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n200080 [17]
2 years ago
6

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

Mathematics
1 answer:
tankabanditka [31]2 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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The table shows the maximum and minimum depths of two submarines. Find the range of depths for each submarine. Then determine wh
JulsSmile [24]

Answer:

Range A = 386ft

Range B = 427ft

B has the larger range.

Explanation:

To find the range, find the difference between the minimum and maximum depths for each submarine. Remember that your answer will be positive.

Sub A:

-146ft - (-532ft) = 386 ft

Sub B:

-194ft - (-621ft) = 427 ft

Submarine B has a larger range.

7 0
3 years ago
Please help me it says What kind of triangle makes the Pythagorean theorem true?what angle does it need to have?
Levart [38]
<h3>Answer:</h3>

right triangle

<h3>Step-by-step explanation:</h3>

The sides of a right triangle in a simple way, so that if the lengths of any two sides are known the length of the third side can be found.

hope it helps.

8 0
2 years ago
A hypothetical population consists of eight individuals ages 13, 14, 17, 20, 21, 22, 24, &amp; 30 years.
Alika [10]

Complete Question

A hypothetical population consists of eight individuals ages 13 14 17 20 21 22 24 30 years.  

A: what is the probability that a person in this population is a teenager?  

B: what is the probability of selecting a participant who is at least 20 years old?

We have that  probability that a person in this population is a teenager and probability of selecting a participant who is at least 20 years old is

From the question we are told

A hypothetical population consists of eight individuals ages 13, 14, 17, 20, 21, 22, 24, & 30 years.

  • P(T)=0.38
  • P(T')=0.63

a)

Generally the equation for the  probability that a person in this population is a teenager   is mathematically given as

P(T)=\frac{no of teens}{n}\\\\P(T)=\frac{3}{8}

P(T)=0.38

b)

Generally the equation for the probability of selecting a participant who is at least 20 years old  is mathematically given as

P(T)=\frac{ participants\ who\ is\ at\ least\ 20\ years old}{n}\\\\P(T)=\frac{5}{8}

P(T')=0.63

For more information on this visit

brainly.com/question/11234923?referrer=searchResults

6 0
2 years ago
Please tell me if I'm right or not
Pepsi [2]
It’s actually 25.2% of boys prefer to play inside
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3 years ago
Hellllp pleaseeeee !
Ann [662]
The answer is false. I hope this helps love! :)
3 0
3 years ago
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