Using the following equation, find the center and radius of the circle. You must show and explain all work and calculations to receive credit. Be sure to leave your answer in exact form. x^2 + y^2 - 8x + 2y + 13 = 0

Hillary is using the figure shown below to prove pythagorean theorem using triangle similarity: in the given triangle abc, angle a is 90° and segment ad is perpendicular to segment bc. the figure shows triangle abc with right angle at a and segment ad. point d is on side bc. which of these could be a step to prove that bc2 = ab2 + ac2? (6 points) by the addition property of equality, ac2 plus ad2 = ab multiplied by dc plus ad2. by the addition property of equality, ac2 plus ad2 = bc multiplied by dc plus ad2. by the addition property of equality, ac2 plus ab2 = ab multiplied by dc plus ab2. by the addition property of equality, ac2 plus ab2 = bc multiplied by dc plus ab2.