If a=2-√5/2+√5 and b=2+√5/2-√5 find (a+b)³

Answers

Answer 1

Step-by-step explanation:

really ? you need help here ... - that means you did not even look at it once ...

a = 2 - sqrt(5)/2 + sqrt(5)

b = 2 + sqrt(5)/2 - sqrt(5)

a + b = 2 + 2 = 4 (the rest add up to 0)

(a+b)³ = 4³ = 64

Answer 2

Answer:

64

Step-by-step explanation:

Given :

a = 2 - √5/2 + √5b = 2 + √5/2 - √5

Evaluating (a + b)³ :

(2 - √5/2 + √5 + 2 + √5/2 - √5)³(2 + 2 - √5/2 + √5/2 + √5 - √5)³(4)³64

Related Questions

solve for y

y/2 = x

thank you

Answers

Answer:

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

What is the domain of the function graphed below?
O(-2, ∞) O(-3,4] and [7, ∞). O(-∞,4). O [-2,0] and (7, ∞)

Answers

Using it's concept, it is found that the domain of the function graphed below is given by:

[tex](-2,4][/tex] and [tex][7, \infty)[/tex].

What is the domain of a function?

It is the set that contains all possible input values for the function. In a graph, it is given by the values of x.

In this problem, x assumes values greater than -2 and less or equal than 4, and then values of 7 or greater, hence the domain is given by:

[tex](-2,4][/tex] and [tex][7, \infty)[/tex].

More can be learned about the domain of a function at https://brainly.com/question/10891721

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H
3.
6x
++
For this rectangle, find x.
15
180
90
6
k

Answers

Answer:

x =15

Step-by-step explanation:

its a rectangle all interior angles must be equal to 90 so 6x=90

divide by 6 to get x on its own and you get 15

A circle has radius 9.5 cm. Find the length of the arc intercepted by a central angle with measure 120°​

Answers

Answer:

Step-by-step explanation:

Discussion

If the radius goes through 1 rotation. The "angle" gone through is 360 degrees. So the method is to figure out circumference of the circle, multiply this by a fraction involving 120, and you are done.

Formula

Arc Length = (120/360) * 2 * pi * r      Substitute values into this equation.

Givens

Central angle = 120

r = 9.5

Solution

Arc Length = (120/360) * 2 * 3.14 * 9.5

Arc Length = (0.333) * 2 * 3.14 * 9.5

Arc Length = 19.87 cm

John has 9 boxes of apples. Each box holds 10 apples. If 7 of the boxes are full, and 2 of the boxes are half full, how many apples does John have?
A. 29
B. 90
C.80
D. 45

Answers

Answer:

80

Step-by-step explanation:

10x7=70

2x5=10

70+10=80

2 times a number is 62 less than 284 , find the number

Answers

Answer:

The number is 111

Step-by-step explanation:

284-62= 222

2x111=284

Answer:

x = 111.

Step-by-step explanation:

Based on the given conditions, formulate: 2 * x = 284 - 62 Calculate the sum or difference:2 x = 222

I need help please I’m confused

Answers

Answer:

the answer is bottom left trust

Answer:

bottom left is the answer

Step-by-step explanation:

You spin the spinner once.
4
1
3
2
What is P (odd)?
Write your answer as a percentage.

Answers

4 total numbers, 2 are odd


probability of getting odd = 2/4 = 0.50 =50%

Answer: 50%

Which is the graph of x≤2?

Answers

Answer:

Graph 2

Step-by-step explanation:

We are given the inequality x≤2

First off, with the inequality sign being ≤ rather than <, we know that 2 is also included. This means that x can be equal to 2 or less than 2.

Since 2 is included, we know we are looking for a solid line.

That said, we can eliminate the 1st and 4th graphs because there is a dotted line at 2, meaning that 2 is not included.

Next, based on the inequality sign, we know that values less than 2 satisfy it. So judging by the shaded region on each graph, we see that Graph 2 is the one that satisfies it.

For clarity's sake, one trick you can use is thinking of the inequality sign as an arrow. If it points left, values toward the left should be shaded and vice versa.

