Math, asked by noid67, 7 months ago

On a number line, If the point A has a coordinate of -5 and point B has a coordinate of '1',
then the coordinate of the point 2.6 units to the left of B is​

Answers

Answered by Ishan87000
1
The easiest coordinate system to construct is one that we can use to describe the location of objects in one dimensional space. For example, we may wish to describe the location of a train along a straight section of track that runs in the East-West direction. In order to do so, we must first define an “origin”, which is the reference point of our coordinate system. For example, the origin for our train track may be the Kingston train station (Figure A1.1.1).

We can describe the position of the train by specifying how far it is from the train station (the origin), using a single real number, say
x
. If the train is at position =0
x
=
0
, then we know that it is at the Kingston station. If the object is not at the origin, then we need to be able to specify on which side (East or West in our train example) of the origin the object is located. We do this by choosing a direction for our one dimensional coordinate
x
. For example, we may choose that the East side of the track corresponds to positive values of
x
and that the West side of the track correspond to the negative values of
x
. Thus, in order to fully specify a one-dimensional coordinate system we need to choose:

the location of the origin.

the direction in which the coordinate,
x
, increases.

the units in which we wish to express
x
.

In one dimension, it is common to use the variable
x
to define the position along the “
x
-axis”. The
x
-axis is our coordinate system in one dimension, and we represent it by drawing a line with an arrow in the direction of increasing
x
and indicate where the origin is located (as in Figure A1.1.1).

clipboard_e9b69c5848e46edf51bf45db6c6bbf6fc.png
Figure A1.1.1: A 1d coordinate system describing the position of a train. The Kingston train station is the origin and the East side of the track corresponds to positive values of
x
. The train is located at position 1
x
1
.

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Answered by akbar83
1

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