Posted by Solta on Saturday, October 13, 2012 at 11:27pm.
A right triangle is formed in the first quadrant by the x and yaxes and a line through the point (3,2). write the length L of hypotenuse as a function of x.

Math  Reiny, Sunday, October 14, 2012 at 12:52am
Let the xintercept of the line be (x,0)
let the yintercept of the line be (0,y)
we have similar triangles, and by ratios ...
y/x = 3/(x2)
xy  2y = 3x
y(x2) = 3x
y = 3x/(x2)
L^2 = x^2 + y^2
= x^2 + [3x/(x2)]^2
= x^2 + 9x^2/(x^2  4x + 4)
Answer This Question
Related Questions
 calculus  a right triangle is formed in the first quadrant by the x and y ...
 Calculus  A right triangle is formed in the first quadrant by the x and y...
 Precalculus!  So I have this major assignment due, and I cant seem to figure ...
 math  A right triangle is formed in the first quadrant by the x and yaxes and...
 calculus  Find the point on the curve y =2/3 〖√(18x^2 )〗 (...
 MATH  1.Find the length of the hypotenuse of a right triangle with the legs of ...
 Math  1.Find the length of the hypotenuse of a right triangle with the legs of ...
 Calculus  If a tangent line is drawn to the parabola y = 3  x^2 at any point ...
 calculus  If a tangent line is drawn to the parabola y = 3  x^2 at any point ...
 Mathcheck my answers please :)  1.Find the length of the hypotenuse of a right...
More Related Questions