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Dafna11 [192]
3 years ago
11

If (a+b+c) = 5 and ab+bc+ac = 10. Prove that a3+b3+c3 -3abc = -25​

Mathematics
1 answer:
maks197457 [2]3 years ago
3 0

Answer:

see explanation

Step-by-step explanation:

Using the identity

(a + b + c)³ = a³ + b³ + c³ + 3 [ (a + b + c)(ab + bc + ac) - abc ], then

5³ = a³ + b³ + c³ + 3(5 × 10) - 3abc, that is

125 = a³ + b³ + c³ + 150 - 3abc, hence

a³ + b³ + c³ - 3abc = 125 - 150 = - 25

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Y=f(x)=(1/9)^x find f(x) when x=(1/2)
tatyana61 [14]

Answer:

\frac{1}{3}

Step-by-step explanation:

In this question, you would solve the for f(x) by plugging in the given value to x.

Solve:

\frac{1}{9}^\frac{1}{2}

Distribute the exponent to the numerator and denominator.

\frac{1^\frac{1}{2}}{9^\frac{1}{2}}

Simplify.

\\\\\frac{1^\frac{1}{2}}{9^\frac{1}{2}}\\\\9^\frac{1}{2}=3\\\\\frac{1^\frac{1}{2}}{3}}\\\\

Use the 1^a = 1\,\text{} rule for the numerator:

\frac{1}{3}

Your final answer would be \frac{1}{3}

8 0
3 years ago
Divide 7/15 by 3/5 = <br> A. 7/9<br> B. 21/75<br> C. 75/21<br> D. 7/25
luda_lava [24]

Answer:

a

Step-by-step explanation:

7/15. /3/5=7/15*5/3 =7/9

5 0
2 years ago
What are the six trigonometric functions of theta = 2pi ?
mafiozo [28]

sinx=sin(π3−π)=−sin(π3)=−12.
cosx=cos(π3−π)=−cos(π3)=−√32.
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cotx=1√3=√33.
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cscx=1sin=−2.
3 0
3 years ago
Add the picture explaining how to do it !
Galina-37 [17]
This is the last one right?

4 0
3 years ago
Correct answer will get brainliest
Elina [12.6K]
The answer is 37.68 units^2

8 0
2 years ago
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