Answer:
0.125 seconds.
Step-by-step explanation:
We have been given that the height of a ball above the ground as a function of time is given by the function
, where h is the height of the ball in feet and t is the time in seconds.
We can see that our given equation is a downward opening parabola as its leading coefficient is negative. The maximum point will be vertex of parabola.
To find the time, when the ball would be at its maximum height, we need to find the x-coordinate of vertex.
Using formula
, we will find the x-coordinate of vertex of parabola as:





Therefore, the ball will be at a maximum height after 0.125 seconds.
Answer: 36 sec
Step-by-step explanation:
Let
x------> distance the kitten runs before being caught by the puppy
Remember that
The speed is equal to divide the distance by the time
v=d/t
solve for t
t=d/v
so
equate the time
x/20=(180+x)/25
25x=20(180+x)
25x=3,600+20x
25x-20x=3,600
x=3,600/5=720 m
t=d/v=720/20=36 sec
or
t=(720+180)/25=900/25=36 sec
Answer:
1x-2y
Step-by-step explanation:
You have to go down 2 on the y-axis and over to the right 1 on the x axis
Answer:
19 houses
Step-by-step explanation:
90*(2/5)=36
90-36=54
54*(2/3)=37
54-37=19