Answer:
3ⁿ
Step-by-step explanation:
The nth term is:
3ⁿ
is the length both sides already or just on one side?
because if the 16ft. is only on one side, and the sum of the both sides are 32ft, i think the width of the rectangle must be 16ft, which means 8ft from the first side and 8ft from the second side.
but if the 16ft. is the sum of both sides, which means 8ft from the first length and 8ft from the second length, then the answer for the width is 16ft, for each side of the width. 16 for the first width, and 16 for the second width.
is my explanation too complicated?? sorry hehe.
Input value= number of hours babysat, output value= how much money you get.
<span>We can safely assume that 1212 is a misprint and the number of seats in a row exceeds the number of rows by 12.
Let r = # of rows and s = # of seats in a row.
Then, the total # of seats is T = r x s = r x ( r + 12), since s is 12 more than the # of rows.
Then
r x (r + 12) = 1564
or
r**2 + 12*r - 1564 = 0, which is a quadratic equation.
The general solution of a quadratic equation is:
x = (-b +or- square-root( b**2 - 4ac))/2a
In our case, a = 1, b = +12 and c = -1564, so
x = (-12 +or- square-root( 12*12 - 4*1*(-1564) ) ) / 2*1
= (-12 +or- square-root( 144 + 6256 ) ) / 2
= (-12 +or- square-root( 6400 ) ) / 2
= (-12 +or- 80) / 2
= 34 or - 46
We ignore -46 since negative rows are not possible, and have:
rows = 34
and
seats per row = 34 + 12 = 46
as a check 34 x 46 = 1564 = total seats</span>
Answer:

Step-by-step explanation:
{2 + 2w = l
{94 = 2w + 2l
94 = 2w + 2[2 + 2w]
94 = 2w + 4 + 4w
94 = 4 + 6w
- 4 - 4
_________

[Plug this back into both equations above to get the length of 32 feet]; 
I am joyous to assist you anytime.