The gravitational force produced between any two objects kept 2.5×10^4 km apart is 580 N . At what distance should they be kept so that the gravitational force become half.​

Formula for gravitational force    F = G M1 * M2 / R^2  where G is the gravitational constant

F2 / F1 = (R1 / R2)^2 = 1/2         where F2 is the required force

R2 = (2)^1/2  R1     distance for R2 to be 1/2 force at R1

Since force is proportional to the square of the distance of separation, increasing the distance of separation by 2^2 will halve the force

i hope this is what you were looking for.

see attached graph

5=812a+9+3

step 1: simplify both sides of the equation.

5=812a+9+3

5=(812a)+(9+3)(combine like terms)

5=812a+12

5=812a+12

step 2: flip the equation.

812a+12=5

step 3: subtract 12 from both sides.

812a+12−12=5−12

812a=−7

step 4: divide both sides by 812.

812a /812 = -7/812

a= -1/116

so the answer is

a=   -1/116