A waterfall has a height of 1400 feet. A pebble is thrown upward from the top of the falls with an initial velocity of 16 feet per second. The height, h, of the pebble after t seconds is given by the equation h equals negative 16 t squared plus 16 t plus 1400
h=−16t2+16t+1400. How long after the pebble is thrown will it hit the ground?
Answer
The pebble hits the ground after 9.8675 s
Step-by-step explanation:
Given
waterfall height = 1400 feet
initial velocity = 16 feet per second
The height, h, of the pebble after t seconds is given by the equation.

The pebble hits the ground when 
---------------(1)
put
in equation (1)


Divide by -4 to simplify this equation

using the Quadratic Formula where
a = 4, b = -4, and c = -350





The discriminant 
so, there are two real roots.



Use the positive square root to get a positive time.

The pebble hits the ground after 9.8675 second
Answer:
5x
Step-by-step explanation:
add -20 to 20 =0
then your have 5x=0
the equation 5x+20-20=5x
With a little algebraic manipulation we can solve for pi...
d-c / pi
we want to get pi by itself so first we multiply both sides by pi to get it out of the denominator...
pi × (d-c) = pi / pi
pi × (d-c) = 1
Now get pi by itself by dividing both sides by d-c...
pi × (d-c) / d-c = 1 / d-c
simplify
pi × 1 = 1 / d-c
pi = 1 / d-c
Done!
Answer:
44 inches
32 inches
Step-by-step explanation:
Given that :
Depth of water level on Monday = 38 inches deep
Change in depth of water level on Tuesday = 6 inches
Two ways water level could have changed :
Water level could have ehave risen by 6 inches on Tuesday to give a depth of:
Initial depth + change in depth = (38 + 6) inches = 44 inches
Or
Water level could have fallen by 6 inches on Tuesday to give a depth of :
(initial depth + depth change) = (38 - 6) inches = 32 inches
When you change a slope from positive to negative, it flips because it goes from being an increasing slope to a decreasing slope. negative slopes decrease as they move from left to right; positive slopes increase from left to right. in the case of y = x, which is line directly through the origin, this line is steadily increasing from the bottom left corner to the top of the right corner of a graph. when you change the slope from 1 to -1, the graph instead declines from the top left to the bottom right.