A + b = d+c
<span>a - b = e - c </span>
The b and c cancel out.
<span>2a = d+e </span>
<span>a = (d+e)/2 </span>
Answer:
(3, 1)
Step-by-step explanation:
x+5y=8
-x+2y=-1
-------------
7y=7
y=7/7=1
x+5(1)=8
x+5=8
x=8-5=3
Answer: x=3, y=1.
Answer: Volume=502.7 oz
Explanation: We need to find the volume of this cylinder to answer the question.
The general formula for the volume of a cylinder is V=πr^2h
Substituting gives us V=π*8*20, then V=160π and finally V=502.6548246 oz cubed
Answer:
Professor 1 as he gave the maximum number of A's .
Answer:
is a factor of 
Step-by-step explanation:
is a factor of 
We will prove this with the help of principal of mathematical induction.
For n = 1,
is a factor
, which is true.
Let the given statement be true for n = k that is
is a factor of
.
Thus,
can be written equal to
, where y is an integer.
Now, we will prove that the given statement is true for n = k+1

Thus,
is divisible by
.
Hence, by principle of mathematical induction, the given statement is true for all natural numbers,n.