Vertex is directly in middle of directix and focus
distance from 8 to -8 is 16
16/2=8
so 8 below focus (since 8>-8) is the point (0,0
vertex is (0,0)
nice
it opens up because focus is above directix
also it goes up down so
4p(y-k)=(x-h)^2
(h,k) is veretx
we got that (h,k) is (0,0)
and p is distance from vertex to focus which is 8
so
4(8)(y-0)=(x-0)^2
32y=x^2
y=(1/32)x^2
The absolute value is always positive, so the numbers would be 4 and 4.
Those are two equal numbers so it is: equal to
Hope this helps.
Answer with Step-by-step explanation:
We are given that
and are linearly independent.
By definition of linear independent there exits three scalar and such that
Where
We have to prove that and are linearly independent.
Let and such that
...(1)
..(2)
..(3)
Because and are linearly independent.
From equation (1) and (3)
...(4)
Adding equation (2) and (4)
From equation (1) and (2)
Hence, and area linearly independent.
Answer:
Maybe 0.6
Step-by-step explanation:
If each player will receive 7/8 of a cup, and there are a total of 20 cups of lemonade, then the number of servings that can be made is equal to:
20 cups divided by (7/8 cup per player)
20 / (7/8) = 20 * (8/7) = 160/7 = 22 and 6/7 (round down since we're looking for complete servings)
This means that 22 complete servings can be made.