Respuesta :

The first one.

[tex]|a+bi|=\sqrt{a^2+b^2}[/tex]

Answer:

Option 1 is correct

Explanation:

We have been given with the function 4 -7i

To find the absolute value means to find the modulus of the function.

And modulus of the function is  [tex]\sqrt{a^2+b^2}[/tex]

Here we have a=4 and b= -7 so substituting the values in the formula we will get

 [tex]\sqrt{4^2+(-7)^2}[/tex]

Hence, Option 1 is correct

Option 2 is incorrect because we do not consider "i" in finding absolute value or modulus

Option 3 is incorrect because it should be -7 not 7

Option 4 is incorrect because it should not be whole square.

Therefore Option 1 is correct.