Answer: the answer is 2 and 5
Step-by-step explanation:
Answer:
Sharon
Step-by-step explanation:
The given parameters are;
The number of persons that rode on the small train = 5
The number of cars in the train = 5
The position Maren sat = Last car
The position Aaron sat = Directly behind Sharon
The position Darren sat = In one of the cars in front of Aaron
The position of one of the members = Between Karen and Darren
The given seating arrangement is as follows;
Maren → Aaron → Sharon → Darren → Karen
Therefore, the person who sat in the middle car is Sharon.
Answer:
A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola
y=5−x^2. What are the dimensions of such a rectangle with the greatest possible area?
Width =
Height =
Width =√10 and Height 
Step-by-step explanation:
Let the coordinates of the vertices of the rectangle which lie on the given parabola y = 5 - x² ........ (1)
are (h,k) and (-h,k).
Hence, the area of the rectangle will be (h + h) × k
Therefore, A = h²k ..... (2).
Now, from equation (1) we can write k = 5 - h² ....... (3)
So, from equation (2), we can write
![A =h^{2} [5-h^{2} ]=5h^{2} -h^{4}](https://tex.z-dn.net/?f=A%20%3Dh%5E%7B2%7D%20%5B5-h%5E%7B2%7D%20%5D%3D5h%5E%7B2%7D%20-h%5E%7B4%7D)
For, A to be greatest ,

⇒ ![h[10-4h^{2} ]=0](https://tex.z-dn.net/?f=h%5B10-4h%5E%7B2%7D%20%5D%3D0)
⇒ 
⇒ 
Therefore, from equation (3), k = 5 - h²
⇒ 
Hence,
Width = 2h =√10 and
Height = 
Answer:
32h^7
Step-by-step explanation:
(4h^4)3=64h^12
64h^12/2h^5=
32h^12/2h^5=32h^7
Hope this helps :)