Lastly, I'll give you the inequality for each graph.

Graph 1: x<2

Graph 2: x≤2

Graph 3: x≥2

Graph 4: x>2

Hope that helps, let me know if you have any questions!

pls help plssssss thank you 20 points

Answers

Answer:

7x - 10 < 11

Step-by-step explanation:

B

Can someone actually HELP me

Answers

Answer:

See below

Step-by-step explanation:

This is two parallel lines crossed by a TRANSVERSAL forming angles 1 - 8 , which are ALL transversal angles .

Angle 2 = angle 6 = angle 4 = angle 8   (congruent)

Angle 1   and  angle 3  and angle 5  and angle 7 are also all equal

A 'straight angle' is a straight line and has a measure of 180 degrees

    look at  angle   1    and angle  2   ....they add up to a straight line = 180 degrees      or angle 1  and angle 6      angle 1 and angle 4    each add to 180 degrees

Any angle in the underlined list above added to any angle in the bold list from above  add to 180 degrees ....

Answer + Step-by-step explanation:

Angles 2 and 6 are transversal and congruent . (True) (Reason : Corresponding angles)

Angles 1 and 7 are transversal and congruent .  (True) (Reason : Alternate Exterior Angles)

Angles 4 and 6 are transversal and congruent .  (True) (Reason : Alternate Interior Angles)

Angles 5 and 7 are transversal and congruent .  (True) (Reason : vertically opposite Angles)

What degree is a straight angle ?  (180 degrees)

What would angles 1 and 6 add up to ?  (180 degrees)

What would angles 8 and 3 add up to ? (180 degrees)

………………………………………………………………………………………

Angles W and Z add up to ?  (180 degrees)

The sum of the 3 angles in a triangle (180 degrees)

Angle Z equals what measure ? (180 - (60+45) = 180 - 105 = 75 degrees)

Angle W equals what (180 - Z = 180 - 75 = 105 degrees)

Find the solution(s) to the system of equations represented in the graph? A circle with a line intersection at (-2,0) and (0,2)

Answers

Answer:

This is your teacher if you do this again, I will contact your parents and you will get in big trouble.

Step-by-step explanation:

Which equation represents the line that passes through the point (4, -5) and is
perpendicular to the line x + 2y = 5?
А
x - 2y = -14
B
x + 2y = -6
C 2x + y = 3
D
2x - y = 13

Answers

Answer:

D. 2x - y = 13

Step-by-step explanation:

We are given the line x + 2y =5

We want to find the equation that is perpendicular to this line, and that also passes through (4, -5)

Perpendicular lines have slopes that multiply to -1

First, let's find the slope of the line

The line is currently in standard form (ax+by=c), which doesn't show the slope; we can convert this line into slope-intercept form (y=mx+b, where m is the slope and b is the y intercept)

To do that, we will need to solve the equation for y

Here it is:

x + 2y = 5

Subtract x from both sides

2y = -x + 5

Divide both sides by 2

y = -1/2x + 5/2

The slope of the line is -1/2

Now, to find the slope of the line perpendicular to it, use this equation:

-1/2m = -1

Multiply both sides by -2

m = 2

The slope of the line perpendicular to it is 2

Here is the equation of the line so far in slope-intercept form

y = 2x + b

We need to find b

As the equation passes through the point (4, -5), we can use it to help solve for b.

Substitute 4 as x and -5 as y.

-5 = 2(4) + b

Multiply

-5 = 8 + b

Subtract 8 from both sides

-13 = b

This is our line:

y = 2x - 13

Even though this is in slope-intercept form, all of the options in your question are in standard form. Ergo, we must convert the line into standard form.

To do this, we can subtract 2x from both sides, as in standard form, x and y are on the same side

-2x + y = -13

Now multiply both sides by -1

2x - y = 13

This makes the answer D.

what is the negation of x is greater than
39

Answers

Step-by-step explanation:

that means the opposite ...

the opposite of

x > 39

is

x <= 39

Billy purchased $100$ shirts at a cost of $\$15$ each and planned to resell them. The first week he sold some of them for $\$25$ each. The second week he sold the rest for $\$20$ each. If his total profit was $\$600$, how many shirts did he sell the first week?

