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: 2y124√y12
How to: <u>Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.</u>
Have a great day and stay safe !
Answer:
(27+6)÷3
Step-by-step explanation:
(33) ÷ 3
11
Brandon is 11 years old.
Answer:
Equation C. 5.1 + 2y + 1.2 = -2 + 2y + 8.3
Step-by-step explanation:
Equation C is the only equation in the list in which the terms that contain the unknown "y" on each side of the equal sign are identical, therefore when solving for this unknown and trying to group them on one side, they go away, leaving us with a relationship among numerical values that is always true:
5.1 + 2y + 1.2 = -2 + 2y + 8.3
5.1 + 1.2 = -2 + 8.3
6.3 = 6.3
Then this equation is true for any value of the unknown y, and y- can adopt infinite number of values, independent of which the equation will always be a true statement (giving thus infinite number of solutions).
Answer:
Surface Area is 306
Step-by-step explanation:
I go on googlw and ask what the area is and google for sum reason only gives surface area and not area so I guess thins time it worked out!
Here's the link:
https://www.google.com/search?surl=1&rlz=1CAZGSZ_enUS814&ei=F4HUXM7LEZPZ9AOYv5nQBg&q=what+is+the+area+of+a+rectangular+prism&oq=what+is+the+area+of+a+rectangler+prism&gs_l=psy-ab.12...0.0..94365...0.0..0.0.0.......0......gws-wiz.o7r-UZ2uYlg&safe=active&ssui=on
