30 !

find the quotient. write your answer in simplest form.

4x^2 -49                 4x^2 -1

 ÷        

14x^2 + 53x+14         14x^2 -3x -2

copy dot flip

4x^2 -49                1 4x^2 -3x-2

 *      

14x^2 + 53x+14         4x^2 -1

factor each term

(2x-7) (2x+7)           (7 x + 2) (2 x - 1)

 *        

(7 x + 2) (2 x + 7)         (2x-1)(2x+1)

Cancel

(2x-7)                   (7 x + 2)

 *        

(7 x + 2)                   (2x+1)

(2x-7)  (7 x + 2)

(7 x + 2)   (2x+1)

Continue to cancel

(2x-7)  

  (2x+1)

x = 25/2304

step-by-step explanation:

the transverse axis of a hyperbola is the line that contains the two vertices and the two focuses.

in this example (hyperbola of equation x^2/2 - y^2/4 = 1), the transverse axis is the  x-axis  . 

step-by-step explanation: