It is given in the question that
Steven is solving the equation
He begins with the following two steps.
And we have to find , what will be the next step in solving the equation.
First we combine the like terms. And the like terms are 24 and 40. So we have to add 24 and 40. And that will be the next step.
So the correct option is the last option.
By knowing that p and 2/3 are additive inverses, we will see that p = -2/3
So two numbers A and B are additive inverses if:
A + B = 0
Here the two numbers are p and 2/3, so we have:
2/3 + p = 0
Solving this for p gives:
p = -2/3
Then the value of p is just -2/3.
Now, I can't "drag and drop" the labels in the given image, so I will post a little graph of where each point should be:
If you want to learn more about additive inverses, you can read:
Using the fact that cos is 2π-periodic, we have
That is, for any
and integer
.
We get 2 solutions in the interval [0, 2π] for and
,