Question

When asked to find the distance between the complex points 3 + 8i and 7 + 6i, Zach showed the work below

- 113-7) 2+ (81 – 6v) ?
√(-4)² + (24)
√16 +48
16-4
12
He asked his friend Zoe to find his mistake, and she correctly told him that he should have?

A. Taken the square root of 592, not 576.

B. Multiplied the real parts instead of squaring them.

C. Used the formula for the distance between two points in the complex plane.

D. Divided by the imaginary part instead of squaring it.

Answer 1

To find the distance between complex points, use the formula d = √((x2 - x1)^2 + (y2 - y1)^2). In this case, the distance between 3 + 8i and 7 + 6i is √20.

Step-by-step explanation:

When asked to find the distance between the complex points 3 + 8i and 7 + 6i, Zach made a mistake in his calculation. To find the distance between two complex points, we can use the formula d = √((x2 - x1)^2 + (y2 - y1)^2), where (x1, y1) and (x2, y2) are the coordinates of the points. In this case, the correct calculation would be d = √((7 - 3)^2 + (6 - 8)^2), which simplifies to d = √16 + 4, or d = √20.