Question #bea27

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Answer 1 · 2018-02-01T02:45:40

(a). Graph is available in the explanation.

(b). Modulus is #~~5.8#, after rounding to the tenths place.

Given:

the Complex Number : #(5-3i)#

A complex number is of the form #a+bi#

So, for our complex number ** #(5-3i)#, #a=5 and b = (-3)#

a. Graph of the Complex Number is below:

enter image source here

b. Modulus of the Complex Number is:

A Complex number of the form #a+bi#,.

The Modulus of a Complex number can be found using the formula:

#color(green)(|z| = sqrt(a^2+b^2)#

For our complex number #(5-3i)#, #a=5 and b = (-3)#

Using the formula, we get

#|z| = sqrt(5^2+(-3)^2)#

#|z| = sqrt(25+9)#

#|z| = sqrt(34)#

#|z| ~~ 5.830952#

Hence,

Modulus is #~~5.8#, after rounding to the tenths place.