Answer:
B
Step-by-step explanation:
From any point (x, y) on the parabola the focus and directrix are equidistant.
Using the distance formula
= | y - 6 |
Squaring both sides
(x + 2)² + (y - 4)² = (y - 6)² ← distributing
x² + 4x + 4 + y² - 8y + 16 = y² - 12y + 36 ( subtract y² - 12y + 36 from both sides )
x² + 4x + 4 + 4y - 20 = 0 ( subtract x² + 4x + 4 from both sides )
4y - 20 = - x² - 4x - 4 ( add 20 to both sides )
4y = - x² - 4x + 16 ( divide through by 4 )
y = - 
x² - x + 4, that is
f(x) = - x² - x + 4 → B
There is a 1.923076923076923% (or 1.9% rounded) chance that you will have enough luck to ever manage to pull an ace of hearts from all 52 cards, in ratio form it is 1:52 chance..
50% off. You only have to pay $5. If you do 10% off one time you have to pay $9 and then the next time you get 40% off, you’d have to pay $6.
Unless I completely misunderstood, 50% should be better. If it’s 40% off + 10% then it will be 50% and therefore both of them are equal deals and both good.
The summation of the lengths of Ef and FG would give us the length of EG.
This means that:
EF + FG = EG
4x - 16 + 3x - 6 = 27
7x = 27 + 16 + 6
7x = 49
x = 49/7 = 7
Therefore:
EF = 4(7) - 16 = 12 unit length
FG = 3(7) - 6 = 15 unit length
Answer:
The answer to your question is: 0° or 180°
Step-by-step explanation:
Equation
- 4 + 6 sin x = - 4 + 4 sin x
0° ≤ x ≤ 180°
6 sin x - 4 sin x = -4 + 4
2 sin x = 0
sin x = 0/2
sin x = 0
x = 0° or 180°
