What is the focus of the parabola given by the equation y = x2 − 2x − 3?
y = x2 − 2x − 3
y = x2 − 2x − 3 -1 +1y = (x - 1)^2 - 4 h = 1 and k = - 4 and a = 1
Vertex (a, k) so it is (1,-4)
Now focus is
(1, -4 + 1/4) = (1,-3 3/4)
or
(1,-3.75)
Answer:
[rad] 2.41
Step-by-step explanation:
Since it gave you the point and the angle to find, you simply just have to solve for the inverse of cot. Remember cot is the opposite of tan, so cot is cos/sin. In that case, we plug into the calc (in radians):
cot^-1(-√5/2)
And we should get 2.41 as our answer!
Here is my graph. Hope it helps
Let 2_1/2 = 5/2.
Let t = time to fill 8 tires
(5/2)/8 = (5/2)/t
8(5/2) = (5/2)t
20 = (5/2)t
20 ÷ 5/2 = t
20 • 2/5 = t
8 seconds = t
Done.