Answer:
42.25 feet
Step-by-step explanation:
The height function is a parabola. The maximum value of a negative parabola is at the vertex, which can be found with:
x = -b/2a
where a and b are the coefficients in y = ax² + bx + c.
Here, we have y = -16t² + 52t. So a = -16 and b = 52. The vertex is at:
t = -52 / (2×-16)
t = 13/8
Evaluating the function:
h(13/8) = -16(13/8)² + 52(13/8)
h(13/8) = -169/4 + 169/2
h(13/8) = 169/4
h(13/8) = 42.25
Answer:
None
Step-by-step explanation:
There is no integer equivalent to 91/2, integers can't have a decimal.
However, I assume you would like me to answer 9.5, even though it isn't an integer.
Answer:
Options (2), (4) and (5)
Step-by-step explanation:
Option (1).
Planes S contains points B and F.
False.
(Point B lies on plane S and point F lies on plane R)
Option (2).
The line containing points A and B lie on the plane T.
True.
(points A and B lie on plane T)
Option (3).
Line v intersects lines x and y at the same plane.
False.
Option (4).
Line z intersects plane S at point C.
True.
Option (5).
Planes R and T intersect at line y.
True.