Question: A right triangle in the first quadrant has the coordinate axes as sides, and the hypotenuse passes through the point (1, 8). Find the vertices

A right triangle in the first quadrant has the coordinate axes as sides, and the hypotenuse passes through the point (1, 8). Find the vertices of the triangle such that the length of the hypotenuse is minimum.

Step by Step Solution

★★★★★

3.36 Rating (159 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

You have points 0 y x 0 and 18 So y 8 08 01 x 1 ... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Calculus 10th Edition Questions!

A right triangle is formed in the first quadrant by the x- and y-axes and a line through the point (2, 1) (see figure). Write the area A of the triangle as a function of x, and determine the domain...

A position vector in the first quadrant has an x-component of 8 m and a magnitude of 10 m. What is the value of its y component?

The region in the first quadrant bounded by x = 0, y = sin (x2), and y = cos(x2) is revolved about the y-axis. Find the volume of the resulting solid.

a right triangle in the first quadrant has the coordinate axes as sides and the hypotenuse passes through the point (1,8). Find the vertices of the triangle such that the length of the hypotenuse is...

Find the area of the right angled triangle formed by the tangent to the graph y=1/x at any point on the curve in the first quadrant and the coordinate axes. (The answer is a constant number.)

Homework 12 Name: Show all work. You should avoid calculator usage unless you are using it to check your work. Also, you should be doing your work in pencil. Fundamental Questions 1) State the...

1. The vector starts at the point and ends at the point (a) The component form of this vector is , (b) Compute the magnitude (c) The unit vector parallel to Note: to enter a vector 2. Suppose vectors...

Question 1(Multiple Choice Worth 4 points) Which integral gives the area of the region in the first quadrant bounded by the axes, y = ex, x = ey, and the line x = 4? O jexax + jin ( * ) dx Ojexax + (...

Pick up a corporation of your choice and go through the process of incorporation: 1. Which investment bank supported the process? 2. What are the detailed steps conducted by the corporation? 3. What...

Modify each sentence in the poem to end with a tag, except the last sentence. 2 Dance more. Think big. Live truly. So it goes. 3

People today talk a lot about tolerance. Is there a difference between tolerance and acceptance of differences, whether they are cultural, genderrelated, religious, or other? Explain the differences

Identify at least three main areas of accounting for accounting professionals. For each accounting area, identify at least three accounting-related opportunities in practice.

Zhihua and Pu are partners in a store in which they do all the work. They split the stores business profit equally (ignoring the opportunity cost of their own time in calculating this profit). Does...

Louisa is an avid cyclist who is currently working on her business degree. She normally rides an $ 800 bike to class. If Louisa locks her bike carefullylocks both wheelsthe chance of theft for the...

Starting in 2008, Medicare would not cover the cost of certain surgical mistakes, certain types of hospital-acquired infections, or other preventable mistakes (Liz Marlantes, Medicare Wont Cover...

a. Given i = 10%. Table Q4(a) H Purchasing Annual revenue in present term Annual maintenance Life cycle in yearly annotation Modification on the 0.1250 year in future term Repair on the 0.5Q year in...

Lottie plc has 1,000 of cash at to. It has identified four one-period investment projects as follows (assume that all projects exhibit constant returns to scale). Project Outlay at to Inflow at t1 |...

please explain in detail Mr. Jack, a valued client of MTB Ltd. applied for a Term Loan of CAD 40,000/- to purchase machineries for his new plastic manufacturing project. The manager of the branch...