Analytic Geometry Answers

In the diagram, points V, W, X, Y, and Z are all collinear, VZ=52, XZ=20, and WX= XY=YZ. Find the length of VW,VX, and VY.

M (-4, 8) is the midpoint of line segment DE. D has coordinates (6,1). Find the coordinates of E.

Write the equation of the circle that satisfies the given condition:

1. Center (3/5 , 1/3), the radius is square root of 10

Write the equation of the circle that satisfies the given condition:

1. center ( 3.14 , -1/2), the radius is square root of 17

Write the equation of the circle that satisfies the given condition:

1. Center (5 , -3), the radius is square root of 6

Write the equation of the circle that satisfies the given condition:

2. center (5 , -12), radius 13

Write the equation of the circle that satisfies the given condition:

1. Center ( 3 , -4), radius 6

Write the equation of the family of lines. Assign three values to the parameter and graph the lines.

1. The lines are parallel to 4x-7y=3

The parabola P: y=a-x^2, a>0, is cut by the line L: y=h, h>0, in the points A and B. the points C and D, on the x-axis, are such that ABCD is a rectangle, R.

(a)Find the coordinates for the vertices of R.
(b)Find the value(s) of h so that R has the greatest area.

prove that the coordinates of the middle point of the line joining the points (2,3) and (3,4) satisfy the equation x - y + 1=o