if 3x - 2y = 9 , 27x³- 8y³= 1377 , prove that xy = 4



plzz answer this question... ​

Answers

Answer 1

Step-by-step explanation:

Here we are given that , the Value of

[tex] 3x - 2y = 9 [/tex] [tex] 27x^3 - 8y^3 = 1377 [/tex]

And we need to find the prove that ,

[tex] xy = 4 [/tex]

We know a identity as ,

[tex] (a-b)^3 = a^3-b^3-3ab(a-b) [/tex]

On cubing both sides of the given equation,

[tex] (3x-2y)^3 = 9^3 [/tex]

Simplify and then substitute ,

[tex] 27x^3-8y^3 -3(3x)(2y)(3x-2y ) = 729[/tex]

[tex] 1377 - 18xy (9) = 729 [/tex]

[tex] 162xy = 1377-729 [/tex]

[tex] xy =\dfrac{648}{162}[/tex]

[tex]xy = 4 [/tex]

Hence Proved !


Related Questions

What is the significance of a correlation coefficient of − 0 . 97 ?

Answers

Answer:

The points all lie very close to the line of fit, and the

line is decreasing.

Step-by-step explanation:

Brainliest maybe

Answer: A.) The points all lie very close to the line of fit, and the line is decreasing.

find the decimal equivalent of ¾ ounce to the thousandths place

Answers

0.75

Explanation:

Every 1/4 is 25. If you want to calculate them, then you're going to need 1/4 to find 25. In some other cases, 25, can also be written as another decimal. Such as, 4/100.

100/4 is 25. For example:

Woah! You have 3/4 of a dollar. You're really saving up money fast!

This example means that the person has 75 cents.

For an ounce, that would mean 0.04 pounds.

lols ppz help1/2 (2 1/2×4 4/5-7 1/2)????,,,,,​

Answers

Answer:

If you've written it correctly, the answer is 2.25.

Step-by-step explanation:

Can be written as:

0.5 * (2.5 * 4.8 - 7.5).

Perform the multiplications inside the brackets, first:

0.5 * ( 12 - 7.5)

Then perform the remaining arithmetic inside the brackets:

0.5 * ( 4.5)

Perform the last arithmetic:

2.25.

Again, that's if you've written it correctly, and when you say 4 4/5-7 1/2 this actually means four and four fifths (4.8) minus seven and a half (7.5).

Answer:

[tex] - 2 \times \frac{3}{80} [/tex]

Step-by-step explanation:

solve using BODMAS

help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee

Answers

Answer:

a) 2.083

b) 4.713

I hope this helps. :) ( I also multiplied them to check)

Answer:  A

Step-by-step explanation:

Perform the operation. Enter your answer in scientific notation.
(7 x 10^*9)(5.6 x 10^*8)

Answers

Answer:

3.92 × 10 ^18

Step-by-step explanation:

(7 x 10^*9)(5.6 x 10^*8)

(7000000000)(560000000)

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the  

10

If the decimal is moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

HELP ME PLEASE!!! 12 points!

Answers

Answer:

-18

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

Parentheses first so

7-10=-3

then the brackets

-2-3-15=-20

-4-20=-24

so thats the numerator

the denominator is

2(-1)=-2

-20/-2= ?

We can remove the negative because two negatives make a positive then we would divide by 2

20/2=10

and that's our answer! :)

True or False: Midpoint is represented by a whole number, Indicating a length.

Answers

your answer is false

Solve the math problem

Answers

x+50+70+4x=180

combine like terms

50+70=120

subtract 120 by both sides

x+4x=60

combine like terms

5x=60

divide by 5

x=12

4x12=48

B=48

12+50=62

48+62=110

110+70=180

x=12

A=62

B=48

Go follow lolzzzz
Did George Washington have a middle name

Answers

Answer:

Lol, I would like to answer the question tho...

(George Washington did not have a middle name.)

Step-by-step explanation:

Divide Rs 2500 in the proportion of 1:2:3:4 in four parts.

Answers

Answer:

250 : 500 : 750 : 1000

Step-by-step explanation:

2500 ÷ 1+2+3+4

2500 ÷ 10

250

Therefore the answer is,

1 : 2 : 3 : 4

250 : 500 : 750 : 1000

please help me!!!!! ​

Answers

Answer:

The equation is 39=3r-6

Step-by-step explanation:

Let x = # of years from the start of the Great Depression to the first Presidential election of Nixon

Let r = Raul's age

The question gives us what x equals so...

x=39

Now we just turn the sentence into an equation.

