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You have marked off your shop floor in a grid of 1 foot squares and labeled them with Cartesian coordinates. To perform one task, a worker must go from point (2,7) to point (4,5) then to point (10,6), then back to point (2,7). The worker walks in a straight line between points. How far does she have to walk? 

Determine an equation AND length for the median from vertex C for the triangle with vertices:

C(5, 2) | A(‐3, 3) | B(2, ‐5)


1. What are the general equations of an ellipse?


2. What is the general equation of a circle?


3. What is the general equation of a straight line?


4. What is the general equation of a parabola that opens upward with V(-1,2)?


5. What is the equation of a hyperbola with major axis parallel to the y – axis?


find the points which trisect the segment joining the points (-3, 5) and (9, 2)


3x - 2y - 12 = 0


Given that the equation of the tangent and normal to the ellipse (x^2/a^2) + (y^2/b^2) = 1 at the point P (acosu , bsinu) are respectively
bxcosu + aysinu = ab and
axsinu + bycosu = (a^2 - b^2)sinucosu.
Given that the tangents cuts the x - axis at A and the y - axis at B and that the normal cuts the x - axis at C and the y - axis at D. Show that as u varies, the locus of the midpoint of CD is
4[(a^2)*(x^2)]+ 4[(b^2)*(y^2)] = (a^2 - b^2)^2
Given that a = 5 and b = 4, sketch this locus
Sketch the graph of the parabola (y - 2)^2 = 12(x - 1) showing clearly the focus and the directrix
Write down the standard form of the equation of a parabola in a given directrix and vertex at (0, 0)
(a) x = -4
(b) y = 2
(c) y = - 3
Identify the focus and directrix of the following parabola
(a) 2y^2 = x
(b) x^2 = -36y
Identify the focus and directrix of the following parabola
(a) y^2 = 3x^2
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