The line l, with equation y = 3/4 x, bisects the angle between the x-axis and the

Question:

The line l, with equation y = 3/4 x, bisects the angle between the x-axis and the line y = mx, m > 0. Given that the scales on each axis are the same, and that l makes an angle θ with the x-axis,

a. Write down the value of tan θ.

b. Show that m = 24/7

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

Step by Step Answer:

Related Book For book-img-for-question

Pearson Edexcel A Level Mathematics Pure Mathematics Year 2

ISBN: 9781292183404

1st Edition

Authors: Greg Attwood, Jack Barraclough, Ian Bettison, David Goldberg, Alistair Macpherson, Joe Petran

See More Books

Question Posted: Aug 11, 2023 07:11 AM

See More Questions

The diagram shows part of the curve with equation y = p + 10x x 2 , where p is a constant, and part of the line l with equation y = qx + 25, where q is a constant. The line l cuts the curve at the...
The following additional information is available for the Dr. Ivan and Irene Incisor family from Chapters 1-5. Ivan's grandfather died and left a portfolio of municipal bonds. In 2012, they pay Ivan...
A GT cell will machine the components for a family of parts. The parts come in several different sizes and the cell will be designed to quickly change over from one size to the next. This will be...
Hooghly Products manufactures a silicone paste wax that goes through three processing departments- Cracking, Blending, and Packing. All raw materials are introduced at the start of work in the...
Define the differences between judicial restraint and judicial activism. Which one would be considered liberal and which one would be conservative.
The following information is from Apples 2018 annual income statement and balance sheet (numbers are in $ millions). Use it to compute Apples cash conversion cycle. Sales Cost of Goods Sold Accounts...
At a 0.01, perform a chi-square indepen- dence test to determine whether the variables response and gender are independent. What can you conclude? In Exercises 4 and 5, perform a chi-square...
1. Speculate as to the purpose of the share swap between BP and Rosneft. 2. What is the purpose of the two-year lockup period during which neither partner can sell its stock? How might the lockup...
https://cam-05-0 Mail-Kmberly RM Question 9 21 ABC 9. Company A and Company B have the same level of Net Income. Company A has a higher proportion of fixed expenses to variable expenses than Company...
In PQR, PQ = 3 cm, PR = 6 cm, QR = 5 cm and QPR = 2. a. Use the cosine rule to show that cos 2 = 5/9 b. Hence find the exact value of sin .
Given that cos x + sin x = m and cos x sin x = n, where m and n are constants, write down, in terms of m and n, the value of cos 2x.
The contingency table shows the results of a random sample of individuals by gender and type of vehicle owned. At = 0.05, can you conclude that gender is related to the type of vehicle owned? (a)...
What is an incident in which a famous person wore or used a product (not as part of a paid endorsement or ad) and it caused a buying frenzy. Explain how the manufacturer or service provider reacted
What is a "heavyweight project team" and how does it differ from the traditional approach used for organizing development projects at Eli Lilly?This consists of two issues:First, an evaluation of the...
Consider the closed-loop system shown in Figure P11.6, where the transfer function of the process is that of a second-order system, i.e. k Ts +25TS +1 G,(s)= Y sp(s) E(s) U(s) Y(s) Ge(s) Gp(s) Figure...
1. Do you feel we have come along way with inventory in 10 years? 2. How did COVID affect the supply chain in your current hospital? Were any of the inventory systems/topics used, or relevant or...
Identify at least one way in which your writing skills have improved this semester and reflect on how you might use this skill in your career. You can include research, presentation, and report...
On June 1, 2018, Josh's Restaurant decides to invest excess cash of $54,400 from the tourist season by purchasing a Jackrabbit, Inc. bond at face value. At year end, December 31, 2018, Jackrabbit's...
During the year land was revalued and the surplus reported as Revaluation surplus; and an asset costing 80,000, written down to 38,000, was sold for 40,000. Identify the cost of any non-current...
Suppose the true mean increase in BMI among heavy-smoking women 6 years after quitting is 3.0 kg/m 2 with a standard deviation of 2.5 kg/m 2 . The comparable true mean increase in BMI among...
Assuming that the distribution of IGF-1 is approximately normal, what test can be used to compare the mean IGF-1 obtained from the two sources? Hematology Insulin-like growth factor 1 (IGF-1) is a...
Perform the test in Problem 8.134, and report a p-value (two-tailed)? Hematology Insulin-like growth factor 1 (IGF-1) is a hormone that plays an important role in childhood growth and may be...
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...

The line l, with equation y = 3/4 x, bisects the angle between the x-axis and the

Question:

Step by Step Answer:

a 314 b ...View the full answer

Pearson Edexcel A Level Mathematics Pure Mathematics Year 2

Students also viewed these Mathematics questions