Question

Review the graph of complex number z. On a coordinate plane, the y-axis is labeled imaginary and the x-axis is labeled real. Point z is at (negative 3, 1). What is the modulus of z?

Edge

Answer 1

-2

Explanation:

if this is the right problem it is -2

Answer 2

The modulus of z is
`√(10)`

Explanation:

Complex number:

A complex number, given by:

`z = x + iy`

Can be represented also as a point (x,y).

The modulus is given by:

`|z| = √(x^2 + y^2)`

Point z is at (negative 3, 1). What is the modulus of z?

`x = -3, y = 1`. So

`|z| = √(x^2 + y^2) = √((-3)^2+1^2) = √(10)`

The modulus of z is
`√(10)`