math
posted by sarah .
A right triangle is formed in the first quadrant by the x and yaxes and a line through the point (2,3). Draw a figure that illustrates the problem.
What is the area of the triangle A as a function of the xintercept of the line?

math 
Steve
If the xintercept is at x=h, then we must have h>2 to fit the conditions.
Now we have two points, and our line is
(y3)/(x2) = (03)/(h2)
y = 3/(2h) * (x2)
at x=0, y = 6/(h2)
the area is thus 1/2 xy = 1/2 h(6/(h2)) = 3h/(h2)
Respond to this Question
Similar Questions

Calc.
Find the area of the region bounded by the parabola y=x^2, the tangent line to this parabola at (1,1) and the xaxis. I don't really get what this question is asking. It looks like the area of right triangle to me...try the graph, … 
Calculus
I asked for help on a question yesterday and I got really good help and I was wondering if someone could help with this problem too. This is the question: Find an equation of the line through the point (1,3) that cuts off the least … 
calculus
If a tangent line is drawn to the parabola y = 3  x^2 at any point on the curve in the first quadrant, a triangle is formed with the axes. At what point on the curve should the tangent be drawn to form a triangle of least are? 
Calculus
If a tangent line is drawn to the parabola y = 3  x^2 at any point on the curve in the first quadrant, a triangle is formed with the axes. At what point on the curve should the tangent be drawn to form a triangle of least area? 
Precalculus!
So I have this major assignment due, and I cant seem to figure this one out: A right triangle is formed in the first quadrant by the x and yaxes and a line through the point (5, 3). Write the length L of the hypotenuse as a function … 
college algebra
A triangle is bounded by the xand yaxes and must pass through P(2,2) a.) find the area of the triangle as a function of x (Hint: let C be the point (0,2) and D be the point (2,0). Use the fact that ACP and PDB are similar triangles.) … 
Math
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. 
calculus
a right triangle is formed in the first quadrant by the x and y axes and a line through the point (1,2). write the length of the hypotenuse as a function of x. find the vertices of the triangle such that its area is a minimum. 
Calculus
A right triangle is formed in the first quadrant by the x and yaxes and a line through the point (8,4). Write the length L of the hypotenuse as a function of x. Completely stuck came up with the sqrt(x^2+Y^2)=L, not sure what to … 
calculus
Find the point on the curve y =2/3 〖√(18x^2 )〗 (first quadrant) where a tangent line may be drawn so that the area of the triangle formed by the tangent line and the coordinate axes is a minimum.