Answer:
Explanation:
To find the distance between the complex numbers -3 + 5i and 2 - 9i, we can use the distance formula for complex numbers, which is given by:
d = sqrt((a - b)^2 + (c - d)^2)
where a, b, c, and d are the real and imaginary parts of the two complex numbers. In this case, a = -3, b = 2, c = 5, and d = -9, so we can substitute these values into the distance formula to get:
d = sqrt((-3 - 2)^2 + (5 + 9)^2)
= sqrt((-5)^2 + (14)^2)
= sqrt(25 + 196)
= sqrt(221)
= 11
Therefore, the distance between -3 + 5i and 2 - 9i is 11.