The expression is
5x + 5y
We are to prove that it is an odd integer when x and y are integers of opposite parity
First, we can assume
x = 2a (even)
y = 2b + 1(odd)
subsituting
10(a + b) + 5
5 [(2(a + b) + 1]
The term
2(a + b) + 1 is odd and the result of an odd number multiplied by an odd number is odd
2(x+y)=24
2x=y
Use substitution. If y=2x, than we can substitute 2x for it in the other equation, because x and y equal the same things in both equations.
So using that we get 2(x+2x)=24
SIMPLIFY
2(3x)=24
DISTRIBUTE
6x=24.
DIVIDE: x=4.
If we substitute x into the original equations we get x=4 and y=8. Those are your two numbers.
Have a nice day! :)
Answer:
I believe the answer would be A
Step-by-step explanation:
Hope this helps!
By definition of the binomial coefficient,

so we have

as required.
To solve this we are going to use the formula for the area of a circle:

where

is the area of the circle

is the diameter of the circle
We know from our problem that the area of our circle is 10 inches long, so

. Lets replace that value in our formula to find

:


We can conclude that the correct answer is: 78.54 square inches, or in centimeters: 506.7 square cm.