Prove the perpendicular property. Without loss of generality, assume that both lines pass through the origin. Use

Question:

Prove the perpendicular property. Without loss of generality, assume that both lines pass through the origin. Use the point-slope formula, the Pythagorean theorem, and Fig. 12.

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

Step by Step Answer:

Related Book For book-img-for-question

Finite Mathematics and Its Applications

ISBN: 978-0134768632

12th edition

Authors: Larry J. Goldstein, David I. Schneider, Martha J. Siegel, Steven Hair

See More Books

Question Posted: Feb 12, 2018 07:57 AM

See More Questions

Prove using the notion of without loss of generality that min(x, y) = (x + y |x y|)/2 and max(x, y) = (x + y + |x y|)/2 whenever x and y are real numbers.
Here you will explore the relationship among three lines that pass through the origin (0, 0), where the slope of one of the lines is the reciprocal of the slope of one of the other lines. a. By hand,...
In Exercises 1 and 2, use the figure, which shows two lines whose equations are y1 = m1x + b1 and y2 = m2x + b2. Assume that both lines have positive slopes. Derive a formula for the angle between...
2.) A truck with axle loads of W = 19.6kN and W2 = 78.6kN on a wheel base of d = 4.3m rolls across the beam shown in the figure. Determine the following: 3m 25 m 22 m a.) Draw the influence line for...
Daltons law of partial pressures states that the total pressure of a mixture of gases is equal to the sum of the partial pressures of gases making up the mixture. Give a convincing argument for this...
What actions could Paul have taken to prevent the problem?
10. Suppose an option knocks in at H1> S, and knocks out at H2 >H1. Suppose that K H1, it is not possible to hit H2 without hitting H1): Payoff = 0 if H1 not hit max(0, ST K) if H1 hit and H2 not...
Hybrid cars are touted as a green alternative; however, the financial aspects of hybrid ownership are not as clear. Consider the 2010 Lexus RX 450h, which had a list price of $5,565 (including tax...
As an auditor, you have discovered the following problems with the accounting system of Jefferson Retailers. For each of the following occurrences, tell which of the five internal control activities...
Locate the centroid (x,y) of the shaded area. y 1 in. 3 in. 3 in- -3 in.-
Prove the parallel property. If y = mx + b and y = m'x + b' are the equations of two lines, then the two lines have a point in common if and only if the equation mx + b = m'x + b' has a solution for...
Figure 13 gives the conversion of temperatures from Celsius to Fahrenheit. What is the Fahrenheit equivalent of 30°C? 212- Fahrenheit 32- 100 Celsius
If you were the president of your country and you felt that government spending must be cut, in which specific category of spending would you recommend the largest cuts be made? Discuss the costs and...
Leslie Sporting Goods is a locally owned store that specializes in printing team jerseys. The majority of its business comes from orders for various local teams and organizations. While Leslie's...
Euclid acquires a 7-year class asset on May 9, 2022, for $153,000 (the only asset acquired during the year). Euclid does not elect immediate expensing under 179. He does not claim any available...
Williams & Sons last year reported sales of $10 million, cost of goods sold (COGS) of $8 million, and an inventory turnover ratio of 2. The company is now adopting a new inventory system. If the new...
A ceramic manufacturer promised to deliver 25 crates of vases to a Japanese importer under a "CFR" INTERCOM agreement. During transit, however, a large number of vases were broken. The buyer wants to...
A company receives $364, of which $23 is for sales tax. The journal entry to record the sale would include a ?
The points A(2, 3) and B(m, 11), are 10 units apart. Which of the following equations could describe the line that contains points A and B? A) 8x + 6y = 11 B) 8x 6y = 2 C) 6x + 8y = 36 D) 6x 8y = 12
Find the work done in pumping all the oil (density S = 50 pounds per cubic foot) over the edge of a cylindrical tank that stands on one of its bases. Assume that the radius of the base is 4 feet, the...
A class of 30 students is given an exam. The instructor wants to know how the class performed, so they calculate the mean exam grade for the entire class. Determine whether the quantity described is...
Six people check their coats at a restaurants coat-check counter. If the attendant returns the coats to the people at random, what is the probability that exactly five of the people receive the...
Joe feels that the probability of his getting an A in history is .7, the probability of getting an A in psychology is .8, and the probability of getting an A in history or psychology is .9. What is...
Show that the convexity for a zero coupon bond with m payments per year is (m) n(n + -)(1+ m m
Abdul Canarte , a Central Bank economist, noticed that the total group purchasing basket of goods (CPI) has gone from $149,740.00 to $344,460.00 in 8 years. With monthly compounding, what is the...
ABC Corporation expects sales next year to be $50,000,000. Inventory and accounts receivable (combined) will increase $8,000,000 to accommodate this sales level. The company has a profit margin of 6...

Prove the perpendicular property. Without loss of generality, assume that both lines pass through the origin. Use

Question:

l2 a тy -т2

Step by Step Answer:

l 1 y m 1 x l 2 y m 2 x So the vertical segment lies on x 1 Then 1 2 m ...View the full answer

Finite Mathematics and Its Applications

Students also viewed these Statistics questions