The spacing of the frets on the neck of a classical guitar is determined from the equation d=(21.9)(2)(20−x)12/, where x = the fret number and d = the distance in centimeters to the x-th fret from the bridge. picture of guitar showing relationship between the nut, 1st fret, 2nd fret, xth fret, 19th fret and bridge

sample answer: you can determine whether each element of the domain is paired with exactly one element of the range. for example, if given a graph, you could use the vertical line test; if a vertical line intersects the graph more than once, then the relation that the graph represents is not a function.

its kinda hard to answer this when we dont have all the information that we need.

isocolese triangle

we know that the line connect a and b is the hyptonuse

so first find the hypotonuse length using the distance formula, call the length c

since it is an isocolese triangle, the lengths of the legs are the same

using pythagorean theorem,

in this case, a=b since isocolese triangle so we get

or

we can find c so we can find the distances

we know that if we draw 2 circles, each has center at a and b, and find where they intersect, we can the 2 possible locations for c

if a has center at (xa,ya) and b has center at (xb,yb), then we can solve where

and

intersect to find where they intersect

i'm not going to put an example because i have to go to class. i hope this explanation is enough