Answer:
The required solution is (5.75,-0.5). It can be written as .
Step-by-step explanation:
The given equations are
.... (1)
.... (2)
Multiply the equation (2) by 2.
.... (3)
Subtract equation (1) from equation (3).
Put this value in equation (1).
Therefore the required solution is (5.75,-0.5). It can be written as .
Explanation:
Linear escale factor 1.
In this case the original volume of the parallelepiped is:
24 cubic units and the new volume must be:
So in this case the ratio of volumes is 1:1
Linear escale factor 2.
In this case the original volume of the parallelepiped is the same: 24 cubic units.
The new voume must be:
So in this case the ratio of volumes is 24:192, that is 1:8
Linear escale factor 3.
In this case the original volume of the parallelepiped is the same: 24 cubic units.
The new voume must be:
So in this case the ratio of volumes is 24:648, that is 1:27
Linear escale factor 4.
In this case the original volume of the parallelepiped is the same: 24 cubic units.
The new voume must be:
So in this case the ratio of volumes is 24:1536, that is 1:64
Linear escale factor r.
In this case the original volume of the parallelepiped is the same: 24 cubic units.
The new voume must be:
So in this case the ratio of volumes is 24:24r^3, that is: