Find the standard equation of the sphere with the given characteristics. center: (-1, -7,3) radi radius: s

In triangle △abc, ∠abc=90°, bh is an altitude. find the missing lengths. ab=9, and ac=12, find hc.

The formula for the volume of a rectangular prism is v = lwh. a rectangular prism has a length of 2y 3 and width of 5y. the volume of the prism is 20y 10 + 70y 4 . what is the height of the prism? show your work.

Last saturday, the museum box office sold 281 tickets for a total of $3,954. adults ticket cost $15, and students ticket cost $12. how many of each kind of tickets were sold?