Respuesta :

Answer:

D is the right ans

Step-by-step explanation:

if i write step by step it will take a long time so quick

Answer:

D.

Step-by-step explanation:

Simplify the numerator and denominator separately. Let's do the numerator first. In the numerator, we have: [tex]x^2-8x-9[/tex]. We can factor this.

[tex]x^2-8x-9=(x-9)(x+1)[/tex]

(I did this by picking two numbers that multiply to -9 and add to -8. -9 and 1 are the only possible candidates).

Now, let's simplify the denominator. The denominator is:

[tex]5x^2-45x=5x(x-9)[/tex]

Thus, all together we will have:

[tex]\frac{(x-9)(x+1)}{5x(x-9)}[/tex]

We can cancel the (x-9) term. Thus:

[tex]=\frac{x+1}{5x}[/tex]

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