Answer:
The answer to your question is Center = (-1, 2) Radius = 2
Step-by-step explanation:
Data
x² + y² + 2x - 4y + 1 = 0
Process
1.- Group like terms
(x² + 2x ) + (y² - 4y ) = -1
2.- Complete Perfect square trinomials
(x² + 2x + 1²) + (y² - 4y + 2²) = -1 + 1² + 2²
3.- Simplify
(x + 1)² + (y - 2)² = 4
4.- Get the center and the radius
Standard equation (x - h)² + (y - k)² = r²
Center = (h, k)
Center = (-1, 2)
Radius = 2
Step-by-step explanation:
The surface area of a cylinder is given by
Answer:18.0625m^2
Step-by-step explanation:
Length =4 1/4 m
Area= length x length
Area=4 1/4 x 4 1/4
Area=(4x4+1)/4 x (4x4+1)/4
Area=17/4 x 17/4
Area=(17x17)/(4x4)
Area=289/16
Area=18.0625m^2
Answer:
y = -1/2x+2
Step-by-step explanation:
Two points on the line are (0,2) and (4,0)
We can find the slope
m = (y2-y1)/(x2-x1)
= (0-2)/(4 -0)
= -2/4
- 1/2
We know the y intercept is 2 since it crosses the y axis at 2
The slope intercept form is
y = mx+b where m is the slope and b is the y intercept
y = -1/2x+2