Factor the following:
3 n^4 + 21 n^3 + 27 n^2
Factor 3 n^2 out of 3 n^4 + 21 n^3 + 27 n^2:
Answer: 3 n^2 (n^2 + 7 n + 9)
Add 5ft 7in and 4ft 8in together
5ft 7in + 4ft 8in = 10ft 3in
We need to find a common denominator(bottom number of fraction)
5/3 = 25/15 (multiply both top and bottom by 5)
1/5 = 3/15 (multiply both top and bottom by 3)
Now since the denominator is the same we can add to get 25/15 + 3/15 = 28/15
The vertex is (8,7)
the minimum value is 7
the vertex form is y=(x-8)^2 +7
the minimum value of y=7
i hope this helps!
The answer is 134 ft^2
the area of the smaller rectangle:

the area of the other rectangle:

the area of the whole shape:

good luck