The High School is at (-5,3). Claudia’s house is at (10,-6). What is the shortest distance between them?

17.5

Step-by-step explanation:

Use the distance formula, which is just an application of the pythagoreon theorem:

where (x1,y1) and (x2,y2) are coordinates.

Plug in the numbers:

= 17.5

Hope this helps.

ian gone lie this got me confused

step-by-step explanation:

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4