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
A coefficient is a numerical or constant quantity placed before and multiplying the variable in an algebraic expression I think it's A In algebra a term is either a single number or variable or numbers and variables multiplied together.Terms are separated by +or - signs hope this helps
Now you can use the quadratic formula to solve for .
Hello!
To find the line perpendicular to the given line, y = 2x + 3, firstly, find the slope of the perpendicular line. To find it, use this format: -1/m, where m is the slope. It is also called the "negative reciprocal" of the slope of the given line.
Then, you substitute an ordered pair into a new slope-intercept equation (with the slope) and find the y-intercept.
-1/m when m = 2 → -1/2
y = -1/2x + b (substitute the given ordered pair)
-3 = -1/2(2) + b (simplify)
-3 = -1 + b (add 1 to both sides)
-2 = b | The y-intercept of the perpendicular equation is -2.
Therefore, the line perpendicular to the given equation, that also goes through the given ordered pair is y = -1/2x - 2.
-214 over 15 is the answer