"The number of years from the start of the Great Depression to the first Presidential election of Nixon [(x)] is six years less than three times Raul's age [(3r-6)]"

Remove the icky words...

x=3r-6

replace x with what it equals (39)

39=3r-6

Now you can go on to olve it

Overal Raul is only 15 :)

Evaluate the following real numbers:

1. l5l + l4l
2. 0.4 ÷ 10
3. ¼ + ⅔
4. 3 × 1 ½
5. ⅓ - ¼
6. (⅜) (8/5)
7. ⅖ + ⅗
8. -1 + (-1) + [-(9+4)]
9. the value of x + y if x = 4 and y = 6
10. 9² + 3³

Answers

Answer:

Q.1 Answer is 9

Q.2 Answer is 0.04

Q.3 Answer is 11/12

Q.4 Answer is 3/2

Q.5 Answer is 1/12

Q.6 Answer is 3/5

Q.7 Answer is 1

Q.8 Answer is -15

Q.9 Answer is 10

Q.10 Answer is 108

Need help on the 2 questions ASAP and SHOW WORK PLEASE !!!! 50 points ????

Answers

Answer:

-4 - 8-=-4

Step-by-step explanation:

A lightbulb consumes 1440 watt-hours Per day how many watt-hours does it consume in three days and 12 hours?

Answers

Answer:

it consumes 5040 watt hour in 3 days and 12 hours. Happy to Help :)

Step-by-step explanation:

what is 843.5 x 10 with a exponent of 2

Answers

Answer:

84,350

Step-by-step explanation:

843.5 x 10^2 = answer

Answer:

84350

Step-by-step explanation:

How do you solve y=3x²-6x-1 using completing the square?

Answers

(B/2)^2 is the formula you need to complete the square
B is the second term which is -6
So let’s plug it into the formula
(-6/2)^2
(-3)^2= 9

please help me with this

Answers

Answer:

The circumference is the distance around a circle. In other words, it's the perimeter of the circle. And we find the circumference by using the formula C = 2πr.

Step-by-step explanation:

Hank's pickup can travel 54 miles on 3 gallons of gas. How many gallons will​ Hank's pickup need to travel 36 ​miles?

Answers

Answer:

2 gallons

Step-by-step explanation:

Multiply 5x(6x−4)

A- 11x^2+x
B- 30x^2 - 4
C - 30x^2 + 20x
D - 30x^2 - 20x

Answers

D

30x/2-20x


It’s D

The answer

Use the given figure to complete the statement below. is the bisector of ∠COA.

Answers

Answer:

45

Step-by-step explanation:

the width of a rectangular room is 3m shorter than its length . if its perimeter must not exceed 42m , calculate the greatest length the room can have​

Answers

The width of a rectangular room is 3 m shorter than its length. If its perimeter must not exceed 42 m, calculate the greatest length that the room can have.


Pls help will mark the brainiest

Answers

I’m pretty sure it’s answer a!

Solve 2x - 4 > 10 and select all of the following answer choices that would make this inequality true.

Answers

Future value = FV = $6000

Time period = n = 8

interest rate = r = 12%

Present value (PV) is calculated using the formula:

PV = FV/(1+r)n

Present Value = PV = 6000/(1+12%)8 = 6000/1.128 = 2423.299368

Answer -> 2,423

chu vi của một hình chữ nhật là 240 cm. Tính diện tích hình chữ nhật đó, biết tỉ số độ dài hai cạnh là 5 và 7

Answers

(-) Tỉ số độ dài 2 cạnh là 5 và 7
=> Chiều rộng = 5:12, chiều dài = 7:12
(-) Chu vi = 240 suy ra tổng chiều dài + chiều rộng = 240 : 2 = 120
(-) Chiều rộng = 120 x 5 : 12 = 50
Chiều dài = 120 x 7 : 12 = 70
(-) Diện tích = 50 x 70 = 3500

Which expression is equivalent to 6m + (m – 2)(m + 7) + 3?

Answers

Answer:

m^2 + 11m - 11

Step-by-step explanation:

Step 1: Distribute.

