<span>Sine
of x is used when to find the side of the triangle that does not have any right
angle or is not a right triangle. This is according to the Law of Sines, which
states that the sides of the triangle are to one another in the ratio as the
sines of their opposite angles.</span>
Answer:
Step-by-step explanation:
The two angles are adjacent on a straight line so they are supplementary. Thus 8x+5+13x-14=180
21x-9=180
21x=189
x=9
Answer:
(a) y = 9/4x -1/4
(b) (-2, -2), (-2, 2)
(c) see below
Step-by-step explanation:
(a) The derivative can be found from ...
2y·y' = 3x² +6x
At (x, y) = (1, 2), this is ...
4y' = 9
y' = 9/4
so the equation of the tangent is ...
y = (9/4)(x -1) +2
y = (9/4)x -1/4
__
(b) At y' = 0, we have ...
0 = 3x² +6x = 3x(x +2)
This says y' = 0 at x=0 or x=-2. (x = 0 is an extraneous solution.)
At x = -2, we have ...
y² = (-2)³ +3(-2)² = -8+12 = 4
y = ±2
So, the horizontal tangent points are (x, y) = (-2, ±2).
The answer is 32. All you have to do is multiply 8 and 4 to get 32, which if you divide by 8 equals 4.