The complex number _ lies in the shaded area of the graph. The complex number _ does not lie in the shaded area.

Mathematics

1 answer:

Anastaziya [24]3 years ago

5 0

Think of imaginary numbers on a complex plane as coordinates - take the real part, that's the x coordinate, the imaginary part that's the y coordinate.

Therefore, for the first blank, -1+3i lies in the shaded area, because its coordinates are (-1,3).
And following on from that for the second one, -4i does not lie in the shaded area, since its coordinates are (0,-4).

Tl;dr is taking a complex number a+bi and placing it on a complex plane, it will have coordinates (a,b)

You might be interested in

Module 1: directions: respond to this question to demonstrate your understanding of the topic/content. be sure to provide adequa

olya-2409 [2.1K]

The slope intercept form of the line whose points are (1,5) and (-2,-4) is y=3x+2.

Given two points of a line (1,5) and (-2,-4).

We have to form an equation in slop intercept form.

Equation is relationship between two or more variables which are expressed in equal to form.Equations of two variables looks like ax+by=c.

Point slope form of an equation is y=x+mc where m is slope of the line.

From two points the formula of equation is as under:

(y- $y_{1}$ )= $(y_{2} -y_{1} )/(x_{2} -x_{1} )$ *(x- $x_{1}$ )