An architect designs two houses that are shaped and positioned like a part of the branches of the hyperbola whose equation is where and are in yards. How far apart are the houses at their closest point?

40 yards

Step-by-step explanation:

Data:

The hyperbola equation is expressed as follows:

Dividing each term by 250 000 gives:

thus:

a² = 40

Therefore, the houses will be 20 yards apart.

step-by-step explanation:

"image"

step-by-step explanation:

in most of these problems, the notation is that the point with a "prime" is the image of the point without. that is, b' is the image of b.

here, there is no dilation or reflection. there is simply translation (with no direction shown). which figure you call the "preimage" and which one you call the "image" is up to you. as a matter of convention, the naming is as described above.