X2+5x+y2-y=-2
X2+2*5x2+(5/2)^2-(5/2)^2+y2-2*y/2+(1/2)^2-(1/2)^2=-2
(x+5/2)^2+(y-1/2)^2-13/2=-2
(x+5/2)^2+(y-1/2)^2=9/2
So centre =(-5/2,1/2)
Radius=(9/2)^(1/2)
Parallel lines have the same slope.
So I plug in the -5 and -4
-4 = 1/2(-5) + b
-4 = -2.5 + b
b = -1.5
So I get y = 1/2x - 3/2
Answer: The sample mean 
Step-by-step explanation:
The confidence interval is given by :-
Sample mean ± Margin of error
Given : The scores on a standardized test are normally distributed. If a random sample of standardized test scores is taken and the confidence interval is (497,537).
i.e. Sample mean - Margin of error = 497 ..(i)
Sample mean + Margin of error=537 ..(ii)
Adding (1) and (2), we get
2 (Sample mean) = 1034
⇒Sample mean = 517
Hence, the sample mean 
<h2>The Answer is:</h2>
Mean or average score of Monica is 150.
<h2>Trust me that is the correct answer!</h2><h2>good luck:)</h2>