Question

1.) Explain why |8-15i| = 17

Answer 1

The magnitude of a complex number is defined in the complex space where the real numbers are on the horizontal axis, and the complex (imaginary) part is on the vertical axis.

The magnitude is defined to be the distance of the given point to the origin, namely for a complex number
a+bi,
|a+bi|= √(a²+b²)
So
|8+15i|=√(8²+15²)=17

Answer 2

What Is The Graph Of X=y

Answer 3

[AI-generated answer — Explain Bot]

To explain why |8-15i| = 17, we first need to understand the concept of complex numbers and their absolute value.

In mathematics, a complex number is a number in the form of a + bi, where 'a' and 'b' are real numbers and 'i' is the imaginary unit, defined as the square root of -1.

The absolute value, or modulus, of a complex number is a measure of its distance from the origin in the complex plane. It can be calculated using the Pythagorean theorem: |a + bi| = sqrt(a^2 + b^2).

Now, let's apply the formula to the complex number 8 - 15i.

|8 - 15i| = sqrt(8^2 + (-15)^2)
= sqrt(64 + 225)
= sqrt(289)
= 17

Therefore, the absolute value of 8 - 15i is equal to 17.