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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.....

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Line JK passes through points J(–3, 11) and K(1, –3). What is the equation of line JK in standard form?
nikitadnepr [17]
You can start with the form
  ∆y(x -x1) -∆x(y -y1) = 0
Here, we have
  ∆y = 11-(-3) = 14
  ∆x = -3-1 = -4
and we can choose (x1, y1) = (1, -3). This gives
  14(x -1) -(-4)(y -(-3)) = 0
  14x +4y -2 = 0
All these terms have a common factor of 2 that we can remove. Adding 1 to the result puts it in standard form:

  7x +2y = 1

6 0
3 years ago
Write a ratio for each situation 310 beats per minute
MakcuM [25]

The obvious one is (310 beats)/(1 minute).

4 0
3 years ago
Answer fast plzzzzzzzzzzz
stealth61 [152]

Answer:

3/25

Step-by-step explanation:

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5 0
4 years ago
Help me,,,,,,,,,thanks.......
Allisa [31]

Answer:

Your answer is D. 4/5 this is because of you had a whole pizza, and split it into five pieces, and somone takes 2 slices, there will be 3/5 of that pizza left, if they only took one, there would be 4/5, which is more pizza than a 3/5 of a pizza

Step-by-step explanation:

3 0
3 years ago
<img src="https://tex.z-dn.net/?f=16x%20-%20%288x%20%20%2B%206%29%20%3D90" id="TexFormula1" title="16x - (8x + 6) =90" alt="16x
Lina20 [59]

Answer:

x=12

Step-by-step explanation:

16x - (8x  + 6) =90

The first step is to distribute the - sign

16x -8x -6 =90

Now we combine the like terms

8x-6 = 90

Add 6 to each side

8x-6+6 = 90+6

8x = 96

Divide each side by 8

8x/8 = 96/8

x =12

8 0
3 years ago
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