SOLUTION: Find the midpoint of the line segment whose endpoints are given (6,3) and (9,4). Find the domain of the function? f(x)= 1/x-6. Finally, write the standard form of the equation of

Algebra ->  Coordinate-system -> SOLUTION: Find the midpoint of the line segment whose endpoints are given (6,3) and (9,4). Find the domain of the function? f(x)= 1/x-6. Finally, write the standard form of the equation of       Log On


   

Question 318219: Find the midpoint of the line segment whose endpoints are given (6,3) and (9,4).
Find the domain of the function? f(x)= 1/x-6. Finally, write the standard form of the equation of the circle with the given center and radius (-3,1);square root 7.
Thanks you very much.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Use the midpoint formula,
xm=%28x1%2Bx2%29%2F2=%286%2B9%29%2F2=15%2F2
ym=%28y1%2By2%29%2F2=%283%2B4%29%2F2=7%2F2
.
.
.
The domain is all x for which f(x) is defined.
f(x) is undefined when the denominator equals zero.
x-6=0
x=6
(-infinity,6)U(6,infinity)
.
.
.
The general equation for a circle centered at (h,k) with radius R is,
%28x-h%29%5E2%2B%28y-k%29%5E2=R%5E2
Comparing,
%28x-%28-3%29%29%5E2%2B%28y-1%29%5E2=%28sqrt%287%29%29%5E2
%28x%2B3%29%5E2%2B%28y-1%29%5E2=7