Distance Formula

The distance formula is given by: $$d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$$ .

The distance is approximately 32.2.

The correct expression is: $$d = \sqrt{(-3 - 7)^2 + (5 - (-2))^2}$$ .

The correct expression is: $$d = \sqrt{(-2 - 3)^2 + (-1 - 1)^2}$$ .

The correct expression is: $$d = \sqrt{(-2 - 5)^2 + (6 - 1)^2}$$ .

In the formula $$d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$$ , x_1 and y_1 are the coordinates of the first point, and x_2 and y_2 are the coordinates of the second point.

The distance formula calculates the straight-line distance between two points in a Cartesian coordinate system.

The distance is 0, since $$d = \sqrt{(x - x)^2 + (y - y)^2} = 0$$ .

The distance formula is derived by considering the distance as the hypotenuse of a right triangle formed by the differences in x and y coordinates.

The distance is 5, calculated as $$d = \sqrt{(3 - 0)^2 + (4 - 0)^2} = 5$$ .