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)

Question

asked Oct 21, 2024 143k views

1 Answer

Akrun · Answer 1 · 2024-10-27T20:07:29+0000

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

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).