Answer:
Step-by-step explanation:
Area of the Velocity-Time graph gives the displacement of the motion .
Answer:
Step-by-step explanation:
A quadratic equation has one root if the discriminant is 0.
That is we need 
for this particular question.
Compare the following to find 
:
The variable 
is representative of the variable 
here.
Plug in into :
Subtract 4 on both sides:
Divide both sides by 16:
Reduce:
The flight is in the shape of a parabola with a vertex 5 feet above the water and 1/2 * 33 = 16.5 feet horizontally from the point of leaving the water
y = a(x - h)^2 + k
where (h,k) is the vertex of the parabola and here it is (5 , 16.5), so we have the function:-
y = a(x - 16.5)^2 + 5
when x = 0 y = 0 so
0 = a(-16.5)^2 + 5
which gives a = -0.018365
So our function for the flight path is
y = -0.018365(x - 16.5)^2 + 5 Answer
45 Cards
12 friends invited; 1/2 came 12 x 1/2=6
Let x stand for the number of cards each friend received
Armando kept 3
6x = 45-3
6x = 42
__ __
6 6
x = 7
Each friend received 7 cards
