Using the following equation, find the center and radius of the circle. You must show all work and calculations to receive credit. x2 + 4x + y2 − 6y = −4

Brittany has designed four different birdcages, each with the same volume: a square pyramid, a cylinder, a cone, and a sphere. the zoo wants to use one of brittany’s designs but plans to change the volume of the cage. find the design change that would result in the birdcage with the greatest volume. a.) increase the area of the base of the square pyramid by a factor of ten. b.) increase the height of the cylinder by a factor of ten. c.) increase the radius of the cone by a factor of ten. d.) increase the radius of a sphere by a factor of ten.

Given: transversal t passed through parrallel lines r and s.prove: < 3 = < 6 < 4 = < 8what is the next step in the proof? choose the most logicsl approach

In triangle abc, angle c is a right angle. find the value of the trig function indicated. find tan a if c = 17 and a = 8