Answer: 8.73 ft/s
Step-by-step explanation:
We have the following equation that models the motion of the rock:
Where 
is the height of the rock at a time 
.
Now, if 
we can find and then the velocity of the rock at that height:
Rearranging the equation:
Multiplying the equation by -1:
Solving with the quadratic formula 
, where 
, 
, 
.
Choosing the positive result of the equation:
Since velocity 
is defined as the traveled distance in a given time , we have:
This is the velocity of the rock at the height of 48 feet
Answer:
it would have to be a or b i think
Step-by-step explanation:
36 + 18 = 54
(1) 18/54 = 1/3 = 33%
43 + 24 = 67
(2) 24/67 = 36%
I hope these are right
Answer:
x = -45, y = -40
Step-by-step explanation:
Based on the first clue, we find out that
x + 5 = y
5x = 6y + 15
We can re-write the first equation to x = y - 5.
Therefore, the second equation can also be written as 5(y - 5) = 6y + 15
This can be simplified to 5y - 25 = 6y + 15
We can subtract 6y from each side, and add 25 to each side;
5y - 6y = 15 + 25
Therefore, -y = 40
Therefore y = -40.
Now let's plug this back into the original equation, to get : x + 5 = -40
x=-45
