Question

What is the distance from the origin to point A graphed on the complex plane below?

Answer 1

Answer:
`√(13)`

Explanation:

1. Use the equation to find the distance between two points:
`d=\sqrt{(x_(2)-x_(1))^(2)+(y_(2)-y_(1))^(2)`

2. Identify the coordinates of the two points (0,0) and (-2, -3).

3. Plug in the coordinates to the formula:
`d=\sqrt{(-3-0)^(2)+(-2-0)^(2)`

4. Solve the equation:
`d=\sqrt{(-3-0)^(2)+(-2-0)^(2)}=\sqrt{(-3)^(2)+(-2)^(2)}=√(9+4)=√(13)`