Question

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

a. square root of 5
b. square root of 13
c. 9
d. 13

Answer 1

The correct option is B

Explanation:

We have two coordinates of point A

(-3,-2)

Origin lies between the coordinates. This means that this picture makes a right triangle and it has sides 3 and 2. So we can find the hypotenuse by the Pythagorean theorem:

(Hypotenuse)² = (3)² +(2)²

(Hypotenuse)²= 9 +4

(Hypotenuse)² = 13

Take square root at both sides:

√(Hypotenuse)² =√13

Hypotenuse = √13

Thus the correct option is B....