Question

In: Math

Type or paste question here ax+by+c=0.ax+by+c=0. Let (s′,t′)(s′,t′) be the reflection of the point (s,t)(s,t) in...

Type or paste question here

ax+by+c=0.ax+by+c=0.

Let (s′,t′)(s′,t′) be the reflection of the point (s,t)(s,t) in ℓℓ. Find a formula that computes the coordinates of (s′,t′)(s′,t′) if one knows the numbers s,t,a,bs,t,a,b and cc. Your formula should depend on the variables s,t,a,bs,t,a,b and cc. It should work for arbitrary values of s,t,a,bs,t,a,b and cc as long as (a,b)≠(0,0)(a,b)≠(0,0). Its output should be a point.

Solutions

Expert Solution


Related Solutions

Type or paste question here Fill in the empty cells and the values required in the...
Type or paste question here Fill in the empty cells and the values required in the last row of the table. These values will help you answer subsequent questions and calculate the Pearson’s r and the linear regression equation. (2 decimals) X Y ()( 3 3 -2.00 -4.00 4.00 16.00 8.00 6 9 1.00 2.00 1.00 4.00 2.00 5 8 0.00 1.00 0.00 1.00 0.00 4 3 -1.00 -4.00 1.00 16.00 4.00 7 10 2.00 3.00 4.00 9.00 6.00 5...
Type or paste question here explain the components of the single index model, linking diversifiable and...
Type or paste question here explain the components of the single index model, linking diversifiable and systematic risk to your answer. Is the full covariance efficient frontier or the index model efficient frontier better?
Type or paste question here Kipmar Company produces a molded briefcase that is distributed to luggage...
Type or paste question here Kipmar Company produces a molded briefcase that is distributed to luggage stores. The following operating data for the current year has been accumulated for planning purposes. Sales price $                                   80.00 Variable cost of goods sold                                       24.00 Variable selling expenses                                       21.20 Variable administrative expenses                                         6.00 Annual fixed expenses Overhead $                           7,800,000 Selling expenses                               1,550,000 Administrative expenses                               3,250,000 Kipmar can produce 1.5 million cases a year. The projected net income for the...
Type or paste question here Consider the following information on a portfolio of three stocks: State...
Type or paste question here Consider the following information on a portfolio of three stocks: State of Economy Probability of State of Economy Stock A Rate of Return Stock B Rate of Return Stock C Rate of Return   Boom .13 .04 .34 .58   Normal .53 .12 .14 .22   Bust .34 .18 –.13 –.37 a. If your portfolio is invested 36 percent each in A and B and 28 percent in C, what is the portfolio’s expected return, the variance, and...
Let {W(t),t≥0} be a standard Brownian motion and let M(t)=max0≤s≤tW(s). Find P(M(9)≥3).
Let {W(t),t≥0} be a standard Brownian motion and let M(t)=max0≤s≤tW(s). Find P(M(9)≥3).
Type or paste question here How do you trade interest rate futures and why?
Type or paste question here How do you trade interest rate futures and why?
When t = 0, the position of a point is s= 6m, and its velocity is...
When t = 0, the position of a point is s= 6m, and its velocity is v= 2m/s. From t = 0 to t= 6s, the acceleration of the point is a = 2+ 2t2 m/s2 .From t = 6s until it comes to rest, its acceleration is a = -4m/s2 a.) What is the total time of travel? b.) What total distance does the point move?
Let L = {x = a r b s c t | r + s =...
Let L = {x = a r b s c t | r + s = t, r, s, t ≥ 0}. Give the simplest proof you can that L is not regular using the pumping lemma.
Type or paste question here Commerce Bank makes a $1,000,000 business term loan. All interest and...
Type or paste question here Commerce Bank makes a $1,000,000 business term loan. All interest and principal will be paid after one year. The bank offers a 4% prime rate to its best customers. Based on the loan officer’s credit analysis, the appropriate risk premium for this business borrower is estimated to be 2%. The bank charges a 0.2% origination fee to cover costs incurred during the underwriting and some of the overhead expenses. The borrower is required to keep...
Type or paste question here 3Objectives•To determine the relationship between kinetic, potential, and total mechanical energy...
Type or paste question here 3Objectives•To determine the relationship between kinetic, potential, and total mechanical energy for a cart on an incline.•To determine the work done by friction on a sliding cart.•To show that energy is not conserved when a non-conservative force, like friction, is acting.Procedure: Energy of a cart without friction In this experiment, we will assume that friction is negligible, and that there are no non-conservative forces at work.The motion of a cart rolling down an incline will...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT