.

Step-by-step explanation:

First, we must know the formula for finding the circumference of a circle.

[tex]Circumference = d\pi[/tex]

We are given the radius. In order to find the diameter, then we have to multiply the radius by 2 because the radius is half the size of the diameter.

7 * 2 = 14

Now, let's plug in 14 into our formula. We will 3.14 for pi.

[tex]Circumference=(14)\pi[/tex]

[tex]Circumference=43.96[/tex]

This number rounded to the nearest tenth is 44.

Answer:

Answer is 44 m

Answer is rounded to the nearest tenth place.

Step-by-step explanation:

[tex]given \: that \\ radius \: of \: circle \: (r) = 7 \: m \\ we \: know \: that \\ circumference \: = 2\pi \: r \\ on \: substituting \: r = 7 \: m \: in \: formula \\ we \: get \\ circumference \: = 2\pi \times 7 \\ = 14\pi \\ substitute \: \pi = \frac{22}{7} \\ = 14 \times \frac{22}{7} \\ = 2 \times 22 \\ = 44 \: m \\ answer \: is \: rounded \: to \: nearest \: tenth.[/tex]

HAVE A NICE DAY!

THANKS FOR GIVING ME THE OPPORTUNITY TO ANSWER YOUR QUESTION.

The function f(x) is shown in this graph please help because I can’t understand this concept

Answers

Answer:

d) the slope of f(x) is greater than the slope of g(x)

Step-by-step explanation:

to find the slope of an equation, you look at its rise/run. for f(x), you can see that from one point (0, 3) to another (1, 1) it goes down 2 values (3 - 1) and over 1 value (0 + 1). because it goes down 2 values, the rise is -2, and because it moves to the side 1 value positively, the run is +1.

-2/+1 = -2. this means the slope of f(x) = -2.

finally, it says the slope of g(x) = -6, and -2 > -6. i hope this helps! :)

Which situation below would represent a negative rate of change:
John's parents put $40 on his school account for lunch. Each day he pays $3 for
lunch. Let y represent the amount of money John has after x days in his school
account.
Judy is babysitting after school and charges $20 a day. Each day she gets paid, she
puts half of what she earns in a savings account. Let y represent the amount of
money Judy has in her bank account after x days.

Answers

Answer: John's situation

Step-by-step explanation:

Hi, to answer this question we have to write an equation for each situation.

John’s situation:

The amount of money that John has (y) is equal to his school account (40) minus the product of the number of days (x) and the amount he spends per day( 3)

y =40-3x

As days pass by, John has less money (negative rate of change)

Judy's situation

The amount of money that Judy has in her savings account (y) is equal to the product of the number of days (x) and the amount he saves per day (20/2)

y = x (20/2)

Sandra and Jenny spend a certain amount of money from their money box each month to buy plants. The table (function 1) shows the relationship between the amount of money (y) remaining in Sandra’s money box and the number of months (x):
Number of Months Amount Remaining (in $)
(x) (y)


1 50

2 45

3 40

4 35

The equation (function 2) shows the relationship between the amount of money, y, remaining in Jenny’s money box and the number of months, x:

Function 2
y = −6x + 50

Which statement explains which function shows a greater rate of change?
Function 2 shows a greater rate of change because Jenny spends $6 each month and Sandra spends $5 each month.
Function 2 shows a greater rate of change because Jenny spends $50 each month and Sandra spends $15 each month.
Function 1 shows a greater rate of change because Sandra spends $15 each month and Jenny spends $44 each month.
Function 1 shows a greater rate of change because Sandra spends $5 each month and Jenny spends −$6 each month.

Answers

Answer: “Function two shows a greater rate of change because Jenny spends $6 each month and Sandra spends $5 each month.”

What is the product?
(x+3)(2x - 1)
2x²-3
2x²+66
O 2x²+5x-3
2x²+6x-3

Answers

It’s 2x^2 + 5x - 3.

please come in clutch and help me please and thank you!

Answers

Answer:

3/20

Step-by-step explanation:

its 3/20 because its really the only possible answer that has 20 has its denominator

Determine the value of y. answers : A) 46° B) 226° C) 180° D) 134°

Answers

Answer:

a) 46

Step-by-step explanation:

The total degrees of a straight line is 180, so if the angle on the other side of y is 134, then you subtract 180-134, to know the y value

180-134=46

UGH HELP :(
Use the distributive property to write the expression without parentheses. Then simplify the​ result, if possible.
5(4x+3)

Answers

Answer:

5(4x+3)

5×4x + 5×3

20x+15

Find the inverse of the equation y=2/3x-6

Answers

Answer:

2/3x−6

Step-by-step explanation:

A colour printer prints 38 pages in 11 minutes. How many pages does it print per minute? round to nearest hundredth.

Answers

Answer:

3.45

Step-by-step explanation:

If the printer can print 38 pages in 11 minutes and we want to find how many it prints per minute, we can divide the number of pages printed by the time it took.

So, divide 38 by 11.

38/11 = 3.454545

Round to nearest hundredth:   3.45

Answer:

3.45 pages per minute

Step-by-step explanation:

Take the number of pages and divide by the number of minutes

38 pages/11 minutes

3.45454545 pages/minute

To the nearest hundredth

3.45 pages per minute

2a) What is the side length of the following square?*

Answers

Answer:

Exact answer: [tex] \sqrt{29} [/tex]

Approximate answer: [tex] 5.385 [/tex]

Step-by-step explanation:

Start at the bottom vertex.

Go up 5 units, then go left 2 units. Now you're at the left vertex.

The vertical segment 5 units long and the horizontal segment 2 units long are the legs of a right triangle. The left side of the square is the hypotenuse of that right triangle.

We now use the Pythagorean theorem to find the length of the hypotenuse.

[tex] c^2 = a^2 + b^2 [/tex]

[tex] c^2 = 5^2 + 2^2 [/tex]

[tex] c^2 = 25 + 4 [/tex]

[tex] c^2 = 29 [/tex]

[tex] c = \sqrt{29} [/tex]

[tex] c \approx 5.385 [/tex]

PLEASE SOLVE THE FOLLOWING PROBLEM! IT'S SUPER EASY! |2x−3| =5

Answers

Answer:

We can split this into 2 "cases": 2x - 3 = 5 and 2x - 3 = -5 because you can find the absolute value of negative numbers as well. Solving the two cases we get x = 4, -1.

Answer:

4, -1

Step-by-step explanation:

2x-3=5

x=4

2x-3=-5

x=-1

Which expressions are equivalent to -90-60w

Answers

Answer:

Two algebraic expressions are equivalent if they always lead to the same result when you evaluate them, no matter what values you substitute for the variables. For example, if you substitute x := 3 in x + x + 4, then you get 3 + 3 + 4, which works out to 10; and if you substitute it in 2x + 4, then you get 2(3) + 4, which also works out to 10.

Step-by-step explanation:


The football club sold bags of candy and cookies to raise money for the spring show. Bags of candy cost $6.00
, and bags of cookies cost $4
, and sales equaled $40
in total. There were 3 more bags of cookies than candy sold.
Find the number of bags of candy and cookies sold by the football club.

Answers

Answer:

Candy=x=2.8 bags

Cookies=3+2.8=5.8 bags

Step-by-step explanation:

Price

Bag of candy=$6.00

Bag of cookies=$4

Total sales=$40

Quantity

Let cookies=y=3+x

Let candy=x

There are 3 more bag of cookies than candy sold

Total sales=price*quantity of x + price*quantity of y

40=$4*(3+x) + 6*x

40=12+4x+6x

40=12+10x

40-12=10x

28=10x

X=28/10

x=2.8 bags

Which expression is equivalent to the given expression?
(6n-5)(3n-3)?
A.36n11
B.54n30
C. 36n30
D.54n11

Answers

Answer:

The answer is C = 36n30

Step-by-step explanation:

I don’t need you to explain I just need the answer.

Answers

Answer:

Yes Yes No Yes

Create a two column proof for each question. Please help!!

Answers

Answer:

In this way it is proved

WILL GIVE BRAINLIEST!! TONS OF POINTS!!
Examine your selected object and the construction you made from 1.08. Which transformations (translations, reflections, or rotations) are present in the construction?

Use complete sentences to describe the transformations present in your construction.
** this should be a well thought out, descriptive, and accurate response.

Answers

Answer:

Step-by-step explanation:

In this this construction reflections is present on the 2 line posts by the side. Why I say this is because the line post on the right reflected or translated to the right. Also the little line in the middle was a rotation and dilation, to stay between the posts. So this is why this stool took a translations, reflections, and rotations.

Hope this helps

HELP ASAP!!!! There is a clip below.

