Question

what is the distance from the origin to point a graphed on the complex plane below? o √5 o √13 o 9 o 13

Explanation:

Step1: Identify coordinates of point A

Point A has coordinates (-2, -3).

Step2: Apply distance - formula

The distance $d$ from the origin $(0,0)$ to a point $(x,y)$ is $d=\sqrt{(x - 0)^2+(y - 0)^2}=\sqrt{x^{2}+y^{2}}$. Here $x=-2$ and $y = - 3$. So $d=\sqrt{(-2)^{2}+(-3)^{2}}$.

Step3: Calculate the value

$(-2)^{2}=4$ and $(-3)^{2}=9$. Then $d=\sqrt{4 + 9}=\sqrt{13}$.

Answer:

$\sqrt{13}$