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.
Un pentágono es un paralelogramo cinco caras
Answer:they are the same shape but not necessarily same size they are not congruent bc that require them to be the same size which they're not unless the scale factor is
1.0
Step-by-step explanation:
400 divided by 42 = 9.523809
9514 1404 393
Answer:
-312
Step-by-step explanation:
The general term of an arithmetic sequence is ...
an = a1 +d(n -1)
Here, you have first term a1 = 31, and common difference d = 24-31 = -7. So, the 50th term is ...
a50 = 31 -7(50 -1) = 31 -7(49) = -312
The 50th term for the sequence is -312.
