Question

Which point represents the quotient of StartFraction 4 + 3i Over -i EndFraction?

A) B on Edge 2020
B) (-3, 4)
C) (4, -3)
D) (3, -4)

Answer 1

The quotient of 4 + 3i divided by -i is represented by the point (4, -3).

Step-by-step explanation:

To find the quotient of 4 + 3i⁄-i, we need to multiply the numerator and denominator by the conjugate of the denominator.

The conjugate of -i is i. So multiplying the numerator and denominator by i gives:

(4 + 3i) * i⁄-i * i = 4i + 3i2⁄-i2.

Since i2 is equal to -1, we can simplify the expression further:

4i + 3i2⁄-i2 = 4i - 3⁄1 = 4i - 3.

Therefore, the quotient of 4 + 3i⁄-i is represented by the point (4, -3).