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

Answer:

The modulus of z is $\sqrt{10}$

Step-by-step 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:

$|z| = \sqrt{x^2 + y^2}$

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

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

$|z| = \sqrt{x^2 + y^2} = \sqrt{(-3)^2+1^2} = \sqrt{10}$

The modulus of z is $\sqrt{10}$