Consider the portion of the video that shows two galaxy clusters that have collided, and includes a map showing the inferred distribution of dark matter among these clusters. how did astronomers infer the location of the dark matter?

This is done by observing carefully how the light of galaxies beyond these clusters has been bent by the clusters.

Explanation:

Astronomy is the branch of science that deals with the physical universe as a whole.

The astronomers study the planets and every other thing in the universe such as the sun, stars and the rest. The works towards of knowing how the universe works.

giant impact theory - the moon was formed from the collision between earth and another mars-sized body.

colliding planetesimals hypothesis - the moon was formed from the same cloud of material as earth.

capture hypothesis - the moon was locked into orbit by earths gravity as it was passing by it.

accretion hypothesis - the moon was formed from collisions and combining of planetesimals.

i think this is right, if not and you know better let me know.