No, 5(x-1) expands out to make 5x-5. So 5x-1 and 5x-5 aren’t equivalent.
Answer:
1) difference of squares, then its factors are (x+4)(x+2)
2) 3 (x+4)/2 (x-4)(x+4)
3/2 (x-4)
3) 3x+11/5x-9
Answer:
4 full buckets
Step-by-step explanation:
there are 4 quarts in a gallon, but it only holds 3. 12 divided by 3 is 4.
Hope it helped!
Answer:
927 cubic inches
Step-by-step explanation:
The area of the octagonal base is ...
A = (1/2)Pa
where P is the perimeter, and 'a' is the apothem. Using the given numbers, the base area is ...
A = (1/2)(8·4)(4.83) = 77.28 . . . square inches
The volume of the prism is given by ...
V = Bh
where B represents the area of the base, and h is the height.
V = (77.28 in^2)(12 in) = 927.36 in^3
The volume of the prism is about 927 cubic inches.