Similar triangles so AC:BC=AE:DE
15+6=21 = AE
15:12.5=21:?
to get from 15 to 12.5 you divide by 15 and times by 12.5 so do this the to the other side
21/15=1.4
1.4 x 12.5=17.5
So DE=17.5
Answer with Step-by-step explanation:
Since we have given that
Initial velocity = 50 ft/sec = 
Initial height of ball = 5 feet = 
a. What type of function models the height (ℎ, in feet) of the ball after tt seconds?
As we know the function for height h with respect to time 't'.

b. Explain what is happening to the height of the ball as it travels over a period of time (in tt seconds).
What function models the height, ℎ (in feet), of the ball over a period of time (in tt seconds)?
if it travels over a period of time then time becomes continuous interval . so it will use integration over a period of time
Our function becomes,

The length of hours Gilbert drove is 7.5 hours.
The length of hours Brian drove is 4.1 hours.
<u>Step-by-step explanation</u>:
- Gilbert averaged = 45 miles per hour
- Brain averaged = 65 miles per hour
- Total hours = 11.6 hours
- Total distance = 604 miles
Let 'x' be the hours Gilbert drove.
Let 'y' be the hours Brian drove.
x+y = 11.6 -----(1)
45x+65y = 604 -----(2)
Multiply (1) by 45 and subtract (2) from (1)
45x+45y = 522
-(<u>45x+65y = 604</u>)
<u> -20y = -82 </u>
y = 82/20
y = 4.1 hours
The length of hours Brian drove = 4.1 hours
Substitute y=4.1 in (1)
x+4.1 = 11.6
x = 7.5 hours
The length of hours Gilbert drove = 7.5 hours
3 x - 7 = 5 x + 13
3 x - 5x = 13 + 7
-2x = 20
x = 20 / -2
x = - 10
Lol, bro, 15.68 is your solution