Find the equation of line that passes through the points: a(2,3) and b(4,6)

Step-by-step explanation:

Hello : let  A(2,3)    B(4,6)

the slope is :   (YB - YA)/(XB -XA)

(6-3)/(4-2)  = 3/2

an equation is : y=ax+b     a is a slope

y = (3/2)x +b

the line through point  (2,3) :  3 = (3/2)(2)+b    

b = 0

the equation is : y =(3/2)x    

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.

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.