For this case we have:
By definition, the Addition Property of Equality establishes that an equality is not altered as long as the same number is added on both sides of it. That is to say:
can be rewritten as:
If we have:
We can add 6 to both sides of the equation, obtaining the following:
Proving that the statement is true.
Answer:
Addition Property of Equality
Answer:
Step-by-step explanation:
Set builder notation-
It is a notation for representing a set by enumerating its elements and stating the properties that its members must satisfy.
The given set is,
This set is comprised of all negative integers. So symbol Z should be used in this case.
The set builder notation for this set is,
Answer:
a) For this case we can use the fact that
And for this case since we ar einterested on and we know that the if we are below the y axis the sine would be negative then:
b) From definition we can use the fact that and we got this:
We can use the notabl angle and we know that :
Then we know that correspond to 225 degrees and that correspond to the III quadrant, and we know that the sine and cosine are negative on this quadrant. So then we have this:
Step-by-step explanation:
For this case we can use the notable angls given on the picture attached.
Part a
For this case we can use the fact that
And for this case since we ar einterested on and we know that the if we are below the y axis the sine would be negative then:
Part b
From definition we can use the fact that and we got this:
We can use the notabl angle and we know that :
Then we know that correspond to 225 degrees and that correspond to the III quadrant, and we know that the sine and cosine are negative on this quadrant. So then we have this:
