a) Show that the lines with equations 2y = x + 3 and 2x + y =

Question:

a) Show that the lines with equations 2y = x + 3 and 2x + y = 9 are perpendicular.

b) Find their point of intersection.

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Complete Pure Mathematics 1 For Cambridge International AS & A Level

ISBN: 9780198427438

2nd Edition

Authors: Jean Linsky, Brian Western, James Nicholson

See More Books

Question Posted: Apr 13, 2023 10:49 AM

See More Questions

Show that the lines with equations 2x - 3y = 1 and 3x + 2y = 4 are perpendicular.
The lines with equations 6x - 3y = 9 and y = 4x + b have the same y-intercept. What is the value of b?
With respect to a fixed origin O, the lines L1 and L2 are given by the equations L1:r=(6,-3,-2)+lamda(-1,2,3) and L2:r= (-5,15,3)+u(2,-3,1) where lamda and u are scalar parameters. ( a) Show that L1...
A water sprinkler sprays water over a distance of 30 feet while rotating through an angle of 135. What area of lawn receives water? 135 30 ft
(a) By hand, draw a scatter diagram treating x as the explanatory variable and y as the response variable. (b) Select two points from the scatter diagram and nd the equation of the line containing...
The number of materials equivalent units of production in the June 30 Finishing Department inventory, assuming that the first-in, first-out method is used to cost inventories and materials were added...
Weekly salaries (in dollars) for a sample of construction workers are listed. (a) Find the mean, median, and mode of the salaries. Which best describes a typical salary? (b) Find the range, variance,...
A machine is purchased January 1 at a cost of $59,000. It is expected to produce 130,000 units and have a salvage value of $3,000 at the end of its useful life. Units produced are as follows: Year 1...
Find the net-present-value analysis of the school board's two main alternatives: (a) continue to use the full-size buses on regular routes or (b) purchase the minibuses. Should the minibuses be...
Consider the following income tax footnote information for Oracle for the fiscal year ended May 31, 2019 (fiscal year 2019). The following is a geographical breakdown of income before the provision...
The diagram shows a kite PQRS. The point P is (3, 2), the point Q is (4, 1), point Ris (1, 8) and the point S is (11, 7). The diagonal SQ bisects PR at M. Show that the ratio SM: MQ = 2:1 S(-11,-7)...
M is the mid-point of the line joining the points A(5, 2) and B(3, 8). Given that a point C has the coordinates (1, 4), find a) The gradient of the line MC b) The length of the line MC.
List three test cases to test the class members of the trust pattern.
3) What are the tax consequences if gifted his life insurance policy on 12/31/23: John would like to know the tax consequences and filing requirements if he gifts his life insurance equally to his...
You work for Procter and Gamble (P&G). One of the brands you manufacture is Tide Detergent. It sells for $10 per bottle at the grocery store. Chens Enterprises Corp. is P&G's Canadian distributor,...
uppose the price of a non-dividend paying stock is $50. There exist European call and put options on the stock with one year to maturity and the strike price $50. The call is worth $4.5 and the put...
You have access to a small professional telescope that is able to record the ultraviolet through infrared spectrum of a star in the constellation of Orion. You determine that the wavelength of light...
I need help to develop a $40,000 mutual fund portfolio. Using today's actual funds and actual quoted prices, invest as much of the $40,000 as you possibly can, and be specific! Briefly describe the...
Write a decision rule that your friends (who have not had the good fortune to take this course) can use to decide whether to select a longer or a shorter mortgage amortization period.
Tanaka Company's cost and production data for two recent months included the following: March April Production (units).........300................600 Rent.....................$1,800............$1,800...
Compute the standard deviation and range for the duration of hospitalization for the 25 patients. TABLE 2.13 Hospltal-stay data First Received Duration First WBC Received bacterial Ser (x 10)...
It is of clinical interest to know if the duration of hospitalization is affected by whether a patient has received antibiotics. Answer this question descriptively using either numeric or graphic...
Suppose the scale for a data set is changed by multiplying each observation by a positive constant? 1. What is the effect on the median? 2. What is the effect on the mode? 3. What is the effect on...
You obtained job-related information about the HR assistant position from O*Net. Answer the following sections based on that information. QUESTIONS: The following is the list of questions included in...
Marcia Stanton is the new manager of the materials storeroom for Taylor Manufacturing. Marcia has been asked to estimate future monthly purchase costs for part #696, used in two of Taylor's products....
Miller Company's contribution format income statement for the most recent month is shown below: Sales (37,000 units) Variable expenses Contribution margin Fixed expenses Net operating income...

a) Show that the lines with equations 2y = x + 3 and 2x + y =

Question:

Step by Step Answer:

a To show that the lines with equations 2y x 3 and 2x y 9 are perpendicular we can show ...View the full answer

Complete Pure Mathematics 1 For Cambridge International AS & A Level

Students also viewed these Mathematics questions