Answer to Question #8588 in Algebra for brian
c = √(|x2 - x1|² + |y2-y1|²).
We say that c is the distance between A and B, and we call the formula above, the distance formula.
If we want coordinates of B(x,y) where x and y are variables and the distance of B from A constant, say r,& then moving point B about point D maintaining the distance r forms a circle. If A has coordinates (h,k), then
& r² = (x-h)² + (y-k)²
which means that
r = √( (x-h)² + (y-k)² ).
Observe that the two& equations above are all of the same form, they are all consequences of the& Pythagorean Theorem.
Need a fast expert's response?Submit order
and get a quick answer at the best price
for any assignment or question with DETAILED EXPLANATIONS!