Example 2
what is the center and radius of the following circle?
x^2+4x+y^2−12y=41.

The answer to your question is below

Step-by-step explanation:

                                            x² + 4x + y² - 12y = 41

Complete perfect squares

                                            x² + 4x      + y² - 12y        = 41

                                            x² + 4x + (2)² + y² - 12y + (6)² = 41 + (2)² + (6)²

Factor

                                           (x + 2)² + (y - 6)² = 41 + (2)² + (6)²

Simplify

                                           (x + 2)² + (y - 6)² = 41 + 4 + 36

                                           (x + 2)² + (y - 6)² = 81

Center = (-2, 6)

Radius =

solution:

→c= a b , that is product of a and b is possible only when when a is m × n matrix and b is n × p matrix.

that is, number of columns of a= number of rows of b.

so, size of matrix , c= a b is , if a = (m × n)matrix

b= (n × p)matrix

then a b = [ (m × n)matrix] ×[   (n × p)matrix ]

→→c= a b= [m × p ] matrix

→→size of product a b will be equal to = number of rows of a × number of columns of b

in mathematics, a constraint is a condition of an optimization problem that the solution must satisfy. there are several types of constraints—primarily equality constraints, inequality constraints, and integer constraints. the set of candidate solutions that satisfy all constraints is called the feasible set.

hoped i'm right lol