1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Darya [45]
3 years ago
7

If a+b+c=0 for a,b,c then prove a²/bc+b²/ca+c²/ab=3.

Mathematics
1 answer:
Ierofanga [76]3 years ago
5 0
According to the identity if a+b+c=0
then a3+b3+c3=3abc
a3+b3+c3/abc=3
a2*a/bc*a+b2*b/ca*b+c2*c/ab*c=3
cancel a,b,c in   all the fraction then you get
<span>a²/bc+b²/ca+c²/ab=3. 
</span>hence proved


You might be interested in
What is the length of z? (Round to the nearest tenth)
navik [9.2K]

Answer:

<em>z = 10.8</em>

Step-by-step explanation:

9^{2} + 6^{2} = c^{2}

81 + 36 = c^{2}

117 = c^{2}

c = \sqrt{117}

c = 10.8

c = z

4 0
3 years ago
5
zepelin [54]

The question is incomplete. Below you will find the missing figure.

Two friends, Andrew and Liz, are playing a game using this spinner. If the

spinner lands on region 2 or 3, Andrew wins. If it lands on region 4, Liz wins. If it lands on any other region, neither wins. Is this a fair game?

A. Yes. Each friend has a 1/4 probability of winning.

B. Yes. Each friend has a 1/6 probability of winning.

C. No. Andrew has a probability of 1/4 winning and Liz has a probability of 1/6 winning.

D. No. Andrew has a probability of 1/3 winning and Liz has a probability of 1/4 winning.

The correct option is Option A: Yes. Each friend has 1/4 probability of winning.

Probability is the possibility of an event to happen which is the ratio of no. favorable outcomes and no. of total outcomes.

P = no. of favorable outcome/ total no. of outcome

Here given in the question,

If the spinner touches region 2 or 3, Andrew wins

If the spinner touches region 4, Liz wins.

This is fair play because both have the same size of region for winning.

If we cut the circle into 8 pieces,

as region 1 is the sum of 2 sub-parts of the circle,

possibility of spinner touching region 1= 2/8= 1/4

possibility of spinner touching the small region = 1/8

So the possibility of the spinner touching the region 2or 3= 1/8+1/8= 2/8= 1/4

Hence the possibility of Andrew wins= possibility of the spinner touching region 1= 1/4

possibility of Liz wins= possibility of the spinner touching the region 2 or 3= 1/4

Therefore the correct option is Option A: Yes. Each friend has 1/4 probability of winning.

Learn more about the probability

here: brainly.com/question/24756209

#SPJ10

6 0
2 years ago
What’s the distance between (5,1)and(3,6)
laiz [17]

<u>How to Find the Distance Between Two Points</u>

Distance formula: d(P, Q) =√(x2 − x1)^2+(y2 − y1)^2

If you use this equation the answer will be 5.

4 0
4 years ago
Evaluate the expression 9-3÷1/3+1 <br>A. 9 <br>B. 3 <br>C. 1 <br>D. 19​
ikadub [295]
PEMDAS
P- none
E- none
M- none
D- (3/1/3=1)
AS- 9-1+1=9

The answer is A.
7 0
3 years ago
Specify three fractions with different denominators that have an LCD of 24
trasher [3.6K]
1/3, 1/8, 1/24
I'm pretty sure
6 0
3 years ago
Other questions:
  • If you have a new deck of shuffled cards, what is the probability you will choose a red card? (52 cards, no jokers) A) 1 13 B) 1
    8·1 answer
  • A rectangular prism and a cylinder both have a height of 8 m, and their cross-sectional areas are equal at every level parallel
    7·2 answers
  • Find the value of x. If necessary, round your answer to the nearest tenth. O is the center of the circle. The figure is not draw
    6·1 answer
  • What is the solution of n2 - 49 = 0
    10·2 answers
  • 2) How many unique triangles can be drawn with side lengths 5 cm, 10 cm, and 14 cm?
    15·1 answer
  • A baseball team wins 70% of its games.
    6·2 answers
  • 14. Which makes the number sentence true?<br> 12 - 3= 7+_
    15·1 answer
  • 3x-5y=-6<br> -9x-5y=18<br> whats the answer
    6·2 answers
  • The Foldgers Black Silk K-cup coffee pods weigh on average .28 ounces with a standard deviation of .05 ounces. Answer each of th
    9·1 answer
  • Are the triangles similar? Why?
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!