Question

Срочно даю 30 баллов Найти длину отрезка АВ с координатами: а) А (-2, 3) В (9, 7) б) А (2, (5)) В (10, (8)).

Answer 1

Ответ:

Пошаговое объяснение:

Решение дано на фото.

Answer 2

Finding the Length of Line Segment AB

To find the length of line segment AB with coordinates, we can use the distance formula. The distance formula calculates the distance between two points in a coordinate plane.

The distance formula is given by:

d = √((x2 - x1)^2 + (y2 - y1)^2)

Let's calculate the length of line segment AB for both sets of coordinates:

a) A(-2, 3) and B(9, 7):

Using the distance formula, we have:

d = √((9 - (-2))^2 + (7 - 3)^2)

Simplifying further:

d = √((11)^2 + (4)^2)

d = √(121 + 16)

d = √137

Therefore, the length of line segment AB with coordinates A(-2, 3) and B(9, 7) is approximately 11.70 units.

b) A(2, 5) and B(10, 8):

Using the distance formula, we have:

d = √((10 - 2)^2 + (8 - 5)^2)

Simplifying further:

d = √((8)^2 + (3)^2)

d = √(64 + 9)

d = √73

Therefore, the length of line segment AB with coordinates A(2, 5) and B(10, 8) is approximately 8.54 units.

Please let me know if there's anything else I can help you with!