Answer:
length, width, and height are (b+2), (b-2), (b+3)
Step-by-step explanation:
Doing what the problem statement tells you to do, you get ...
(b^3 +3b^2) -(4b +12)
= b^2(b +3) -4(b +3) . . . factor each pair of terms
= (b^2 -4)(b +3) . . . write as a product
= (b -2)(b +2)(b +3) . . . use the factoring of the difference of squares
The three factors are (b-2) , (b+2) , and (b+3). We have no clue as to how to associate those with length, width, and height. We just know these are the dimensions of the box.
Answer:
7
Step-by-step explanation:
Answer: v=-18/5
Step-by-step explanation:
Assuming you want to solve for v, we need to use our algebraic properties.
[subtract both sides by 2]
[multiply both sides by 3]
Now, we know that v=-18/5.
1. Solve for x in 2x + 5 = 12
2x + 5 = 12 Subtract 5 from both sides.
2x = 7 Divide 2 from both sides.
x = 3.5
2. Substitute 3.5 in for x in 6x + 20
6(3.5) + 20
21 + 20
41
Your answer is 41.
9514 1404 393
Answer:
smaller triangle area = 73 1/3 ft^2
Step-by-step explanation:
The smaller triangle has a ratio of linear dimensions of 10/15 = 2/3 of that of the larger triangle. The area ratio is the square of this, so the area of the smaller triangle is ...
(165 ft^2)(2/3)^2 = (165 ft^2)(4/9) = 220/3 ft^2 = 73 1/3 ft^2
