có 3 người đúng ở vị trí A(-2,3) B(-5,-2) C(2,-2) cả ba cùng hẹn nhau đến vị trí D . Biết rằng ba người đến D cùng một lúc và đều di chuyển với vận tốc như nhau . tính khoảng cách từ vị trí của mỗi ngư...

To solve this problem, we can use the distance formula to find the distance from each person to point D. The distance formula is given by: \[ d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \] Where: - \( (x_1, y_1) \) represents the coordinates of the person - \( (x_2, y_2) \) represents the coordinates of point D We are given the coordinates of point D as well as the coordinates of persons A, B, and C. We can substitute these values into the distance formula to find the distances. For person A: Given: \( A(-2,3) \) Let's assume that point D has coordinates \( (x_D, y_D) \). Then using the distance formula: \[ d_A = \sqrt{(-2 - x_D)^2 + (3 - y_D)^2} \] For person B: Given: \( B(-5,-2) \) Using the distance formula: \[ d_B = \sqrt{(-5 - x_D)^2 + (-2 - y_D)^2} \] For person C: Given: \( C(2,-2) \) Using the distance formula: \[ d_C = \sqrt{(2 - x_D)^2 + (-2 - y_D)^2} \] Now we need to find a value for \( x_D \) and \( y_D \) that minimizes all three distances simultaneously. This can be done using calculus or optimization techniques. After finding these values, substitute them back into each equation to get the final answers for each distance. The final answers should match with those provided in the question.