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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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B - 7/4= -2/3 <br> solve for b.
melisa1 [442]

b-7/4=-2/3

 +7/4  +7/4

b=13/12

---

hope it helps

6 0
3 years ago
I need to find the missing length indicated
Naddika [18.5K]

Answer:

10 units.

Step-by-step explanation:

By the Angle Bisector of a Triangle theorem:

? / 15 = 4 (10-4)

? / 15 = 4/6

? / 15 = 2/3

? = 15*2 / 3 = 10 (answer).

8 0
3 years ago
On a coordinate plane, point A is 3 and one-half units to the left and 2 and one-half units up.
goldfiish [28.3K]

<u>Answer:</u>

  • A: (Negative 3 and one-half, 2 and one-half)

<u>Solution:</u>

On a graph, left would be a negative and up would be a positive. Hence the answer is A as none of the others are using the correct numbers.

Hope this helped!

-Zac

4 0
2 years ago
Read 2 more answers
HELP FAST PLEASE I'LL MARK YOU BRAINLIEST
BlackZzzverrR [31]

Answer: y = -1/3x -5 (4th option is correct)

Step-by-step explanation:

  • The slope of a perpendicular line is opposite reciprocal --> -1/3
  • Find b.
  • -4 = -3(-1/3) + b
  • -4 = 1 +b
  • -5 = b

8 0
3 years ago
Las dos cifras de un número suman 11 . Si las cifras se invierten de orden se invierten de orden , se obtiene otro número que ex
Alik [6]

Answer:

El número es el 47

Step-by-step explanation: Con los dígitos de los siguientes números se obtiene que su suma es 11

47        4  +  7  =  11

38         3  +  8 =  11

29         2   + 9  = 11

Si se cambia el orden de los dígitos:

47       se convierte en    74        74 - 47  =  27

38                  "    "             83        83 - 38 =  45

29                  "    "             92        92 - 29 = 63

Entonces el número solicitado es el 47

5 0
3 years ago
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