what is the distance from the origin to point p graphed on the complex plane below?\no $sqrt{7}$\no…

Explanation:

Step1: Identify coordinates of point P

The point P has coordinates $(2, - 5)$ in the complex - plane (where the real part is the x - coordinate and the imaginary part is the y - coordinate).

Step2: Apply distance formula

The distance $d$ from the origin $(0,0)$ to the point $(x,y)$ is given by the formula $d=\sqrt{(x - 0)^2+(y - 0)^2}=\sqrt{x^{2}+y^{2}}$. Here, $x = 2$ and $y=-5$. So $d=\sqrt{2^{2}+(-5)^{2}}=\sqrt{4 + 25}=\sqrt{29}$.

Answer:

$\sqrt{29}$