Find the vertices and foci of the hyperbola with equation (x-5)^2/81 -(y-1)^2/144 = 1

On average, how many more hits will he get when he bats 100 times at home during the day as opposed to 100 times away at night?

Find the perimeter of the triangle with vertices  d(3, 4),  e(8, 7), and  f(5, 9). do not round before calculating the perimeter. after calculating the perimeter, round your answer to the nearest tenth.  

Find cot x if sin x cot x csc x = √2