A circle is represented by the equation x2 + 8x + y2 – 12y = –29. Describe the algebraic technique(s) needed to rewrite the equation in standard form. Identify the center and radius of the circle. Show your work.

Choose the number sentence that shows the identity property of addition. a. 122 = 61 + 61 b. 62 = 1 + 61 c. 61 = 0 + 61

Sum is 17 and their difference is 3

Set $r$ is a set of rectangles such that (1) only the grid points shown here are used as vertices, (2) all sides are vertical or horizontal and (3) no two rectangles in the set are congruent. if $r$ contains the maximum possible number of rectangles given these conditions, what fraction of the rectangles in set $r$ are squares? express your answer as a common fraction.