100 POINTS + BRANLIEST
2 answers:
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Answer: is parallel to
Step-by-step explanation:
<h3> The complete exercise is: "IsThe equation of the line in Slope-Intercept form is:
Where "m" is the slope of the line and "b" is the y-intercept.
First, in order to solve this exercise it is important to remember that, by definition:
1. The slopes of parallel lines are equal.
2. The slopes of perpendicular lines are negative reciprocal.
In this case, you have the following line given in the exercise:
You can identify that "m" and "b" are:
And the other line provided in the exercise is this one:
So, you can identify that:
As you can notice, the slopes of both lines are equal; therefore, you can conclude that those lines are parallel.
Answer:
Step-by-step explanation:
I'm going to use instead of
because it is less characters for me to type.
I'm going to start with the left hand side and see if I can turn it into the right hand side.
I'm going to use a cofunction identity for the 2nd term.
This is the identity: I'm going to use there.
I'm going to rewrite this in terms of and
because I prefer to work in those terms. My objective here is to some how write this sum as a product.
I'm going to first use these quotient identities: and
So we have:
I'm going to factor out because if I do that I will have the
factor I see on the right by the reciprocal identity:
Now I need to somehow show right right factor of this is equal to the right factor of the right hand side.
That is, I need to show is equal to
.
So since I want one term I'm going to write as a single fraction first:
Find a common denominator which is :
By the Pythagorean Identity I can rewrite the top as 1:
By the quotient identity , I can rewrite this as:
By the cofunction identity , we have the second factor of the right hand side:
Let's just do it all together without all the words now:
Attached the solution and work.
