Project 5

1. If and D(7,0) are the vertices of a parallelogram, determine r and s. Find the equation of the perpendicular bisector of and . Determine the slopes (both of them) of the diagonals of this parallelogram. Are these diagonals perpendicular to one another? Do they bisect one another?
2. Determine the equation of the circle with center (-2,5) and radius 4. Does the point (2, 5) lie on this circle? Let A(-2,4) and B(2,5) so is a chord on the circle. Find the equation of the perpendicular bisector of this chord and show the the center of the circle lies on this perpendicular bisector.
3. Graph the function on a coordinate system and find the minimum value of the function and the value of x for which this minimum occurs.

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