1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
n200080 [17]
3 years ago
6

If \: x + y + z = 0 \: then \: show \: that \: {x}^{3} + {y}^{3 } + {z}^{3} =3xy​

Mathematics
1 answer:
tankabanditka [31]3 years ago
8 0

Answer:

Given

x+y+z=0

⟹x+y=−z

Cubing on both sides

(x+y) 3 =(−z) 3

⟹x 3 +y 3 +3x 2y+3xy 2 =−z 3

⟹x 3 +y 3 +3xy(x+y)=−z 3

⟹x 3+y 3+3xy(−z)=−z 3

⟹x 3 +y 3−3xyz=−z 3

⟹x 3 +y 3 +z 3 =3xyz

Step-by-step explanation:

Hope it is helpful.....

You might be interested in
11. Give two examples of each type of number: real, natural, integers, rational and irrational.
zaharov [31]

Answer:

real:√2, 3,-1, 1/2 etc

natural: 1,2,3,4,5,6.....(0 is not included)

integers:. .............-4,-3,-2,-1,0,1,2,3,4........ etc

rational: nos. which are in p/q form

:1/2,3/4,4/9 etc

irrational: nos. which cannot be written in p/q form

: √2,√3... etc

irrational: √2, √3, √5, √11, √21, π(Pi)

7 0
3 years ago
Triangle with a height of 25 feet and base of 12 feet. What is the area of the triangle?
Dafna1 [17]

Answer:

150 ft

Step-by-step explanation:

triangle area formula= (b*h)/2

25 time 12 is 300. divide 300 by 2 and get 150.

3 0
3 years ago
Read 2 more answers
What is the vertex of the quadratic function given in the table?
likoan [24]

Answer:

The vertex is (-3,-2)

The vertex is basically the very top or very lowest, so you will notice how values around (-3,-2) are relatively the same in the y coordinate, but -2 is the "highest/lowest" so that's how you know it's a vertex.

If you try picturing the points in your head, you will see it make a U and at the bottom of the U is the vertex.

7 0
2 years ago
Read 2 more answers
(multiple choice) How is e-mail different from other types of communication?
Dmitry_Shevchenko [17]

Answer: You can't hear the tone of voice or get clues from body language.

Step-by-step explanation:

When sending emails, the sender and the recipient communicate through a screen, thus each person is unable to see the other when conversing or hear the inflections or emphasis of voice in the message, although we can always attempt to interpret tone. Email allows you to store emails in the inbox or archive and access sent messages, but email lacks the ability to intimately understand specifics such as tone of voice or body language.

7 0
3 years ago
Read 2 more answers
Help Pre-Calc
Alex73 [517]

Answer:

B) vertical stretch

Step-by-step explanation:

Given that the cost of manufacturing x refrigerators is given by the function f(x)= 2x^2 + 6000.

Now it says that the cost doubles for the year 2011 owing to higher raw material prices. So that means cost function will change from f(x) to 2f(x).

Now we need to decide the type of transformation from f(x) to 2f(x).

Remember that when f(x) changes to a*f(x) where value of "a" is greater than 1 then it stretches the function vertically by factor of "a".

in 2f(x), we have a=2

So that means "B) vertical stretch" is the correct choice.

6 0
3 years ago
Other questions:
  • What is the simplified form of (x+7)/(x+3) + (x-4)/3 ?
    13·2 answers
  • One-third of the dairy cattle on a farm are in the barn. Three-fifths of the beef cattle are in the barn. There are 30 dairy cat
    6·1 answer
  • What’s the difference between nine and twice a number,x, is one
    7·1 answer
  • What is the answers for expanded form 72.3 7.023 0.723
    7·1 answer
  • What is the answer to this very difficult math question
    9·2 answers
  • What is the length of bc?
    14·1 answer
  • What is the GCF of 105,30 and 75 and How?
    14·2 answers
  • (Always, sometimes, never question) If two sides and a non-included angle of one triangle are congruent to two sides and a non-i
    12·1 answer
  • If f (x) = StartRoot x minus 3 EndRoot, which inequality can be used to find the domain of f(x)?
    13·1 answer
  • In earn 5 coins
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!