The second table does not represent a function
Answer:
A
Step-by-step explanation:
We want to solve the equation:
For the interval [0, 2π).
First, we can move all the terms to one side. Start off by subtracting sin(x) from both sides:
We can factor:
By the Zero Product Property:
Solve for each case:
Use the unit circle to solve:
Hence, our answer is A.
*Please note that we should not simply divide both sides by sin(x) to acquire 2sin(x) = 1. The problem with the operation is that we are dividing by sin(x), yet we do not know what the value of x is. Thus, one or more values of x may result in sin(x) = 0, and we cannot divide by 0. Hence, we are required to subtract and then factor, unless the question specifically states that sin(x) ≠ 0.
Answer:
y = - x + 9
Step-by-step explanation:
Because the line is perpendicular, the slope with be the opposite reciprocal. So, if the slope is 1 as in the equation y = x - 1, the opposite reciprocal is -1.
So the equation that is perpendicular will look like this so far:
y = -x + b (b represents our y-intercept that we have not found yet)
Now we will find the y-intercept. We can find it by substituting the coordinates (5,4) as x and y into the equation right above ^^.
So, 4 = -(5) +b or 4 = -5 + b
Add 5 to both sides to isolate b on the right side. b = 9
Therefore, the y-intercept is 9.
Now we have found everything we need for the equation, which is
y = - x + 9
Answer:
kk
Step-by-step explanation:
jy