Circle P is defined by the equation (x - 4)? + (y + 3) = 49. Which of the following shows the location of the center of Circle P and the radius of this circle?
OP is located at (-4, 3); radius = 7 units
OP is located on (4, -3); radius = 7 units
Pis located at (4, -3); radius = 49 units
Pis located at (-4, 3), radius = 49 units

Factor completely. 4p^2 + 36p + 81 express the answer in the form (ap + b)^2

Since opening night, attendance at play a has increased steadily, while attendance at play b first rose and then fell. equations modeling the daily attendance y at each play are shown below, where x is the number of days since opening night. on what day(s) was the attendance the same at both plays? what was the attendance? play a: y = 8x + 191 play b: y = -x^2 + 26x + 126 a. the attendance was never the same at both plays. b. the attendance was the same on day 5. the attendance was 231 at both plays on that day. c. the attendance was the same on day 13. the attendance was 295 at both plays on that day. d. the attendance was the same on days 5 and 13. the attendance at both plays on those days was 231 and 295 respectively.

Hector and alex traded video games. alex gave hector one fourth of his video games in exchange for 6 video games. then he sold 3 video games and gave 2 video games to his brother. alex ended up with 16 video games. how many video games did alex have when he started?