Answer:
cos x (2 sin x − 1)
Step-by-step explanation:
sin(2x) − cos x
Use double angle formula.
2 sin x cos x − cos x
Factor.
cos x (2 sin x − 1)
You get imaginary roots for this equation.
x=4-5i
x=4+5i
It should be $92.00
80 • .15 = 12
so 15% of the total ($80) is 12.
add the 12 to the total 80+12= $92
Answer:
The third equation: ![y+2=-3(x-1)](https://tex.z-dn.net/?f=y%2B2%3D-3%28x-1%29)
Step-by-step explanation:
The two points on the line are
and
.
Slope of the line passing through two points
and
is given as:
![m=(y_{2} -y_{1})/ (x_{2} -x_{1})](https://tex.z-dn.net/?f=m%3D%28y_%7B2%7D%20-y_%7B1%7D%29%2F%20%28x_%7B2%7D%20-x_%7B1%7D%29)
Here,
and
are
and
.
Therefore, slope is equal to, ![m=(-2-4 )/ (1-(-1)](https://tex.z-dn.net/?f=m%3D%28-2-4%20%29%2F%20%281-%28-1%29)
Now, equation of a straight line with slope m and points
and
is given as:
![y-y_{1}=m(x-x_{1})\\y-y_{2}=m(x-x_{2})](https://tex.z-dn.net/?f=y-y_%7B1%7D%3Dm%28x-x_%7B1%7D%29%5C%5Cy-y_%7B2%7D%3Dm%28x-x_%7B2%7D%29)
Now, if we use the 2nd form, then
.
So, the equation is given as :