Answer:
Solution Given:
To find the simplest form we need to open bracket
-2x²(3x²-2x-6)
-2x²*3x²-2x²*(-2x) -2x²*(-6)\
is a required answer.
Answer:
y = 1/6 x^2 + 8/3 x + 49/6
Step-by-step explanation:
This is a parabola which opens upwards.
The distance of a point (x, y) from the focus is
√[(x - -8)^2 + (y - -1)^2] and
the distance of the point from the line y = -4
= y - -4
These distances are equal for a parabola so:
√[(x - -8)^2 + (y - -1)^2] = y + 4
Squaring both sides:
(x + 8)^2 + (y + 1)^2 = (y + 4)^2
x^2 + 16x + 64 + y^2 + 2y + 1 = y^2 + 8y + 16
x^2 + 16x + 64 + 1 - 16 = 8y - 2y
6y = x^2 + 16x + 49
y = 1/6 x^2 + 8/3 x + 49/6 is the equation of the parabola.
To make it easier make 0.5 a 1 (0.5 x 2 = 1) and also double the 6 (6 x 2 = 12) so now you have and easier setup now divide 204/12 and should get 17 and multiply by 1 ( 17 x 1 = 17)
You answer is 17
Answer:
Step-by-step explanation:
So an angle has two parts. Initial side and terminal side.
Inital side like on x axis. and terminal side shows how much it open up. Here the terminal angle terminates in second quadrant so we have the following
- A negative Cosine Value
- A positive Sine value
- A negative Tangent Value.
Now, using Pythagoras identity let solve for cos theta.
Here you on the right track but remeber that son theta=1/3 so sin theta squared would be 1/3 squared so we have
Note since cosine is negative in second quadrant, cos theta is
To find tan theta we do the following
So
Tan is negative in second quadrant