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.The length of a line segment is 13 units and the coordinates of one end point are (-6,1). If the ordinate of theother end point is-1, find the abscissa of the other end point.

Answer»

Let AB be the line segmentTherefore, A(6,-7) and B will be (x,-1) as y-coordinate is called ordinate and x-coordinate is called abscissa.By applying Distance Formula,AB²=(x2-x1)²+(y2-y1)²13²=(x-6)²+(-1+7)²169=x²-12x+36+36⇒x²-12x+72=169⇒x²-12x-97=0

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