a pair of listening posts picks up a sound, with one listening post recording the sound after the other. the equation x^2 /1890625 - y^2 / 7,109,375=1 represents possible locations of the sound source with units in feet. how far apart are the listening posts?
1,375 feet
2,750 feet
3,000 feet
6,000 feet

Respuesta :

Answer:

I'm not sure, but it might be A

Step-by-step explanation:

Vertex is 1375. The other person said it was B, but someone else said it can't be that. The foci is (7356471.694,0) (-7356471.694,0), so can't be that. Guessing, don't take my word for it unless this gets a high rating

The possible location of the sound source with 1375 feet apart. Then the correct option is A.

What is a hyperbola?

The hyperbola is the locus of a point such that the difference of distance from point P to two non-movable points. These two points are called foci of hyperbola.

A pair of listening posts picks up a sound, with one listening post recording the sound after the other.

The equation will be

[tex]\rm \dfrac{x^2}{1890625 }- \dfrac{y^2 }{ 7,109,375}=1[/tex]

The equation represents possible locations of the sound source with units in feet.

The equation can be written as

[tex]\rm \dfrac{x^2}{1375^2}- \dfrac{y^2 }{ 2666.34^2}=1[/tex]

The listening posts are 1375 feet apart.

More about the hyperbola link is given below.

https://brainly.com/question/12919612