what is the distance from the origin to point a graphed on the complex plane below?\no $sqrt{5}$\no…

what is the distance from the origin to point a graphed on the complex plane below?\no $sqrt{5}$\no $sqrt{13}$\no 9\no 13

what is the distance from the origin to point a graphed on the complex plane below?\no $sqrt{5}$\no $sqrt{13}$\no 9\no 13

Answer

Explanation:

Step1: Identify coordinates of point A

Point A has coordinates (-2, -1).

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 $y = - 1$. So $d=\sqrt{(-2)^{2}+(-1)^{2}}$.

Step3: Calculate the value

$(-2)^{2}=4$ and $(-1)^{2}=1$, then $d=\sqrt{4 + 1}=\sqrt{5}$.

Answer:

$\sqrt{5}$