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The axis of symmetry is 2
Answer:
<em>Width</em>: 3y²
<em>Length</em>: 4 + 7y³
Step-by-step explanation:
The area of the rectangle is the length multiplied by the width. For the area given: 12y² + 21y⁵
12y² = 3y²*4
21y⁵ = 3y²*7y³
So, the greatest common monomial factor is 3y², which is the width.
The area is 3y²*(4 + 7y³), the first term is the width, the other must be the length: 4 + 7y³.
the smallest integer is 15
note that consecutive integers have a difference of 1 between them
let the smallest integer be n
then : n, n+ 1, n + 2, n + 3, n + 4, n + 5, n + 6
are seven consecutive integers with n + 6 being the largest, thus summing gives
7n + 21 = 6(6 + n)
7n + 21 = 36 + 6n ( distributing right side )
7n - 6n + 21 = 36 ( subtracting 6n from both sides )
n + 21 = 36 ⇒ n = 36 - 21 = 15
the smallest integer is 15