The surface distance between 2 points on the surface of a cube is the length of the shortest path on the surface of the cube that joins the 2 points. If a cube has edges of length 4 centimeters, what is the surface distance, in centimeters, between the lower left vertex on its front face and the upper right vertex on its back face?

9.66cm

Step-by-step explanation:

Given a cube, the Surface Distance between two points is defined as the length of the shortest path on the surface of the cube that joins the 2 points.

For a cube of length 4cm, we are to determine the surface distance between the lower left vertex on its front face and the upper right vertex on its back face.

In the produced diagram,

The shortest distance between A and C is the diagonal that joins point A to point C.

Using Pythagoras theorem,

Therefore, the shortest distance between A and point X

=|AC|+|CX|

differnt varibles efect the range

step-by-step explanation:

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions