The line L_{1}; 2y - x - 7 = 0 and is shown on the diagram The point A has coordinates (1, 4) . (a)Show that A lies on L_{1} The point C has coordinates (5, 12) . Mis the midpoint of AC. (b)Find the coordinates of M. (c)Find the length of AC . The straight line, L_{2} , is perpendicular to AC and passes through M. (d) Show that the equation of L_{2} is 2y + x - 19 = 0 . The point D is the intersection of L_{1} and L_{2} (e) Find the coordinates of d The length of MDis * (sqrt(45))/2 () Write down the length of MD correct to five significant figures. The point B is such that ABCD is a rhombus. (g) Find the area of ABCD
The line L_{1}; 2y - x - 7 = 0 and is shown on the diagram The point A has coordinates (1, 4) . (a)Show that A lies on L_{1} The point C has coordinates (5, 12) . Mis the midpoint of AC. (b)Find the coordinates of M. (c)Find the length of AC . The straight line, L_{2} , is perpendicular to AC and passes through M. (d) Show that the equation of L_{2} is 2y + x - 19 = 0 . The point D is the intersection of L_{1} and L_{2} (e) Find the coordinates of d The length of MDis * (sqrt(45))/2 () Write down the length of MD correct to five significant figures. The point B is such that ABCD is a rhombus. (g) Find the area of ABCD
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter4: Polynomial And Rational Functions
Section4.1: Quadratic Functions
Problem 69E
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The line L_{1}; 2y - x - 7 = 0 and is shown on the diagram
The point A has coordinates (1, 4) . (a)Show that A lies on L_{1} The point C has coordinates (5, 12) . Mis the midpoint of AC.
(b)Find the coordinates of M.
(c)Find the length of AC . The straight line, L_{2} , is perpendicular to AC and passes through M.
(d) Show that the equation of L_{2} is 2y + x - 19 = 0 . The point D is the intersection of L_{1} and L_{2}
(e) Find the coordinates of d
The length of MDis * (sqrt(45))/2 ()
Write down the length of MD correct to five significant figures. The point B is such that ABCD is a rhombus.
(g) Find the area of ABCD
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The line L, has equation 2y-x-7=0 and is shown on the diagram.
The point A has coordinates (1.4).
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