Given the linear equation 5x+3y-9=0. Write another linear equation in two variables such that the geometrical representation of the pair so formed are parallel lines​

Step-by-step explanation:

Given

The linear equation is

The other linear equation parallel to the given line can be represented by

Here, c can take any value . for example c=1, line becomes

The Euler's formula relates the number of vertices, faces and the edges of a polyhedron. The given polyhedron has 6 vertices, 10 edges and 6 faces

The Euler's proof is:

First, we count the number of faces of the polyhedron.

This is the flat parts of the shape.

The attached shape has 6 flat surfaces.

So:

Next, we count the number of edges.

This is where two faces meet.

The attached shape has 10 edges;

So:

Lastly, we count the number of vertices.

This is where two edges meet.

The attached shape has 6 vertices.

So:

Using Euler's formula, we have:

Substitute values for V, E and F

Hence, the polyhedron has 6 vertices, 10 edges and 6 faces

Read more  vertices, edges, and faces at: