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2 years ago

All lines are straight or a triangle has four sides

Mathematics

1 answer:

rosijanka [135]2 years ago

3 0

Answer:all lines are straight

Step-by-step explanation:

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Find the value of x³+ y³ + z³ – 3xyz if x² + y² + z² = 83 and x + y + z = 15

raketka [301]

identity used is

x³ + y³+ z³– 3xyz = (x + y + z) (x² + y² + z² – xy – yz – zx).

then use

(x+y+z)² = x²+y²+z²+2(xy+yz+xz)

225= 83 + 2(xy+yz+xz)

xy+yz+xz = (225-83)/2

xy+yz+xz= 142/2

xy+yz+xz= 71

now use identity

x³ + y³+ z³– 3xyz = (x + y + z) (x² + y² + z² – xy – yz – zx).

now

x³ + y³+ z³– 3xyz = 15 (83 – xy – yz – zx).

= 15[83 - (71)]

= 15×12

=180

4 0

3 years ago

What is 6 4/9 as an improper fraction

Katarina [22]

Answer: 58/9

Step-by-step explanation:

Turn 6 into an improper fraction.

6x9 = 54

54/9 + 4/9 = 58/9

4 0

3 years ago

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Who do you think is the imposter

kompoz [17]

Answer:

red kinda sus

Step-by-step explanation:

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3 years ago

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Can some one help me with this

m_a_m_a [10]

The answer is 20 because if there is four options that you can spin on and he has spinned 80 times 8÷4 is 20

5 0

3 years ago

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If (x+2) Is a factor of x^3-6x^2+kx+10<br> k=?

Arlecino [84]

The value of k is -11

Further explanation:

Any number being a factor states that the value of expression will be equal to zero at the factor.

Given

$x^3-6x^2+kx+10$

and

x+2 is a factor

x+2 = 0

x=-2

If x=-2 is a factor of given expression then the expression will be zero at x=-2

So.

$(-2)^3-6(-2)^2+k(-2)+10 = 0\\-8-6(4)-2k+10 = 0\\-8-24-2k+10 = 0\\-22-2k=0\\-2k=22\\k = -11$

The value of k is -11

Keywords: Synthetic division, Factorization

Learn more about synthetic division at:

#LearnwithBrainly

7 0

3 years ago