The distance between the two points)6,3(  and)3,6( is

To find the distance between two points in a plane, we can use the distance formula which is derived from the Pythagorean theorem. The distance d between two points (x1, y1) and (x2, y2) is given by:

d = sqrt[(x2 - x1)² + (y2 - y1)²]

Here, our points are (-6, 3) and (-3, -6). So, x1 = -6, y1 = 3, x2 = -3, and y2 = -6.

Substitute these values into the formula:

d = sqrt[(-3 - (-6))² + (-6 - 3)²] d = sqrt[(3)² + (-9)²] d = sqrt[9 + 81] d = sqrt[90]

So, the distance between the points (-6, 3) and (-3, -6) is sqrt[90] or approximately 9.49 units.