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
brilliants [131]
3 years ago
7

at%20%5C%3A%20%20%7Bx%7D%5E%7B3%7D%20%20%2B%20%20%7By%7D%5E%7B3%20%7D%20%20%2B%20%20%7Bz%7D%5E%7B3%7D%20%20%3D%203xyz" id="TexFormula1" title="if \: x + y + z = 0 \: then \: show \: that \: {x}^{3} + {y}^{3 } + {z}^{3} = 3xyz" alt="if \: x + y + z = 0 \: then \: show \: that \: {x}^{3} + {y}^{3 } + {z}^{3} = 3xyz" align="absmiddle" class="latex-formula">
​
Mathematics
1 answer:
elena-s [515]3 years ago
6 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
What is two solutions for x>6
Daniel [21]

7>6

8>6

9>6

etc.

Possible values for x:

x=7

x=8

x=9

etc.

4 0
3 years ago
F(x) = x2 – 2x - 8
maw [93]

Answer:

The y-intercept is the point (0,-8)

see the attached figure

Step-by-step explanation:

we have

f(x)=x^{2}-2x-8

we know that

The y-intercept is the value of the function f(x) when the value of x is equal to zero

so

For x=0

f(x)=0^{2}-2(0)-8\\f(x)=-8

therefore

The y-intercept is the point (0,-8)

see the attached figure to better understand the problem

5 0
4 years ago
Half a number is at least 2 units from 20. write the sentence as an absolute value inequality
Anuta_ua [19.1K]

Answer:

|1/2x - 20| ≥ 2

Step-by-step explanation:

The number is half of two and at least two units away.

8 0
3 years ago
Read 2 more answers
Can someone answer this ?
lutik1710 [3]

Answer:

On Saturday, a local hamburger shop sold a combined total of 312 hamburgers and cheeseburgers. The number of cheeseburgers sold was three times the number of hamburgers sold, How many hamburgers were sold on Saturday?

Step-by-step explanation:

x is the hamburgers

x times 3 is the cheeseburgers

answer x=78

check work 78 x 3 =234

78 + 234 = 312

8 0
3 years ago
Write an expression that is the product of TWO factors and is EQUIVALENT to<br>-2x - 10.​
katrin [286]

Answer:

-2(x+5) is equivalent to -2x-10

7 0
3 years ago
Other questions:
  • Mr. And Mrs. Storey drove 3,200 miles in all during their vacation. Mr Storey drove 3 times as many miles as Mrs. Storey. Howany
    14·1 answer
  • Really easy question I’m<br> Just really tired
    9·1 answer
  • What is 5/8+2/7 in a fraction
    12·2 answers
  • If X is a rational number and Y is the opposite of X, why do X and Y have the same absolute value
    6·1 answer
  • Help multiple choice
    6·1 answer
  • Please help ASAP
    13·1 answer
  • In the figure below, mROP = 125°.
    12·1 answer
  • What is the different in the measures of angle WVX and angle WXV?
    15·1 answer
  • An animal breathe approximately 19 times per minute about how many seconds would it take to breathe 1 million times
    8·1 answer
  • Please help me on this thanks! will giv brain liest if right.
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!