Answers

Answer:

Let the number of shirts he sold the first week = x    and the number sold the second week = 100 - x

So we have      

[Sales] - [Cost] = Profit

[25x + 20(100 - x)] - [15 * 100]  = 600     simplify

25x + 2000 - 20x - 1500 = 600

5x + 500  = 600      subtract 500 from both sides

5x = 100          divide both sides by 5

x = 20 =   the number of shirts sold the first week

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

Let x = number of shirts sold in Week 1

Let y = number of shirts sold in Week 2

Profit = Selling price - cost price

If Billy purchased the shirts at a cost of $15 each, then

Week 1:  Profit per shirt = $25 - $15 = $10Week 2:  Profit per shirt = $20 - $15 = $5

Equation 1

Total of 100 shirts purchased:

⇒ x + y = 100

Equation 2

Total profit of $600:

⇒ 10x + 5y = 600

Rewrite Equation 1 to make y the subject:

⇒ y = 100 - x

Substitute this into Equation 2 and solve for x:

⇒ 10x + 5(100 - x) = 600

⇒ 10x + 500 - 5x = 600

⇒ 10x - 5x + 500 = 600

⇒ 5x + 500 = 600

⇒ 5x = 600 - 500

⇒ 5x = 100

⇒ x = 100 ÷ 5

⇒ x = 20

Therefore, Billy sold 20 shirts in his first week.


PLEASE HELP?! IM SO CONFUSED!!

Answers

Answer:

C.

Step-by-step explanation:

-3 7/8 rounds down to -4

4.63 rounds up to 5

-4 x 6 + 5

-24 + 5

-19

her answer (-19.14) also rounds to -19

So yes, it is reasonable and the correct response is C.

Turn the decimal 0.121212….. into a fraction

Answers

you use a graphing calculator and you get 4/33

find the volume of this figure. round your answer to the nearest hundredth. if necessary

radius=8m
height=12m
#3

Answers

V=πr^2 h/3
Replace the given values in place of the expression

I will give brainliest and 40 points, please help

Answers

2. 1/20, 5%, 0.05
3. 1/5, 20%, 0.2
4. 1/2, 50%, 0.5

Your friend wants to sell his car (Toyota SUV). Your friend did some online research on similar cars and has found the following prices: $13,500 , $12,900, $15,300 , $13,700, and $12,000. What do you think would be a reasonable price for your friend to sell the car for? How did you come up with this price?

Answers

He should sell the car at a price of $15,300 because the profit is more at this price than the others.

What is the best selling price?

The best selling price is defined as if the profit is more than the amount is known as the best selling price.

Your friend wants to sell his car (Toyota SUV).

Your friend did some online research on similar cars and has found the following prices: $13,500 , $12,900, $15,300 , $13,700, and $12,000.

He should sell the car at a price of $15,300 because the profit is more at this price than the others.

More about the best selling price link is given below.

https://brainly.com/question/7644542

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If you have a mean of eight months and a standard deviation of two months approximately what percentage would between 6 to 8 months be

Answers

Answer:

34.1 %

Step-by-step explanation:

One standard deviation below the mean to the mean covers approx  34.1 %

a cube has a volume of 3375 cubic units calculate the length of one side of the cube

Answers

Answer:

volume = length^3

3375= length^3

therefore length = 15 units

Round 0.675 to the nearest tenth

Answers

Answer:

0.70

Step-by-step explanation:

it’s 0.70 because the 0.675 is rounded

The 7 is more than 5 so it’s closer to 8 which that you round up the 6 to a 7 and the same thing with 5. So that is how I know it’s 0.70 after rounding it.

Answer:

0.70

Consider the rounding rule for each place.

6 ≈ next tenths

7 ≈ next tenths

5 ≈ next tenths

This is because...

