Part A: 6m + 12 + 42m, which combines to form 48m + 12. Another expression is 12 + 48m, because using the commutative property of addition, it is equivalent.
Part B: As I stated earlier, using the commutative property of addition, your expression 12 + 48m is equivalent to 48m + 12.
Part C: If you substitute 2 for m, you will get 108. If they are talking about the main equation, then if you substitute 2 for m, you will have 6(2 + 2 + 14) = 108.
When you expand the binomial, you isolate each of the parts.
So, (x-y)^4 would turn into...
x^4 - y^4
The powers stay the same because (outside the parenthesis) you multiply them with whatever is inside the parenthesis. In this case, would be 1. All variables and numbers without a listed power have a power of one. Multiply 4*1 to get 4.
Answer:
V = 540 inches ^3
Step-by-step explanation:
The area of the base is found be finding the other leg
a^2 +b^2 = c^2
12^2+b^2 = 15^2
144 +b^2 = 225
b^2 = 225-144
b^2=81
Take the square root of each side
b = 9
We can find the area of the triangle
B = 1/2 (9*12)
B =54
The Volume is given by
V = Bh
V = 54*10
V = 540 inches ^3