Analytic Geometry Answers

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

(l-b)square=(l+b)square-4lb
Which formula of quadrilateral is this?
I just want its name,,,,plse its urgent its my EXAMS

1.The sides of a circle lie on the lines 3x-4y+8=0, 3x+4y-32=0 and x=8. Find the equation of the circle inscribed circle.
2.The sides of a circle lie on the lines 3x+y-5=0, x+3y+7=0 and x-3y-1=0. Find the equation of the circle inscribed in the triangle.

a square is there of side 2a, a vector from centre is pointing at an angle to one of its side n reflects back to a corner of same side. find these two vectors.

If the coordinates of a point An are (2^n,2^n +1) then (A1A5)^2 is equal to ?

Coordinates of the point An are (n^2,2n) and of Bn are (n^2,-2n). What is the area of the quadrilateral with vertices
A1B1BnAn ?

ason is considering purchasing a new machine to make plastic silverware. The machine produces 1,000 pieces of silverware in two hours. One box contains 50 pieces of silverware and sells for $3.00.
If the machine costs $9000, and runs for 24 hours a day,how many days will it take the machine to take enough silverware to pay for itself?