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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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Find the eqation of the line passing through the points(3,3) and (4,5)
Nikitich [7]

Answer:

The Answer is: y = 2x - 3

Step-by-step explanation:

Given points: (3, 3) and (4, 5)

Find the slope, m:

m = y - y1/(x - x1)

m = 3 - 5/(3 - 4)

m = -2/-1 = 2

Use the Point Slope form of the equation:

y - y1 = m(x - x1)

y - 5 = 2(x - 4)

y - 5 = 2x - 8

y = 2x - 8 + 5

y = 2x - 3

Proof:

f(3) = 2(3) - 3

= 6 - 3 = 3, giving (3, 3)

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3 years ago
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1  3/14

Step-by-step explanation:

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3 years ago
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Hi guys can you guys answer this pls and explain plss​
mario62 [17]

Answer:

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4 0
2 years ago
What is the order pair for y=1/3x
IRISSAK [1]

Answer:

Step-by-step explanation:

y is always (1/3) of x.

Thus, if x = 0, y = 0; if x = 1, y = (1/3)(1) = 1/3, and so on.  The corresponding ordered pairs are (0, 0), (1, 1/3), (-2, -2/3)

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2 years ago
For which value of a does Limit of g(x) as x approaches alpha not exist?​
Hunter-Best [27]

The value of a where the Limit of g(x) as x approaches alpha not exist are -1 and 1

<h3>Limit of a function</h3>

The limit of a function is the limit of a function as x tends to a value.

From the given graph, you can see that the function g(x) goes large at the point where the arrows orange and purple point down from the x-coordinates -1 and 1.

Hence the value of a where the Limit of g(x) as x approaches alpha not exist are -1 and 1

Learn more on limit of a function here: brainly.com/question/23935467

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7 0
2 years ago
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