Question

What is the distance from the origin to point A graphed on the complex plane below?
StartRoot 5 EndRoot
StartRoot 13 EndRoot
9
13

Answer 1

Answer:

Coordinates of point A are

(-3,-2)

Origin lies in the center of coordinate system. That means that you can picture this as right triangle with sides 3 and 2 and you need to find hypotenuse of it.

Using pythagoras theorem we calculate:

h^2 = 3^2 + 2^2 = 13

h = sqrt 13

Answer is b

Step-by-step explanation:

Answer 2

Given: The figure.

To find: The distance from the origin to point A graphed on the complex plane below.

Solution:

According to the question, the coordinates of point A are (-2,-3). If a line segment is drawn from the origin O to point A on the graph, a right-angled triangle is formed. Now, the distance between origin O and A can be calculated using the Pythagoras theorem as follows.

$OA = \sqrt{(-2)^{2} + (-3)^{2} }$

      $= \sqrt{13}$

This means that the length of the line segment OA is √13 units.

Therefore, the distance from the origin to point A graphed on the complex plane below is √13 units.

Although a figure of your question is missing, you might be referring to the one attached.