A is the point (a, 3) and B is the point (4, b). The length of the

Question:

A is the point (a, 3) and B is the point (4, b).

The length of the line segment AB is 4√5 units and the gradient is −1/2.

Find the possible values of a and b.

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

Step by Step Answer:

Related Book For book-img-for-question

Cambridge International AS And A Level Mathematics Pure Mathematics 1 Coursebook

ISBN: 9781108407144

1st Edition

Authors: Sue Pemberton, Julian Gilbey

See More Books

Question Posted: Mar 09, 2023 05:43 AM

See More Questions

A is the point (-2, 0) and B is the point (2, 6). Find the point C on the x-axis such that angle ABC is 90.
A is the point (0, 8) and B is the point (8, 6). Find the point C on the y-axis such that angle ABC is 90.
A is the point (-4, 5) and B is the point (5, 8). The perpendicular to the line AB at the point A crosses the y-axis at the point C. a. Find the coordinates of C. b. Find the area of triangle ABC.
In Problems 25 54, solve each system. Use any method you wish. 2xxy + y = 8 xy = 4
Following are the age and price data for Corvettes from Exercises 4.51 and 4.89. a. Obtain the linear correlation coefficient. b. Interpret the value of r in terms of the linear relationship between...
Identify and briefly summarize the major historical transitions of human civilizations.
13. A project has certain cash flows today of $$1$, growing at 5% per year for 10 years, after which the cash flow is constant. The risk-free rate is 5%. The project costs $$20$ and cash flows...
Duval Ford, LLC, sold a new Ford F-250 pick-up truck to David Sweat. Before taking delivery, Sweat ordered a lift kit to be installed on the truck by a Duval subcontractor. Sweat also replaced the...
The amount of interest earned is $ (Round to the nearest cent as needed.)
Let A = 2xyax + xzay - yaz. Evaluate A dv over: (a) A rectangular region 0 < x < 2, 0 < y < 2, 0 < z < 2 (b) A spherical region r < 4
The distance between two points, P(a, 1) and Q(5, a), is 4 5. Find the two possible values of a.
Show that the line 3x + y = 6 is a tangent to the circle x 2 + y 2 + 4x + 16y + 28 = 0.
Of the following sounds, which is most likely to have a sound level of 60 dB: a rock concert, the turning of a page in this textbook, normal conversation, or a cheering crowd at a football game?
Part 2 One Stop Electrical Shop are merchandisers of household fixtures & fittings. The business began the last quarter of 2020 (October to December) with 25 Starburst Wall Clocks at a total cost of...
A species of butterfly has three subspecies A, B, and C. A scientist is trying to classify observed. specimens into these subspecies based on the color of their wings, which can be blue, green, pink,...
Stock during the year were sold for $8 per share. On December 31 , Portland had no remaining treasury stock. Required: Prepare the necessary journal entries to record any transactions associated with...
2) 20 pts. A 2-kg block rests on a wedge that has a coefficient of friction between the wedge and block of 0.3. The system accelerated to the right. Determine the maximum acceleration of the system...
ABC Ltd. is concerning about its poor performance and considering whether or not dropping the production and sells of product R, which incurs losses of Birr 4000. Additional information: The salaries...
Jordan directs her salespeople to increase the company's share of wallet. Jordan is directing her salespeople to a. Focus on increasing sales to their best customers. b. Focus on male consumers, and...
A summary of changes in Pen Corporation's Investment in Sam account from January 1, 2011, to December 31, 2013, follows (in thousands): ADDITIONAL INFORMATION 1. Pen acquired its 80 percent interest...
Rishi and Daisy take the same seven tests in Mathematics, and both students marks improve on successive tests. Their percentage marks are as follows. Rishis marks ....................................
Two days before a skiing competition, the depths of snow, x metres, at 32 points on the course were measured and it was discovered that the numerical values of x and x 2 were equal. a. Given that the...
The times spent, in minutes, by 30 girls and by 40 boys on an assignment are detailed in the following table. a. For the boys and for the girls, calculate estimates of the mean and standard...
Suppose I have computed the cost of carbon per mile for my car at 0 . 0 1 2 per mile. Assume that the interest rate is 4 % and that I drive the car 2 8 , 0 0 0 miles per year. What is the present...
Imagine that in stable growth period, the firm earns ROIC of 10% and has after tax EBIT of 200 and reinvestment $ of 40. What is the steady state growth rate? 20% O 10% 2%
Tanner-UNF Corporation acquired as a long-term investment $160 million of 5.0% bonds, dated July 1, on July 1, 2021. Company management has the positive intent and ability to hold the bonds until...

A is the point (a, 3) and B is the point (4, b). The length of the

Question:

Step by Step Answer:

The distance between two points Pa 1 and Q5 a dPQ sqrta 12 5 a2 dPQ sqrta 12 a ...View the full answer

Cambridge International AS And A Level Mathematics Pure Mathematics 1 Coursebook

Students also viewed these Mathematics questions