<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>
<span>circumference of circle = 2*pi*r
given r = 5
so circumference = 31.42
now we know 360 degree is uniformly distributed on this circumference
so x/360=10/31.42
so x= 114.65
so option C.) 114.65 is the answer</span>
Answer:
x = 5.5
Step-by-step explanation:
- 6-(2x-4)+x = 6-2x+4+x = 10-x
- 3(x-4) = 3x-12
- Based on the 1st and the 2nd steps, 10-x=3x-12 --> 10+12=3x+x --> 22 = 4x --> x =22/4 = 5.5
C) Ordering Corn dogs to sell in the concession stand at a football game.
Given the quadratic function, to get the roots we factorize:
3x²-4x-7=0
3x²+3x-7x-7=0
3x(x+1)-7(x+1)=0
(3x-7)(x+1)=0
thus the roots are
x=-1 or x=3/7
thus the sum of the roots will be:
-1+3/7
=-4/7
