Step-by-step explanation:
d(t) = -16t² + 96t + 112
A) The quarter's initial height is at t = 0.
d(0) = -16(0)² + 96(0) + 112
d(0) = 112
The quarter is tossed from a height of 112 feet.
B) The maximum height is at the vertex of the parabola, which is at x = -b/(2a).
t = -(96) / (2 × -16)
t = 3
The quarter reaches its maximum height after 3 seconds.
C) d(3) = -16(3)² + 96(3) + 112
d(3) = 256
The quarter reaches a maximum height of 256 feet.
D) When the quarter lands in the water, d(t) = 0.
0 = -16t² + 96t + 112
0 = t² − 6t − 7
0 = (t + 1) (t − 7)
t = -1 or 7
Since t can't be negative, t = 7. So the quarter lands in the water after 7 seconds.
Answer:
As per me, the length of the hypotenuse of the triangle should be
Step-by-step explanation:
StartRoot 65 EndRoot ft
60+72=(12x5) +(12x6)=12(5+6)
60=12x5
72=12x6
Answer:3.81
Step-by-step explanation:
because you add 2% each year
Answer:
B *second one down.
Step-by-step explanation:
EF = 1/2(AB + CD)
x+5 = 1/2 (2x + 2 + 2x+4) Combine the like terms on the right.
x+5 = 1/2 (4x + 6) Remove the brackets.
x+5 = 1/2*4x + 1/2*6
x+5 = 2x + 3 Subtract x from both sides
5 = 2x-x + 3
5 = x + 3 Subtract 3 from both sides
5-3 = x
x = 2
EF = x + 5
EF = 2 + 5
EF = 7
The answer is B
