Aramis is adjusting a satellite because he finds it is not focusing the incoming radio waves perfectly. the shape of his satellite can be modeled by (x-4)^2=3(y-3) where x and y are modeled in inches. he realizes that the static is a result of the feed antenna shifting slightly off the focus point. where should the feed antenna be placed?

(4,3.75).

Step-by-step explanation:

The shape of his satellite can be modeled by the given equation is

             .... (1)

where x and y are modeled in inches.

He realizes that the static is a result of the feed antenna shifting slightly off the focus point. So, we need to find the focus of the given parabola.

If the equation of a parabola is

            .... (2)

then focus of the parabola is (h,k+p).

On comparing (1) and (2) we get

Therefore, the feed antenna should be placed at (4,3.75).

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.

56.6

step-by-step explanation:

the ratio of the perimeters is equal to the scale.

the ratio of the areas is equal to the square of the scale.

34 / 20 = k

a / 19.6 = k²

substituting:

a / 19.6 = (34 / 20)²

a = 19.6 (34 / 20)²

a ≈ 56.6