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:
Step-by-step explanation:
650 - 50 one off fee = 600
600÷150=4 hours
It’s supposed to be (5,9) both numbers positive
The Pythagorean Theorem is a^2 +b^2 = c^2, where a and b are the sides and c is the hypotenuse ( angled line).
3.
a^2 + 6^2 = 18^2
a^2 + 36 = 324
a^2 = 324 - 36
a^2 = 288
a =√288
a = 12√2
4.
a^2 + 3^2 = 9^2
a^2 + 9 = 81
a^2 = 81-9
a^2 = 72
a = √72
a = 6√2
Answer:
10.5
Step-by-step explanation:
X/-3.5=30-33=-3
X= -3*3.5= 10.5
