Need this asap write the equation of a circle with a center at (1, 4) where a point on the circle is (4, 8).

(x - 4)2 + (y - 1)2 = 25
(x - 1)2 + (y - 4)2 = 25
(x - 1)2 + (y - 4)2 = 5
(x + 1)2 + (y + 4)2 = 25

(x-1)^2 + (y-4)^2 = 5^2

Step-by-step explanation:

Using the standard equation of a circle with center at (h, k) and radius r:

(x-h)^2 + (y-k)^2 = r^2, we substitute 1 for h, 4 for k, 4 for x and 8 for y:

(4-1)^2 + (8-4)^2 = r^2, or

    9     +     16     =   25   =   r^2

Thus, the radius is 5

and the equation is (x-1)^2 + (y-4)^2 = 5^2.  This matches the 2nd answer choice.

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.

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