A right triangle is formed in the first quadrant by the x- and y-axes and a...

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A right triangle is formed in the first quadrant by the x- and y-axes and a line through the point (1, 2) (see figure below). (0, y) (1.2) 1+ (x, 0) 1 2 3 4 (a) Write the length L of the hypotenuse as a function of x. L = ,x> 1 (b) Use a graphing utility to approximate x graphically such that the length of the hypotenuse is a minimum. L 10 2 6 8 10 0 2 -10 2 8 10 2 8 10 Find the value of x that produces the minimum value L. (Round your answer to three decimal places.) x= (c) Find the vertices of the triangle such that its area is a minimum. (Order your answers from smallest to largest x, then from smallest to largest y.) (x, y)=([ (x, y) = ( (x, y)=( A right triangle is formed in the first quadrant by the x- and y-axes and a line through the point (1, 2) (see figure below). (0, y) (1.2) 1+ (x, 0) 1 2 3 4 (a) Write the length L of the hypotenuse as a function of x. L = ,x> 1 (b) Use a graphing utility to approximate x graphically such that the length of the hypotenuse is a minimum. L 10 2 6 8 10 0 2 -10 2 8 10 2 8 10 Find the value of x that produces the minimum value L. (Round your answer to three decimal places.) x= (c) Find the vertices of the triangle such that its area is a minimum. (Order your answers from smallest to largest x, then from smallest to largest y.) (x, y)=([ (x, y) = ( (x, y)=(