Which choice is equivalent to the quotient shown here for acceptable values of x?

OPTION D

Step-by-step explanation:

You need to remember this property:

And remember that:

Then, the first step is rewrite the expression:

Now, to find the corresponding equivalent expression, you need to simplify the expression.

Therefore, the equivalent expression is the following:

Finally, you can observe that this matches with the option D.

Choice D

Step-by-step explanation:

The division of the two radicals can be re-written in the following format;

Using the properties of radicals division, the expression can further be written as;

We simplify the terms under the radical sign to obtain;

Choice D is thus the correct solution

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: