Cecily is on her roof and want to throw a ball straight up in the air and figure out how long it will take to reach the ground. The function that models an object falling to the ground is f(x)=-32x2+vx+d. In this function, x represents time, v represents the initial (vertical) velocity, and d represents the initial distance above the ground in feet. If v is positive, then the initial velocity is upward. If v is negative, the initial velocity is downward. [10 points] Write the function to model the height of the ball if Cecily releases the ball from 40 feet above the ground at a velocity of 64 feet per second. Then, graph the function noting the key points of the graph. Make sure to scale the axes appropriately.

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step-by-step explanation:

see attached

step-by-step explanation:

given the function as;

write the equation replacing f(x) with y

form   and fill a table containing values of y with corresponding values of x

you can take a range for   values of x as -3≤x≤3

solving for x=-3

for x=-2

repeat the same procedure to get the values of y for the remaining ,x=-1 to x=3

plot the values of y against values   of x and obtain the following graph

step-by-step explanation:

consider the parallelogram shown in the attached image.

in the parallelogram hijk, the length of hk is given as,

from the properties of parallelogram we know that the opposite sides of a parallelogram are parallel to each other and are equal in measure.

therefore, the length of the side ij must be equal to the length of the side hk and that is .

hence, the expression for the length of ij confirms that hijk is a parallelogram.

the answer is $23.63