<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>
Ok let us assume x= the width of the table top
the length is 4 times the width meaning we are multiplying 4 and the width
which is x
length = 4x
your first equation would be the following:
4x+4x+x+x= whatever the perimeter is
if you drew a rectangle it would help you understand the above.
this represents the perimeter of the tabletop because we know the width is x. if you drew the rectangle there wouldn't be 1 width. opposite to the width is another line. same with the length. the length is 4x again there are 2 because in a rectangle there are 2 sets of parallel lines. that is why your equation would be 4x+4x+x+x= whatever the perimeter is- you could simplify this equation and write:
10x= whatever the perimeter is
x basically means 1x but in math we generally don't write that because we tend to write most things in simplest for.
hope this helps :)
So First of all we need to know how to find the area of a circle.
Assuming that the apple pie is the shape of a circle
The formula for area is

Well we know that the radius = 3.14
And we know that
= 3.14 as well.
All we have to do is multiply..
3.14 x
= 30.95
So the area of the pie is 30.95 in
Good Luck! :)
Answer:
C is correct
Step-by-step explanation: