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 =

i think it is everything has to equal 180 so, if i correct 4=c. 6=d. 8=a. 7=b. and the last question would be c. because they are parallel lines and they are congruent.

step-by-step explanation:

the reason everything has to equal to 180 is because that is how it works. i'm guessing that is its rule. 4 and 8 are congruent and parallel so, that would be 30+30 because they have the same number. it would equal 60. 6 and 7 are congruent and parallel so, that would be 30+30 because they have the same number. it would equal 60. 60+60 is 180. so, now you have your answer