Draw triangle ABC by first drawing segment BC six inches long. Then draw a 60° angle at vertex B and a 60° angle at vertex C. Extend the segments so that they intersect at point A.

Step-by-step explanation:

Given that segment BC is the base of the triangle, this drawing shows that triangle ABC is an equilateral triangle.

Since;

<B = <C = 60°

Then,

<A + <B + <C =

<A + 60° + 60° =

<A = -

    = 60°

Thus,

AB = BC = AC = 6 inches

The construction is attached to this answer.

  y= -3x is the required function.

step-by-step explanation:

we have been given a table:

x             y

0             0

1             -3

3             -9

-2             6

we can see that the values of y is -3 times the value of x

hence, the function would be: y= -3x.

put the values of x will give the same y as in the table that means function is satisfying the given table.

reduce the friction between its moving parts

step-by-step explanation:

in fact, by reducing the friction between the moving parts of the machine, it is possible to reduce the energy wasted due to this friction; therefore, more input energy is converted into useful work, and this will improve the efficiency of the machine.