Find the distance between the points (8,8) and (–3,–5).-10-8-6-4-2246810-10-8-6-4-22468100xy(8,8)(–3,–5)Round decimals to the nearest tenth. unitsSubmit

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

d = sqrt[(x2 - x1)² + (y2 - y1)²]

Here, the coordinates of the two points are (8,8) and (-3,-5). So, x1 = 8, y1 = 8, x2 = -3, and y2 = -5.

Substitute these values into the formula:

d = sqrt[(-3 - 8)² + (-5 - 8)²] d = sqrt[(-11)² + (-13)²] d = sqrt[121 + 169] d = sqrt[290]

Therefore, the distance between the points (8,8) and (-3,-5) is approximately 17.0 units (rounded to the nearest tenth).