Answer:
Graph C
Step-by-step explanation:
Hi there!
The given linear equations are organized in slope-intercept form:
where <em>m</em> is the slope of the line and <em>b</em> is the y-intercept, or the value of y when the line crosses the y-axis.
y = 2x + 4
Here, the <em>b</em> value is 4. Therefore, the y-intercept of this line is 4.
y = -3x - 2
Here, the <em>b</em> value is -2. Therefore, the y-intercept of this line is -2.
To identify the graph that models these equations, we just have to look for the graph where the lines cross the y-axis at 4 and -2.
The only graph that does this is graph C.
I hope this helps!
Answer:
38
Step-by-step explanation:
An irrational number is a number that can't be written as a simple fraction such as pi because you can't turn pi into a fraction.
We will see that the solution in the given interval is: x = 0.349 radians.
<h3>How to solve equations with the variable in the argument of a cosine?</h3>
We want to solve:
cos(3*x) = 1/2
Here we must use the inverse cosine function, Acos(x). Remember that:
cos(Acos(x)) = Acos(cos(x)) = x.
If we apply that in both sides, we get:
Acos( cos(3x) ) = Acos(1/2)
3*x = Acos(1/2)
x = Acos(1/2)/3 = 0.349
So x is equal to 0.349 radians, which belongs to the given interval.
If you want to learn more about trigonometry, you can read:
brainly.com/question/8120556