Solution: (2,8)
Using the elimination method set up the system of equations like:
y = x + 6
y = 3x + 2
Eliminate the x-variable by multiplying the top equation by -3
-3y = -3x -18
y = 3x + 2
Combine terms:
-2y = -16
-y = -8
y = 8
Plug in 8 to one of the first equations for y
8 = 3x + 2
6 = 3x
x = 2
Solution: (2,8)
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
Answer:
250 cubic m
Step-by-step explanation:
volume of the Olympic grid pool
72 cookies per 36 minutes = 72/36
If both values are divided by 36:
2/1, or 2 cookies per (one) minute.
<span>Brainiest would be nice.</span>
Answer: y = -4x-9
Step-by-step explanation:
parallel slope means it's the same slope as the given equation
y+1=-4(x+2)
y+1 = -4x-8
y = -4x-9