Could someone please tell me if the following HW problems are correct asap because I was not sure of them and there are no answers in the back of the book. Thanks!

Give the following equations and points find the equation the hyperbola and graph:

1) 9x^(2) -4y^(2)+54x +8y + 78= 0

Answer: -(x+ 3)^(2) / 0.1 + (y-1) ^(2) / 0.25 = 1

or

(y-1) ^(2) / .25 - (x +3 ) ^(2) / 0.1 = 1

2) Focus: (10, 0) Assymptotes: y= +/- 3/4x

Answer: y^(2)/ 9 - x^(2) / 16 = 1