y = x means that the line is going 1 value of x for every 1 value of y.
The intersection would be at the (0,0).
However, y = x+2 would have a intersection at (0,2) when y-axis have the value 2. The slope doesn't increase, because the derivative of both slopes gives us y = 1.
Therefore, the line shifts up 2 units.
Hope you understood!
Good luck ;)
Sincerely
Astrophysicist. D
The area is length x width which means it would be 14 x 8
14 x 8 = 112 so the area of the rectangle is 112 square ft.
258,177
258,180
258,200
258,000
260,000
300,000 <<<
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
Period = 2pi/B = 8
B = pi/4
I think its 2sin((pi/4)x) + 5