Question

which point shows the location of $5 - 2i$ on the complex plane below?\
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options: point a, point b, point c, point d

Explanation:

Step1: Map complex number to coordinates

A complex number $a+bi$ corresponds to $(a, b)$ on the complex plane, where $a$ is the real (x-axis) coordinate, and $b$ is the imaginary (y-axis) coordinate. For $5-2i$, $a=5$, $b=-2$, so the coordinate is $(5, -2)$.

Step2: Match coordinate to plane point

Locate $(5, -2)$ on the given complex plane. This corresponds to point C.

Answer:

point C