Respuesta :

DeanR

I'll assume you mean

[tex] \dfrac{x+4}{4+x} [/tex]

The numerator and denominator are equal (x+4=4+x) so the answer is 1.

Answer: 1

That's excepting when x=-4 but we don't need to go there.

Answer:

The value which is equivalent to [tex]\dfrac{x+4}{4+x}[/tex] is :

                                 1

Step-by-step explanation:

We are given a radical expression as:

                       [tex]\dfrac{x+4}{4+x}[/tex]

Now, we know that the addition is commutative.

This means that:

[tex]4+x=x+4[/tex]

Hence, the quantity becomes:

  [tex]\dfrac{x+4}{4+x}=\dfrac{x+4}{x+4}[/tex]

Since, the expression is same in the numerator and denominator, hence, the values get cancelled out.

We get the resulting value as: 1