Answers

Answer:

7/4 x 3/2 x 1/2 = 1 5/16 or 21/16

Step-by-step explanation:

Given: Angle1 and Angle2 are complements,
Angle2 and Angle3 are complements, and mAngle1 = 35°.
Prove: mAngle3 = 35°
4 lines extend from a point and form 3 angles. The angles are labeled 1, 2, 3 from left to right.
Complete the missing parts of the paragraph proof.
By the , we know that angle 1 is congruent to angle 3. The measure of angle 1 equals the measure of angle 3 by the definition of angles. Then, using the property, the measure of angle 3 is degrees.

Answers

Answer:

Step-by-step explanation:

complementary angles =90 degrees

Angle 2+ angle 1 = 90 degrees

Angle 1 =35 degrees

Angle 2 = 90-35 = 45 degrees

Angle 2 + angle 3 = 90

Angle 3= 90-45 = 35 degrees ( proved)

I hope this help

Answer:

Given: Angle1 and Angle2 are complements,

Angle2 and Angle3 are complements, and mAngle1 = 35°.

Prove: mAngle3 = 35°

4 lines extend from a point and form 3 angles. The angles are labeled 1, 2, 3 from left to right.

Complete the missing parts of the paragraph proof.

By the  

✔ congruent complements theorem

, we know that angle 1 is congruent to angle 3. The measure of angle 1 equals the measure of angle 3 by the definition of  

✔ congruent

angles. Then, using the  

property

✔?

, the measure of angle 3 is  

✔ 35

degrees.

Step-by-step explanation:

EMERGENCY REALLY NEED HELP only answer this one queastion and i will give brainly and 30 points PLEASE HELP ME JESUS

Answers

Answer:

boundary lines are parallel

Step-by-step explanation:

When there are no solutions  to a system of equations which consists of two lines, it means the lines are parallel, but have different y intercepts.  This happens when the boundary lines are parallel

Answer:

The boundary lines are parallel

Ronald throws a football at an intial velocity of 20 ft per sec. He releases the ball at a height of 5 feet.
1) What is the height of the football at time 2.25 seconds?
2) When does this football reach the highest point of its flight?
3) When does this football hit the ground?

Answers

Answer:

1) the football already reached the ground

2) t = 0.625 seconds

3) t = 1.46 seconds

Step-by-step explanation:

Data

initial velocity, Vi = 20 ft/sinitial height, Hi = 5 feet.gravitational acceleration, g = 32 ft/s²

1) time, t = 2.25 s

To relate these variables we need to use the next equation:

H = Hi + Vi*t - 1/2*g*t²

H = 5 + 20*2.25 - 1/2*32*2.25²

H = -31 ft

that is, 31 ft under the line of reference. This means that the football already reached the ground

2) At the highest point the final velocity (Vf) is zero.

To relate these variables we need to use the next equation:

Vf = Vi - g*t = 0

Vi = g*t

t = Vi/g

t = 20/32

t = 0.625 s

3) When the football hits the ground, ΔH = -5 ft. Then:

ΔH = Vi*t - 1/2*g*t²

-5 = 20*t - 1/2*32*t²

0 = -16t² + 20t + 5

Using quadratic formula:

[tex] t = \frac{-b \pm \sqrt{b^2 - 4(a)(c)}}{2(a)} [/tex]

[tex] t = \frac{-20 \pm \sqrt{20^2 - 4(-16)(5)}}{2(-16)} [/tex]

[tex]t = \frac{-20 \pm 26.83}{-32}[/tex]

[tex]t_1 = \frac{-20 + 26.83}{-32}[/tex]

[tex] t_1 = -0.21 [/tex]

[tex]t_2 = \frac{-20 - 26.83}{-32}[/tex]

[tex] t_2 =1.46 [/tex]

The first result is discarded because it doesn't have physical sense. So, the football hit the ground after 1.46 seconds

Describe the solutions of 6+y<10 in words.
The value of y is a number less than 4.
The value of y is a number equal to 3.
The value of y is a number less than or equal to 3.
The value of y is a number greater than 4.​

Answers

The value of y is a number equal to 3

PLEASE HELP ME!....Check all that are possible units for measuring time in the metric system. A. Millisecond B. Hour C. Second D. Meter

Answers

Answer: A

Step-by-step explanation:

Took the test

Which ordered pair is the solution to the system of equations? {x+2y=−8y=12x−2

Answers

Answer:

[tex]\left( -\dfrac{4}{25}, -\dfrac{98}{25} \right)[/tex]

Step-by-step explanation:

[tex]x+2y=-8 \\\\y=12x-2[/tex]

Substitute:

[tex]x+2(12x-2)=-8[/tex]

Expand:

[tex]x+24x-4=-8[/tex]

Simplify:

[tex]25x=-4[/tex]

Divide both sides by 25:

[tex]x=-\dfrac{4}{25}[/tex]

Plug this back into one of the original equations to find y:

[tex]-\dfrac{4}{25}+2y=-8 \\\\\\2y=-7 \dfrac{21}{25}=-\dfrac{196}{25} \\\\\\y=-\dfrac{98}{25}[/tex]

The ordered pair that represents this solution is therefore:

[tex]\left( -\dfrac{4}{25}, -\dfrac{98}{25} \right)[/tex]

Hope this helps!

Which statements are true about exponential decay functions? Check all that apply.
The domain is all real numbers.
As the input increases, the output increases.
The graph is the same as that of an exponential growth function
The base must be less than 1 and greater than 0.
The function has a constant multiplicative rate of change.

Answers

Answer: the domain is all real numbers.

The base must be less than 1 and greater than 0.

The function has a consumer multiplicative rate of change.

Step-by-step explanation:

Answer:

A, D, E

Step-by-step explanation:

100% on edg

f(x)=x g(x)=1
What is the domain of (f/g)(x)?

Answers

Answer:

on edge

the first one is x=0 or a

and

all real numbers or C

Step-by-step explanation:

(f/g)(x) ⇒ f(x)/g(x) ⇒ x/1

Therefore, we look at the domain of the function x/1. There will almost always only be a gap if the denominator = 0. However, 1 ≠ 0, so therefore, there are no gaps or endpoints. Therefore, the domain is all real numbers

Answer:

First answer is A

Second answer C

Step-by-step explanation:

Edge 2020

Other Questions
why was the invention of writing in early civilizations significant Regulating the manufacture ofis the function of RNA.proteincellsenergy Which of these statements is true for f(x) =- (3)A. The range of (x) is y toB. The domain of fx) is x > 0.C. It is always increasingD. The graph contains How long will a plastic bottle last on the beach Suppose $4000 is invested at 6% interest compounded annually. How much money will there be in the bank at the end of 5 years? At the end of 20 years? m 1 = a) 40 b) 130 c)50 Can someone explain to me a couple of things (more than one) obstacle immigrants faced when trying to access the pull factor that brought them to America?it'll help get me on the right writing track I know there were many issues but I just need a little boost forward.The pull factor is: something that attracts people to go and live in a particular place. Pull factors are responsible for dictating where migrants end up. The radius r of a sphere is increasing at a rate of 3 inches per minute. (a) Find the rate of change of the volume when r = 9 inches. in.3/min (b) Find the rate of change of the volume when r = 37 inches. in.3/min What relationship does the chart show between active military and employed workers? The number of active military increased as the number of employed workers decreased. The number of active military and employed workers decreased steadily. The number of active military and employed workers jumped at the same time. The number of active military decreased as the number of employed workers increased. Part 2 of Chapter 11 Review Did hitler do any drugs and if so what drugs Solve the problem. When going more than 38 miles per hour, the gas mileage of a certain car fits the model where x is the speed of the car in miles per hour and y is the miles per gallon of gasoline. Based on this model, at what speed will the car average 15 miles per gallon? (Round to nearest whole number.) 10.Conduction is the method of heat transfer in solids but not liquids and gases. Why?(1 Point)Finiter your The following information ($ in millions) comes from a recent annual report of Amazon, Inc.: Net sales $10,722 Total assets 4,417 End of year balance in cash 1,104 Total stockholders' equity 503 Gross profit (Sales - Cost of Sales). 2,458 Net increase in cash for the year 19 Operating expenses 2,062 Net operating cash flow 772 Other income (expense), net (30)a. Compute Amazon's balance in cash at the beginning of the year.b. Compute Amazon's total liabilities at the end of the year.c. Compute cost of goods sold for the year.d. Compute the income before income tax for Amazon. What was the difference between the two sections of New Jersey? "Give a man a fish, he will eat for a day. Teach a man to fish, he will eat for a lifetime." What does it mean? A(n) __________ can be added to milk to neutralize it. Please Answer the following with explanation and formula with neat typing Which polynomial is written in descending order of the powers of the variable?A. -2x^3+6x^2-9x+5B. 5-9x+6x^2-2x^3C. 5+6x^2-9x-2x^3D. -2x^3+5+6x^2-9x^2-9x Cmo es el tomo, de acuerdo con el modelo de pudn de pasas?