Answer:
19,683 and 1/243
Step-by-step explanation:
The equation gives the height of the ball. That is, h is the height of the ball. t is the time. Since we are looking for the time at which the height is 8 (h=8), we need to set the equation equal to 8 and solve for t. We do this as follows:




This is a quadratic equation and as it is set equal to 0 we can solve it using the quadratic formula. That formula is:

You might recall seeing this as "x=..." but since our equation is in terms of t we use "t-=..."
In order to use the formula we need to identify a, b and c.
a = the coefficient (number in front of)

= 16.
b = the coefficient of t = -60
c = the constant (the number that is by itself) = 7
Substituting these into the quadratic formula gives us:



As we have "plus minus" (this is usually written in symbols with a plus sign over a minus sign) we split the equation in two and obtain:

and

So the height is 8 feet at t = 3.63 and t=.12
It should make sense that there are two times. The ball goes up, reaches it's highest height and then comes back down. As such the height will be 8 at some point on the way up and also at some point on the way down.
Answer:
Brainliest?
Step-by-step explanation:
1.
subtract 1 from both sides
divide by 2
2.
add 5 to each side
divide by 4
The first thing we must do for this case is find the scale factor.
We have then that for the larger side of both triangle, the scale factor is:

To find the other two sides, we must apply the scale factor on each side of the triangle FGH.
We have then:
For PQ
For QR
Answer:
You have that the lengths for the other two sides of triangle PQR are: