Question

На координатном луче отметьте точки О (0), А(2), В(5), С(10). Какую координату имеет точка Е- середина отрезка АС? Определите длину наибольшего из отрезков АС, ВС,СЕ.

Answer 1

О____А________В________Е_____С______
0   1    2    3    4    5    6     7    8    9    10 
-------------------------------------
01 - единичный отрезок
АС = 10 - 2 = 8 (ед.отр.)
ВС = 10 - 5 = 5 (ед.отр.)
СЕ = 10 - 8 = 2 (ед.отр.)

Answer 2

Ac=10-2=8
8/2=4
4+3=6
E(6)
бс=10-5=5
се=6-10=-4
ответ: е(6), ас=8

Answer 3

Plotting Points on a Number Line

To plot the points O(0), A(2), B(5), and C(10) on a number line, we can visualize their positions as follows:

- O(0) - A(2) - B(5) - C(10)

Finding the Coordinate of Point E

To find the coordinate of point E, the midpoint of segment AC, we can use the midpoint formula, which states that the coordinates of the midpoint of a line segment with endpoints (x1, y1) and (x2, y2) are given by:

Midpoint = ((x1 + x2) / 2, (y1 + y2) / 2)

In this case, the coordinates of A and C are (2, 0) and (10, 0) respectively. Using the midpoint formula:

E = ((2 + 10) / 2, (0 + 0) / 2) E = (6, 0)

So, the coordinate of point E is (6, 0).

Determining the Length of Segments AC, BC, and CE

To determine the length of the segments AC, BC, and CE, we can use the distance formula, which states that the distance between two points (x1, y1) and (x2, y2) in a coordinate plane is given by:

Distance = √((x2 - x1)^2 + (y2 - y1)^2)

1. Length of AC: Using the coordinates of A(2, 0) and C(10, 0):

Length of AC = √((10 - 2)^2 + (0 - 0)^2) Length of AC = √(8^2) Length of AC = 8

2. Length of BC: Using the coordinates of B(5, 0) and C(10, 0):

Length of BC = √((10 - 5)^2 + (0 - 0)^2) Length of BC = √(5^2) Length of BC = 5

3. Length of CE: Using the coordinates of C(10, 0) and E(6, 0):

Length of CE = √((6 - 10)^2 + (0 - 0)^2) Length of CE = √((-4)^2) Length of CE = 4

Therefore, the length of the longest segment is AC with a length of 8 units, and the lengths of BC and CE are 5 units and 4 units, respectively.