Find the distance between the points (5.7,19.1) and (–17.3,–10.8)

To find the distance between two points in a plane, we can use the distance formula derived from the Pythagorean theorem, which is:

d = sqrt[(x2 - x1)² + (y2 - y1)²]

Here, the coordinates of the first point are (x1, y1) = (5.7, 19.1) and the coordinates of the second point are (x2, y2) = (-17.3, -10.8).

Let's substitute these values into the formula:

d = sqrt[(-17.3 - 5.7)² + (-10.8 - 19.1)²] d = sqrt[(-22.9)² + (-29.9)²] d = sqrt[(525.61) + (893.01)] d = sqrt[1418.62]

So, the distance between the points (5.7,19.1) and (–17.3,–10.8) is approximately 37.7 units (rounded to one decimal place).