Answer:
Step-by-step explanation:
The directrices in this case are vertical lines, so we have a horizontal ellipse. The equation for that ellipse is:
The center of the ellipse is (h,k), the diretrix is x = d and the foci are given by (h+c, k) and (h-c, k)
So, comparing the foci, we have that k = 0 and:
Adding these two equations, we have:
We can find the value of a^2 using the property:
Using c = 2 and d = 4, we have:
Now, to find b^2, we use the property:
So the equation of the ellipse is:
Answer:
The total number of containers than can be filled =
Step-by-step explanation:
The amount of blueberries Carl has = 3 1/2 cups
Now,
⇒The amount of blueberries Carl has = 3. 5 cups
Also,the amount of blueberries each container can store = 2/3 cups
Now,
⇒The amount of blueberries each container can store = 0.67 cups
So, \textrm{Total cpus that can be filled by blueberries} = \frac{\textrm{Toaal amount of blueberries to be stored}}{\textrm{Bluebeeries stored in 1 cup}}
=
Now,
Hence, the total number of cups than cen be filled with the blue berries = 5 11/50
⇒ Blueberries can fill 5 full cups and 11/50th of the 6th cup.