H=-16t^2+56t+1, the airplane is shot up from a platform 1 foot above the ground, so 1= - 16t^2+56t+1, we solve this equation
(- 16t+56)t=0, (- 16t+56)=0 or t=o, - 16t+56=0, implies t =3.5s
so the answer is C)3.5 seconds
Answer:
Options (A) and (C)
Step-by-step explanation:
A). The given inequality is,
x + y ≤ 2
Solution area of the inequality is the shaded area below the line.
Since (0, 0) lies in the shaded region, ordered pair will be a solution of this inequality.
B). For the inequality y ≤ 
Since, (0, 0) doesn't lie in the shaded region of this inequality, ordered pair will not be a solution of the inequality.
C). y > 
In this graph (0, 0) lies in the shaded region of the inequality therefore, it will be a solution of the given inequality.
Therefore, Options (A) and (C) are the correct options.
Answer:
680
Step-by-step explanation:
Ratio of red to white 4 : 7
Number of white = 280
White + red buttons = x
7x / 11 = 280
7x = 280 * 11
7x = 3080
x = 3080 / 7
x = 440
Number of red buttons 440 - 280 = 160
Number of red bottons ;
Blue + red buttons = x
3 : 2 ; blue : red
3 + 2 = 5 ;
2x / 5 = 160
2x = 160 * 5
2x = 800
x = 800 / 2
x = 400
Number of Blue buttons :
400 - 160 = 240
Total :
White + red + blue
280 + 160 + 240 = 680 buttons
Answer:
2ab(a + 3b)
Step-by-step explanation:
2a²b + 6ab²
Factor out 2ab
2ab(a + 3b)
Answer:
12 units
Step-by-step explanation:
Given that :
R(-3,2)
S(2,2)
T(2,-5).
The total length ;
Distance between two points : √[(x2 - x1)² + (y2 - y1)²]
Distance between R and S :
R = (-3,2)
S(2,2)
√[((2 - (-3))^2 + (2 - 2)^2]
Sqrt(5^2 + 0^2)
D1 = 5 units
Distance between S and T:
S(2,2)
T(2,-5).
D2 = √[(2 - 2)^2 + (-5 - 2)^2]
D2 = sqrt(0^2 + (-7)^2)
D2 = 7 units
Hence, total length = D1 + D2 = (5 + 7) = 12 units
