We are asked to decide if the expression:
x^2 + y^2 = 1 represents a function.
We recall that in order to have a function, we need for a given value of x to have a SINGLE value of y associated with it.
So in this case, when x is 0 for example, we have the following:
0^2 + y^2 = 1
then y^2 = 1
and we realize that there are TWO values of y whose square form gives 1 (one is 1 and the other -1) Therefore, this relationship is NOT a function, since for example when x = 0 there are TWO values of y to which that x is associated (y = 1 and y = -1).
So please select that this is NOT a function for your answer.
To solve this problem you must apply the proccedure shown below:
1- You have that the equation of the line is:
Where 
is the slope and
is the y-intercept.
2- Based on the information given in the problem, the lines 
and
are parallel, which means that both have the same slope. Therefore, you can calculate the slope of 
:
3- Use the coordinates of the point 
to calculate the y-intercept:
4. Solve for :
5. The equation of the line is:
The answer is:
Answer: The value of m is 29.
Step-by-step explanation:
Given that, One term of 
is 
...(i)
We know that that (r+1)th term in 
is given by :-
...(ii)
On comparing (i) with (ii) , we get
i.e.
Hence, the value of m is 29.
-3(5 + 8x) - 20 ≤ -11 |use distributive property: a(b + c) = ab + ac
-15 - 24x - 20 ≤ -11
-35 - 24x ≤ -11 |add 35 to both sides
-24x ≤ 24 |change signs
24x ≥ -24 |divide both sides by 24
x ≥ -1
