Answer:11/4
Step-by-step explanation: u have to just put it backwards
SA = 2πr² + 2πrh
• Factorize right side
SA = 2πr(r² + h)
• Divide both sides by 2πr
SA/2πr = r² + h
• Move r² to left side
h = r² - (SA/2πr)
Im pretty sure that the answer is b:x=2
Answer:
- <u>They can catch up with the bus at 10:40 am.</u>
Explanation:
1. Set the time when Liana and her mother can leave (8:40 am) as t₀ = 0; thus the time of driving for them will be t.
2. The average speed at whic Liana's mother drive: 60 miles/hour
3. Thus, the distance they will have driven will be:
- distance = average speed × time = 60t
4. The time the bus left was 8:00 am, which is 40 minutes before Liana and her mom can leave.
Thus, the time wil have driven when Liana and her mom have driven t hours minutes will be: t + 40 min / 60 min/ hour = t + 2/3
5. The average speed of teh bus is 45 miles / hour
6. The distance the bus will have driven will be:
- distance = average speed × time = 45(t + 2/3)
7. When Liana and her mother catch up with the bus, the distances driven by both of them are equal:
Thus, Liana and her mom can catch up with the bus after 2 hours, since 8:40 am; this is, 10:40 am.
Answer:
Step-by-step explanation:
f(x)= 2x + 5
g(2x + 5)= (2x + 5)^2 = 4x^2 + 20x + 25
h(4x^2 + 20x + 25)= -2(4x^2 + 20x + 25)= -8x^2 -40x - 50