Find the distance between the points (8,10) and (1,1).Round decimals to the nearest tenth. unitsSubmit

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, the two points are (8,10) and (1,1). So, x1 = 8, y1 = 10, x2 = 1, and y2 = 1.

Substitute these values into the formula:

d = sqrt[(1 - 8)² + (1 - 10)²] d = sqrt[(-7)² + (-9)²] d = sqrt[49 + 81] d = sqrt[130]

Now, we need to round the result to the nearest tenth. The square root of 130 is approximately 11.4. So, the distance between the points (8,10) and (1,1) is approximately 11.4 units.