Three moons are in the same circular orbit around a planet. the moons are each 120,000 kilometers from the surface of the planet, located at points a, b, and c. the planet is 60,000 kilometers in diameter and m∠abc=90∘. how far is point a from point c?

Step-by-step explanation:

Alright, lets get started.

Please refer the diagram I have attached.

MN is the diameter of the planet which is

AM and NC are the distance of moons from the surface of the planet.

Since, angle ABC is given as 90 degree, it means, line AC will pass from the diameter of the planet.

So, distance between moon A and moon C is =

Hence the distance between point A and point C is 300000 Km.   :   Answer

Hope it will help :)

add 5 subtract 1

step-by-step explanation:

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)