Answer:
The answer to your question is Center: (-1 , 3)
Step-by-step explanation:
Data
x² + y² + 2x - 6y + 1 = 0
Process
1.- Group like terms pass the independent term to the right side
(x² + 2x ) + (y² - 6y ) = -1
2.- Divide the second term of each group by 2 and write the result in the third position of each group to the second power. Write these numbers also in the right side of the equation.
(x² + 2x + (1)²) + (y² - 6y + (3)²) = -1 + (1)² + (3)²
3.- Factor in the left side and simplify in the right side
(x + 1)² + (y - 3)² = -1 + 1 + 9
4.- Simplify
(x + 1)² + (y - 3)² = 9
5.- Find the center and the radius
Center: (-1 , 3)
radius = 
= 3
1 3/4 × 4 = 7/4 × 4 = 7 hours on saturdays
3/4 × 3 = 9/4 = 2 1/4 hours on Wednesdays
7 + 2 1/4 = 9 1/4 hours of volunteering total
Answer:
No.
Step-by-step explanation:
y/x has to be the same number no matter what except at point (0 0) which it must also include for it to be a direct variation.
*y=2x+3 is not a direct variation because you can not write it as y/x=k where k is some constant number. If we were y=2x, then yes since y/x=2.
*You could also take two points and see if they are proportional. That is, you can see if y2/x2 gives the same value as y1/x1 where (x1,y1) and (x2,y2) are points on the line y=2x+3. This must work for every pair of points on the linear relation except at x=0 (where you would or should have y=0 if it is directly proportional).
Let's try it out. If x=1, then y=2(1)+3=5.
5/1=5
If x=2, then y=2(2)+3=7
7/2=3.5
As you can see 5 doesn't equal 3.5.
*For it to be a direct variation, it also must contain the point (0,0) and be a diagonal line when graphed. It can also be written in form y=kx where k is a constant number. This fails two of the the things I mentioned. It doesn't contain point (0,0) because y=2(0)+3=3 not 0. It cannot be written in form y=kx because of the plus 3.
If it were y=2x, then the answer would be yes.
"the magnitude<span> of a </span>city can<span> be. </span>defined<span> as the </span>common logarithm<span> of the </span>population<span>, </span>P<span>. In </span>2007.Tallahassee had<span> a </span>population<span> ofabout 1.7 X 105 </span>people<span>.</span>
