Factor:
2sin^2x-sinx = 0
sinx(2sinx - 1) = 0
Therefore the solutions are when:
sin x = 0
And
sinx = 1/2
So sinx = 0
is true when x = 0 and pi and all the angles coterminal with these points. Thus, the answer is x = pi*n, (where n is some integer)
sinx = 1/2
is true when x = pi/6 and 5pi/6 and the angles coterminal with these points.
Thus, the answer is x = pi/6 + 2pi*n (where n is some integer)
and x = 5pi/6 + 2pi*n (where n is some integer)
Answer:
It is not a function because both (2,2) and (2,-2) have the same x-coordinate.
Step-by-step explanation:
To be a function for the same x value there should NOT be two different y values.
So, in (2, 2) and (2,-2)
For the same x value 2, there are two different y values 2, -2.
So, this is not a function.
Answer:
12.5 hours
Step-by-step explanation:
budget: 200
fix cost: 50
hourly rate: 12
hours: ?
----
First we deduct the fix 50 dollars cost from the total budget.
Then we divide the remaining amount with the hourly rate
( 200 - 50 ) / 12 = ?
? = 12.5 hours
Answer:
-x^4-10x+1/10
Step-by-step explanation:
standard form goes from biggest power to smallest power
Answer:
≈ 35.1 ft
Step-by-step explanation:
The model is a right triangle with ladder being the hypotenuse and the angle between the ground and the ladder is 70°
Using the cosine ratio, with l being the length of the ladder.
cos70° = 
= 
( multiply both sides by l )
l × cos70° = 12 ( divide both sides by cos70° )
l = 
≈ 35.1 ( to the nearest tenth )
The ladder is approx 35.1 ft long
