Answer:
irrational
Step-by-step explanation:
irrational because there will still be a 2 under the root when you simplify to 2√2
False, because when you connect them the don't even look like a line.
Hope this helps! ;)
Answer:
48,24,30
Step-by-step explanation:
Let, the length of second side be x
A/c to question,
first side (a) = 2x
second side (b) = x
third side (c) = x + 6
Perimeter of ∆ (p) = 102
And,
Perimeter of ∆ = a + b + c
102 = 2x + x + x + 6
102 - 6 = 4x
96 = 4x
x = 96/4
x = 24
Now,
first side = 2*24 = 48
second side = 24
third side = 24 + 6 = 30

You have a rational expression whose numerator's degree is smaller than the denominator's. This tells you you should consider a partial fraction decomposition. We want to rewrite the integrand in the form


You can use the "cover-up" method here to easily solve for
. It involves fixing a value of
to make 2 of the 3 terms on the right side disappear and leaving a simple algebraic equation to solve for the remaining one.
- If
, then 
- If
, then 
- If
, then 
So the integral we want to compute is the same as

and each integral here is trivial. We end up with

which can be condensed as
