Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

complex number system imaginary axis 5i q r 4i s 3i 2i 1i real axis 0i …

Question

complex number system
imaginary axis
5i
q
r
4i
s
3i
2i
1i
real axis
0i
-5 -4 -3 -2 -1 0 1 2 3 4 5
-1i
-2i
t
-3i
-4i
-5i
which of the following points represents the number 4 - 3i on the complex plane?
(1 point)
o q
o r
o s
o t

Explanation:

Step1: Identify complex number components

A complex number $a+bi$ maps to $(a, b)$ on the complex plane, where $a$ is the real part (x-axis) and $b$ is the imaginary part (y-axis). For $4-3i$, $a=4$, $b=-3$.

Step2: Locate coordinates on plane

Find the point with real coordinate $4$ and imaginary coordinate $-3$. This matches point $T$.

Answer:

T