[tex]6m + (m)(m) + (m)(7) + (-2)(m) + (-2)(7) + 3[/tex] [tex]6m + m^2 + 7m -2m -14 + 3[/tex]

Step 2: Combine like terms.

[tex](m^2)+(6m+7m-2m)+(-14+3)[/tex] [tex]m^2 + 11m - 11[/tex]

Therefore, the answer is [tex]m^2 + 11m - 11[/tex].

what is the slope of this line?
a) -1/3
b)1/3
c) -2/3
d) 2/3​

Answers

Answer:

look at the picture i have sent

Help me please!Please look at the pic then tell me if im wrong on something.Thank you! :)

Answers

Answer: for every 3 triangles there are 5 squares. not 4. so the ratio is 3:5.

could you give me brainliest pls?

A regular pentagon, a regular octagon, and∠ meet at a point. What is m< SBY?

Answers

Answer:

117

Step-by-step explanation:

Each angle of a regular pentagon = 108

Each angle of regular octagon = 135

135+ 108 + ∠SBY = 360

       243 + ∠SBY = 360

                 ∠SBY = 360 - 243

∠SBY = 117°

Over 4 days, Krista deposited $45 into her bank account, transferred $30 1 point
to a friend, deposited $59, and withdrew $18. What was the mean change
per day to Krista's account in dollars during that week? *

Answers

So $59 is $18 I only got $20 dollars and 25 cents so what is that

What is 5 1/4 x 4 1/5

Answers

Answer:

The answer to your question is 22 1/20

Answer: [tex]22\frac{1}{20}[/tex] or 22.05

Step-by-step explanation:

[tex]\frac{21}{4}[/tex] × [tex]\frac{21}{5}[/tex]

[tex]=\frac{441}{20}[/tex]

[tex]22\frac{1}{20}[/tex] or 22.05

please give me a brainliest answer

Other Questions
[tex]\sf x-5=16[/tex] can someone please help me with this A Nurse Is Preparing To Administer Lactated Ringer's (LR) 250 ML IV To Infuse Over 30 Min. The nurse should set the iv pump to deliver how many Ml/HR? (Round the answer to nearest whole number) What is generally TRUE about deductibles in insurance policies?A. With a $500 deductible, the insurer pays the first $500 of any claim.B. Deductibles apply for every quarter of the year (every three months.)C. Policies with higher deductibles have extremely high premiums.D. Policies with lower deductibles have higher premiums. What should be done first to evaluate the expression?9 - 4 5 + 3 6 A linear function has a slope of 8/3 and passes through the point (0,5). What is the equation of the line? find the square root of 20 upon 121 If 3x + 2y= 14 and 5x + 3y = 12, then find the value of 5x- y. a. 100b. 124c. -100d. -124 Two coins, made of different material, are placed next to each other so that they are touching. Both coins are 15mm in diameter. One coin has a mass of 6.5 g and the gravitational force between the coins is 4.03 10^-11 N Which statement describes the relationship between trees and global warming? A. Trees introduce chemicals into the air that are speeding up global warming. B. Trees remove chemicals from the environment that contribute to global Warming. C. Trees provide the key to reversing the global warming that has already taken Place. D. Trees face being killed by increasing temperatures due to global warming. Kristal was writing 5,060 in scientific notation. She said that it was 5.6 x 10^3 do you agree or disagree A car dealership increased the price of a certain car by 11%. The original price was $45,400. Help please............................................................. What is the temperature of Spica? Naomi is still not sure how many boxes of each type of candy to order. Her dad explains that he needs to do a little more mathematics before she can determine the best candy order. He creates a table to help her determine the solution.He asks her to calculate how much money the band would make if she ordered 500 boxes ofeach type of candy. He also asks her to calculate the profit on an order of 300 boxes of milkchocolate and 500 boxes of dark chocolate. Determine both answers and show your work. Can someone help me?? HELP QUICK ILL MARK BRAINLIEST!! What was the cause of most of the small battles between the French and the English in America?disagreements over the fur tradeland disputeswar between the French and the English in Europetrouble started by the Native Americans models of competitive markets are helpful in understanding real-world markets. to help you to better understand competitive markets, it is important to understand economic efficiency. sort the descriptions below into whether they are characteristics of productive or allocative efficiency. | 4x-13 | = 5x+4Solve Please help me with this U.S history Question