F(0) = 0 + 4 = 4 Because 0 < 5
F(6) = 8 Because 5 < 6 < 7
Answer:
∠ A = 72°
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°, thus
∠ ECD = 180° - (90 + 54)° = 180° - 144° = 36°
∠ ACB = ∠ ECD = 36° ( vertical angles )
Since AC and BC are congruent then Δ ABC is isosceles, thus the base angles are congruent, that is
∠ A = ∠ B
∠ A = = = 72°
9.2 or 9 1/5 is the correct answer.
A parabola of the form, x = (a)y² + (b)y + c has a vertex, (h, k)
where
k = -b/2a
and
h = (a)k² + (b)k + c
In your case:
k = -0/{2(3)}
k = 0
h = 3(0)²
h = 0
The vertex is: (0, 0)
Let f = the focal width
f = 1/4a
f = 1/12
The focus is at
(h + f, k)
(1/12, 0)
The equation of the directrix is:
x = h - f
x = -1/12