Question

Оля отметила на прямой 9 точек. Расстояние между 2-мя точками-5мм. Каково расстояние между крайними точками?

Answer 1

1 точка не удлинняет растояние, поэтому 8*5=40 мм. расстояние между двумя крайними точками

Answer 2

9-1=8 - всего точек (одна не в счёт)

8*5=40 (мм.) -расстояние между крайними точками

Ответ: расстояние между крайними точками 40 мм (4 см)

Answer 3

Calculating the Distance Between the Endpoints of the Line Segment

To calculate the distance between the endpoints of the line segment, we can use the formula for finding the distance between two points in a plane. Given that Olga marked 9 points on a straight line and the distance between any two adjacent points is 5mm, we can calculate the distance between the outermost points.

The formula for finding the distance between two points \((x_1, y_1)\) and \((x_2, y_2)\) in a plane is:

Distance = \(\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}\)

In this case, since the points are marked on a straight line, we only need to consider the distance along the x-axis.

Calculation

Using the formula, the distance between the outermost points can be calculated as follows:

Let's assume the first point is at position \(x = 0\) and the last point is at position \(x = 8\) (since there are 9 points in total, including the first and last points).

So, the distance between the outermost points is:

Distance = \(\sqrt{(8 - 0)^2 + (0 - 0)^2}\)

Distance = \(\sqrt{8^2}\)

Distance = 8mm

Therefore, the distance between the outermost points on the straight line is 8mm.

- Source: 'Kvant Journal'