Question: Fix one vertex at (0,a) in the (x,y)-plane and move another vertex along the x-axis. Show that the locus of the third vertex (x,y)

Fix one vertex at (0,a) in the (x,y)-plane and move another vertex

Fix one vertex at (0,a) in the (x,y)-plane and move another vertex along the x-axis. Show that the locus of the third vertex (x,y) of an equilateral triangle consists of 2 lines, y + a = v3x

Step by Step Solution

★★★★★

3.52 Rating (152 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

3o lution Considen lWe have An equila teal toianyle ABC biauyle ABC AB ... 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 Physics Questions!

The actor Wesley Snipes was indicted in 2006 for not filing tax returns for the years 1999 through 2004 and filing refund claims for approximately $12 million for 1996 and 1997, claiming that only...

Consider the two ellipses in the x y plane given by the equations (a) Use the ezplot command to plot the two ellipses in the same figure. (b) Determine the coordinates of the points where the...

An equilateral triangle has a point charge + q at each of the three vertices (A, B, C). Another point charge Q is placed at D, the midpoint of the side BC. Solve for Q if the total electric force on...

A particle can move along only an x axis, where conservative forces act on it (Figure and the following table). The particle is released at x = 5.00 m with a kinetic energy of K = 14.0 J and a...

In 2004, Ashley Revell sold all of his possessions and gambled his entire wealth of $136,000 on one spin of a roulette wheel. He bet on Red. If the ball landed on red, he would double his money and...

(a) Calculate ((1/|r 1 - r 2 |)) for the state 0 (Equation 5.41). Do the d 3 r 2 integral first, using spherical coordinates, and setting the polar axis along r 1 , so that The 2 integral is easy,...

a. Show that the equation x 4 + 2x 2 - 2 = 0 has exactly one solution on [0, 1]. b. Find the solution to as many decimal places as you can.

Consider an item where the assumptions of Section 5.3.1 are reasonable (including L = 0), but with one important exception, namely that there is a significant chance of the perishability of material...

Graph the following quadratic functions and identify the vertex and axis of each: (a) f(x) = x2 2 First select some representative values of x and solve for f(x). Then, using y for f(x), plot the...

Disney prices. Continue the study of Disney closing prices from Exercise 13.1 (page 651). (a) Using software, create a lag one variable for prices. Make a scatterplot of prices plotted against the...

Given the following cash flows for a capital project in Mango Cloths, calculate its payback period and discounted payback period. The required rate of return is 8%. Year 0 1 2 3 4 5 Cash Flow-50,000...

The uniform hoop of weight W is suspended from the peg at A and a horizontal force P is slowly applied at B. If the hoop begins to slip at A when the angle is , determine the coefficient of static...

Draw the structure for a. Glyceryl trilaurate b. Glyceryl palmitoleostearate

Budgets are used to ________. Question 3Select one: A. formulate company strategies B. calculate the income tax liability C. communicate with external stakeholders D. increase the book value of its...

how long will it take to drive $1045 km at 95 km per hour. If you take a one hour break after every 6 hours?

Determine the force in each member of the Pratt bridge truss shown. State whether each member is in tension or compression. Assume that the load at G has been removed. D 4 m Ao 6 KN 6 KN 6 KN

3 + 7i Separate into real and imaginary Parts? 2 +

Q3. [1 Find the inverse A 2 1 01 1 li -3 5]

The pilot of a light airplane with an airspeed of 200 km/h wants to fly due west. There is a strong wind of 120 km/h blowing from the north. If the pilot points the nose of the airplane north of west...

Multiple Select Question Select all that apply At some point during their development, all vertebrate embryos exhibit which of the following? Multiple select question. a postanal tail paired...

I would be happy if you can show me an example code which satisfies the following conditions in Python 3. Thank you very much for your help. pdf file: Tessellations Assignment Overview This...

Complete the following Carolina Biological Lab: Kinematics. Please read the Distance Learning Lab Safety Agreement. By taking part in these labs, you agree to the terms in the Distance Learning...

Briefly describe ASCII and Unicode and draw attention to any relationship between them. [3 marks] (b) Briefly explain what a Reader is in the context of reading characters from data. [3 marks] A...

\fThecoordinatesoftheverticesofapolygonare(5, 1)(1, 3)(2, 3)(2, 2).and (3, 1). What is the perimeter of the polygon? Enter your answer as a decimal. rounded to the nearest tenth of a unit. in the...

Calculus 3 Sections 12.1 and 12.2 Reading Assignment: 3D Coordinates and Vectors Answer Only Exercise 1 by using a screenshot provided Calculus Pearson textbook. Make sure you read these three...

Please solve the circle. SECTION 1.6 Mathematical Models: Building Functions 109 A rectangle has one corner in quadrant I on the graph of y = 16 - x, another at the origin, a third on the positive...