Question

PLZ HELP!!!!

Find the missing value when given the modulus.

1. (picture) (in the first quadrant)

Answer 1

14

Explanation:

Answer 2

`b = 14`

Explanation:

Given that the modulus of z = 48+bi is 50

Also that the point lies in the I quadrant.

Hence b can be positive only

We have from the definition of modulus of complex numbers that

`|48+bi|=√(48^2+b^2) \\=50`

Square both sides to get

`48^2+b^2 =50^2\\b^2 = 50^2-48^2 =196\\b = +14`

Hence we find that the square root is positive for +14

So
`b = 14` is the answer.