Step-by-step explanation:
For a quadratic equation y = ax² + bx + c, the vertex (the maximum or minimum point) is at x = -b/(2a).
1) y = -0.5t² + 2t + 38
The maximum is at:
t = -2 / (2 × -0.5)
t = 2
The maximum height is:
y = -0.5(2)² + 2(2) + 38
y = 40
The coordinates of the vertex are (2, 40). That means the missile reaches a maximum height of 40 km after 2 minutes.
2) y = -4.9t² + 12t + 1.6
The maximum is at:
t = -12 / (2 × -4.9)
t = 1.22
The maximum height is:
y = -4.9(1.22)² + 12(1.22) + 1.6
y = 8.95
The coordinates of the vertex are (1.22, 8.95). That means the missile reaches a maximum height of 8.95 m after 1.22 seconds.
3) y = -0.04x² + 0.88x
The maximum is at:
x = -0.88 / (2 × -0.04)
x = 11
The maximum height is:
y = -0.04(11)² + 0.88(11)
y = 4.84
The maximum height of the tunnel is 4.84 meters.
The maximum width is when y = 0.
0 = -0.04x² + 0.88x
0 = -0.04x (x − 22)
x = 22
The maximum width is 22 feet.
Answer:
The surface = pi*10cm2
Step-by-step explanation:
The area of any rectangle is Base * Height,
We know that the square originally has 10cm High, when is rolled to form a cylinder, it's new shape has a bottom side that is equals to a circle.
The length of a circle is 2*pi*Radio= pi*Diameter.
Since the square has the same length in each side, we know that pi*Diameter= 10cm*pi
The surface (area) of the cylinder is= Base * Height= 10cm*10cm*pi
and 
. So we have a remainder of
and 
. Subtracting this from the previous remainder gives a new remainder
and 
. Subtracting this from the previous remainder gives a new one of
and we're done since 2 does not divide 
. So we have
Answer: ALL OF THE ABOVE
Step-by-step explanation:
a translation doesn't change any of the above, they all remain the same. it's a trick question :P
3y^2 and -3/4y^2
5x and 2/3x
12x^2
