Kyle drops a ball from a height of 15 feet above the ground. The function h = −16t^2 + 15 gives the height h of the ball (in feet) after t seconds. Graph the function. Then determine the approximate time the ball hits the ground.

The ball will hit the ground at 0.968 seconds.

Step-by-step explanation:

Please refer to the attached graph in the answer area.

The given equation of height according to input variable time 't' is:

h is in feet

t is in seconds

Both the values 't' and 'h' will be positive. (Time and height can never be negative)

To determine the time, at which the ball hits the ground, i.e. the height becomes 0.

Putting value of h = 0 in equation (1)

Hence, the time at which the ball hits the ground is 0.968 seconds.

the central idea is that:

individuals should refuse to cooperate with institutions they believe unjust.

thoreau felt  that governments were more often agents of corruption than justice, even democracies, and that just because the majority feels a certain way does not make it just or correct in absolute terms. he uses the fact that slavery exists in our democracy to support this idea.

he goes on to say that, as a result, people should live true to their own internal laws regarding right and wrong, as a product of reflection and a moral life, rather than following every law that society imposes. 

step-by-step explanation:

-3

step-by-step explanation:

a drawing really does here:

so i draw the horizontal line y=2 and the vertical line x=-2 at this intersection i put b (this is where my right angle is going to be).   so point b is at (-2,2).   point a is 5 units long and is also on y=2 so this point has to be (3,2) or (-7,2) -doesn't matter i will go with (3,2).

now we know c is at (-2,y) we don't know the y yet bet we know that c is on x=-2.

we have the area of the triangle is .5bh=12.5

we know the base length is 5 (ab)

we have the height is (2-y) if you look at your

plug in

.5(5)(2-y)=12.5

solve for y to get the y-coordinate for c

2.5(2-y)=12.5

divide both sides by 2.5 giving:

2-y=5

now subtract 2 on both sides

-y=3

y=-3