Factor first: (sinx+1)(2sinx-1)=0
sinx+1=0 or 2sinx-1=0
sinx=-1 or sinx=1/2
0≤x≤360, so x=270, or x=30 or x=150
Answer:
2w^2 -7w-2
Step-by-step explanation:
(4w^2 – 4w – 8) – (2w^2 + 3w – 6)
Distribute the minus sign
(4w^2 – 4w – 8) – 2w^2 - 3w + 6
I like to line them up vertically
4w^2 – 4w – 8
– 2w^2 - 3w + 6
-----------------------------
2w^2 -7w-2
Answer:
y=40
Step-by-step explanation:
A direct variation is a relationship between two numbers where the output equals the input times a constant.
The equation for a direct variation can be written as
y=kx
We can figure out the y value of the second coordinate by finding out what the constant (k) is. We can do that by plugging in the first coordinates into the equation.
y = kx
10 = 6k
10/6 = k
We can solve for y by plugging this constant, and the second coordinate into the equation.
y=kx
y=10/6(24)
y=40
Answer:
cos(x-30)=1/2
Step-by-step explanation:
We use the following relationship to obtain cos(x)
From that, we have that cos(x)= sqrt(1-1/4)=sqrt(3) / 4
To obtain the value of cos(x-30), lets remember the following expression:
Therefor, we can use that to obtain our desired function cos(x-30)
cos(x)*cos(30)+sin(x)*sin(30)
=2/4=1/2
