Rewriting the question, the given lengths that were cut from the board were 30 3/4 inches, 12 1/4 inches, and 16 1/4 inches. To obtain the remaining length of the board, all of the measurements cut are to be added and subtracted from 72 inches. This is shown below:
30 3/4 + 12 1/4 + 16 1/4 = 237/4 = 59.25 inches.
Remaining length of board = 72 - 59.25 = 12.75 inches.
Therefore, there will be 12.75 inches remaining of the board.
Answer:
4x² -29x +51
Step-by-step explanation:
Put x-3 where x is in the original function definition, then "simplify". I think you'll find it convenient to rewrite the original function definition first.
... g(x) = 4x² -5x = x(4x -5)
Substituting, we have
... g(x-3) = (x -3)(4(x -3) -5)
... = (x -3)(4x -17) . . . . . simplify right factor
... = 4x² -12x -17x +51
... g(x -3) = 4x² -29x +51
Answer:
4 driveaways
Step-by-step explanation:
90 - 30 = 60
60 ÷ 15 = 4
Answer:
The area of the shape is 89m²
Step-by-step explanation:
You need to subtract the area of the empty triangle from the area of the rectangle.
The rectangle's area is 13m × 8m = 104m²
The triangle's area is (6m × (13 - 8)m) / 2 = (6 × 5) / 2 m² = 15m²
Subtract the triangle's area from the rectangle:
104m² - 15m²
= 89m²
