Directrix is x =1, so it is horizontal parabola.Vertex is between the focus and directrix on equal distance 5-x=x-1, 2x=6,
x=3. y -coordinate of the vertex for this parabola equals y-coordinate of the focus.
Vertex (3,2).
Focus has x=5 >1, so it is directed to the right.
Answer:
C
Step-by-step explanation:
Using the sine ratio in the right triangle
sin53° = =
Multiply both sides by 45
45 × sin53° = x, hence
x ≈ 35.94 → C
Harvey has 112 marbles and 7 trays that hold an equal number of marbles each. To find the number of marbles in 3 trays, you need to find the number of marbles that each tray holds. In order to do this, you need to divide:
112/7 = 16
(number of marbles divided by the number of trays)
This gives you 16, which is the number of marbles in 1 tray. To find the number of marbles in 3 trays, you need to multiply the number of marbles in each tray times the number of trays:
16 x 3 = 48
So, Harvey will display 48 marbles on 3 trays.
12 ten-thousands . 120,000
8 thousands . . . . . . . 8,000
14 hundreds. . . . . . . . 1,400
7 ones. . . . . . . . . . . . . . . . 7
_______________________
Total . . . . . . . . . . . 129,407