which of the following can be used to find the absolute value of 4 - 7i?

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.