Step-by-step explanation:
The answers are proved by replacing x with 3 and 6 respectively.
I think the answer would be 90 students were taken on the trip. I may be wrong, so wait for more answers to come in!
Answer:
(1 - 4x)³
Step-by-step explanation:
The first 2 terms are a difference of cubes and factor in general as
a³ - b³ = (a - b)(a² + ab + b²), thus
1 - 64x³
= 1³ - (4x)³
= (1 - 4x)(1 + 4x + 16x²)
Thus
1 - 64x³ + 48x² - 12x ← factor out 12x from each of the 2 terms
= (1 - 4x)(1 + 4x + 16x²) + 12x(4x - 1) ← factor out - 1 from (4x - 1)
= (1 - 4x)(1 + 4x + 16x²) - 12x(1 - 4x) ← factor out (1 - 4x) from the terms
= (1 - 4x)(1 + 4x + 16x² - 12x)
= (1 - 4x)(1 - 8x + 16x²) ← perfect square
= (1 - 4x)(1 - 4x)²
= (1 - 4x)³ ← in factored form
Answer:
The height of the roof is 534.8 feet.
Step-by-step explanation:
Let h be the height of the roof.
We know the formula

Since, the stone is dropped from the edge of the roof hence, the initial velocity should be zero. Thus, u = 0

Now, we have
v = -185 feet per second
g = 32 feet per square second
On substituting these values, we get

The height of the roof is 534.8 feet.
Answer:
y is 10 degrees the pink one