<em>Given - a+b+c = 0</em>
<em>To prove that- </em>
<em>a²/bc + b²/ac + c²/ab = 3</em>
<em>Now we know that</em>
<em>when x+y+z = 0,</em>
<em>then x³+y³+z³ = 3xyz</em>
<em>that means</em>
<em> (x³+y³+z³)/xyz = 3 ---- eq 1)</em>
<em>Lets solve for LHS</em>
<em>LHS = a²/bc + b²/ac + c²/ab</em>
<em>we can write it as LHS = a³/abc + b³/abc + c</em><em>³</em><em>/abc</em>
<em>by multiplying missing denominators,</em>
<em>now take common abc from denominator and you'll get,</em>
<em>LHS = (a³+b³+c³)/abc --- eq (2)</em>
<em>Comparing one and two we can say that</em>
<em>(a³+b³+c³)/abc = 3</em>
<em>Hence proved,</em>
<em>a²/bc + b²/ac + c²/ab = 3</em>
Answer:
z is less than 3/4
Step-by-step explanation:
If I’m not wrong I think it’s x+1
Answer:
Step-by-step explanation:
Given that x and y are proportional and the equation relating them is
y = rx ← r is the constant of proportionality
To find r use any ordered pair from the table
Using x = 9, y = 4.5 , then
4.5 = 9r ( divide both sides by 9 )
= r , that is
r =
The gallons of oil in the tank is 1000
A 6500 gallon storage tank is 2/13 full
The number of oil in the tank can be calculated by multiplying the amount of gallons in the tank which is 6500 by the measurement of the tank which is 2/13
= 2/13 × 6500
= 13,000/13
= 1,000
Hence 1000 gallons of oil are in the tank
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