Below 5? Round down.5? Round up.More than 5? Round up.

What is the value of 0.8–0.6? Write your answer as a fraction in lowest terms

Answers

Given expression:

[tex]0.8 - 0.6[/tex]

To simplify the expression as a fraction in simplest form, let us multiply both terms by 10. Then, both terms must also be divided by 10.

   [tex]\implies \dfrac{[10(0.8) - 10(0.6)]}{10}[/tex]

   [tex]\implies \dfrac{[8 - 6]}{10}[/tex]

   [tex]\implies \dfrac{[2]}{10} = \dfrac{2}{10}[/tex]

When 2/10 is simplified in lowest terms, we get;

   [tex]\implies \dfrac{2}{10} \implies \dfrac{1 \times 2}{5 \times 2} \implies \dfrac{1}{5}[/tex]

Therefore, 0.8 - 0.6 in fraction form is 1/5.

The question is attached.

Answers

Answer:

B

Step-by-step explanation:

1/8 + 1/8 + 1/8 + 2/8 + 5/8 = 10/8 (The total amount of oj in each jug.)

(10/8)/5 = 2/8 (5 for the amount of jugs.)

2/8 = 1/4

help please !!!!!!!!!!

Answers

Answer:

it is -3

Step-by-step explanation:

go to x=-4 and see what the y value of the line is

Answer:

1

Step-by-step explanation:

Find the equation of the line. Start with the y-intercept, which is -1. Next find the slope by doing rise/run. To get from (0, -1) to (2, 0) you rise 1 and run 2, so the slope is 1/2.

The equation is y= 1/2x -1.

Plugin 4 for x and solve for y.

y = 1/2(4) -1

y = 2 - 1

y = 1

Your hair is growing at 1 inch per month. You got your hair cut to 4 inches in length. Write and equation that gives the length of the hair, y, in terms of the months since your haircut, x

Answers

Answer:

Your hair grows 2 to 4 inches in 4 months, 4 to 6 inches in 9 months, and 6 to 8 inches in a year. Though this is how the usual growth cycle works, it also depends on seasonal changes, hair and scalp health, medications, hormonal changes, and diet among other factors.

Step-by-step explanation:

URGENT!!
Statement:

All integers are irrational numbers.

True or False?

No whole numbers are irrational numbers.

True or False?

Some rational numbers are not integers.

True or False?

Some integers are not whole numbers.

True or False?

Answers

Answers:

FalseTrueTrueTrue

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

Explanations:

Any integer is rational. For instance, the integer 7 can be written as 7/1 which is a ratio or fraction of integers. Or we could say 14/2 or 21/3 if you wanted to get a bit creative. Since any integer is rational, this means it cannot be irrational. A real number is either rational or irrational. It cannot be both. The name "irrational" literally means "not rational". This is why statement 1 is false.The claim "no whole numbers are irrational numbers" is a true statement because any whole number is rational (for very similar reasoning as explained in statement 1 above), which means it's not possible for a whole number to be irrational.A rational number like 2/3 is not an integer. A quick way to check is to note that 2/3 = 0.67 approximately. Whole numbers and integers do not have any decimal portion to them. We have confirmed statement 3 is true.The set of integers is {..., -3, -2, -1, 0, 1, 2, 3, ...} while the whole numbers is the set {0, 1, 2, 3, ...}. The key difference is that integers involve negative values. Whole numbers do not have negative values. Something like -7 is an integer, but it is not part of the set of whole numbers. Statement 4 is true because of this.

Part A - determine the slope of Line MN.

Part B - determine the length of line MN.

Answers

Answer slope is - 3/5, line is 11.66
Reason
see attached picture for detailed math

What is the area of a square if one side is 14 centimeters long?

Answers

Answer:

A=a2=142=196cm²

Answer: 196 cm²

hope this helps :)

Answer:

196cm²

Step-by-step explanation:

All of a square's sides are congruent which means if one side is 14cm then all the other sides have to be 14cm as well.

To find the area you multiply the length and the width (A=l*w)

l=14, w=14

14*14=196cm²

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