The line ax 2y = 30 passes through the points A(10, 10) and B(b, 10b), where

Question:

The line ax − 2y = 30 passes through the points A(10, 10) and B(b, 10b), where a and b are constants.
a. Find the values of a and b.

b. Find the coordinates of the midpoint of AB.

c. Find the equation of the perpendicular bisector of the line AB.

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

Find the equation of the perpendicular bisector of the segment joining (1, 2) and (5, 4) (Figure 11). Hint: The midpoint Q of the segment joining (a, b) and (c, d) is (42 atcb+d y Perpendicular...
Find all points C on the line through A(l, -1, 2) and B = (2, 0, 1) such that | AC = 2 || BC |.
A line segment fitted to points whose coordinates are in the order (disposable income, personal consumption expenditure) for a nation passes through points (30, 32) and (57, 54), the numbers being in...
Please complete the Web case that covers material discussed in this chapter at www.cengage.com/accounting/Gibson. Youll be using Thomson ONE Business School Edition, a powerful tool that combines a...
The data from Exercise 4.69 for average high and low temperatures in January for a random sample of 50 cities are on the WeissStats CD. a. Decide whether use of the linear correlation coefficient as...
Perit Industries has $100,000 to invest. The company is trying to decide between two alternative uses of the funds. The alternatives are: The working capital needed for project B will be released at...
Determine the resultant internal normal force acting on the cross section through point A in each column. In (a), segment BC weighs 180 lb ft and segment CD weighs 250 lb ft. In (b), the column has a...
The Wayne Manufacturing Company purchases a certain part from suppliers A, B, and C. Supplier A supplies 60% of the parts, B 30%, and C 10%. The quality of parts varies among the suppliers, with A,...
1.How have we manipulated electricity to get us to this point of target interactions? 2.Describe a bremsstrahlung target interaction. 3.Describe a characteristic target interaction. 4.The majority of...
Dry Quick (DQ) is a medium-sized, private manufacturing company located near Timmins, Ontario. DQ has a June 30 year-end. Your firm, Poivre & Sel (P&S), has recently been appointed as auditors forDQ....
The line l 1 passes through the points P(10, 1) and Q(2, 10). The line l 2 is parallel to l 1 and passes through the point (4, 1). The point R lies on l 2 , such that QR is perpendicular to l 2 ....
The coordinates of three points are A(5, 8), B(k, 5) and C(k, 4). Find the value of k if A, B and C are collinear.
How is group term life insurance taxed while the insured is alive?
Consider the following simple growth model: Y = Ket K = SY with a (0, 1), y > 0, s (0, 1). (a) Show that along a balanced growth path K and Y grow at the same rate g > 0. Compute g. (b) Define the...
i. ii. As a foreign exchange trader, you observe the following quotes for Tunisian Dinar (TND), South African Rand (ZAR) and U.S. Dollar (USD) today. Assume there are no transaction costs....
2) How long will it take a 5270-W motor to lift a 395-kg piano to a height of 61.0 m? A) 41.3 sec E) 22.0 sec C) 17.8 sec0 D) 44.8 sec B) 13.1 sec F) None of these
Audit Team Deliverable 2 Audit Manager Sharon Gallagher and Audit Senior Josh Thomas previously met with the Alpine Bags Ltd. Finance Director, Andrew Jones, to gain an understanding of the internal...
Tinytown. Tennessee has 140 residents. There are two firms servicing the town, ATT and Verizon. The "good" being sold is cell phone service with unlimited anytime minutes and a free phone. The...
A firm has the monthly production function where L is worker hours per month and K is square feet of manufacturing space. a. Does the firm's technology satisfy the Productive Inputs Principle? b....
Why do CPA firms sometimes use a combination of positive and negative confirmations on the same audit?
One hundred children were each asked whether they have brothers (B) and whether they have sisters (S). Their responses are given in the Venn diagram opposite. Find the probability that a randomly...
Two independent events are M and N. Given that P(M) = 0.75 and P(M N) = 0.21, find P(N).
Two ordinary fair dice are rolled. Using a possibility diagram, find the probability of obtaining: a. Two 6s b. Two even numbers c. Two numbers whose product is 6.
How do organizational change efforts reconcile the tension between innovation imperatives and the need for operational stability and continuity ?
Reinterpret the buyer and seller in the double auction as a firm that knows a worker's marginal product (m) and a worker who knows his or her outside opportunity (v), respectively. In this context,...
We understand your financial aid (as assessed on the FAFSA) may not fully explain your financial circumstances. With that in mind, elaborate on the specifics of the financial circumstances impacting...

The line ax 2y = 30 passes through the points A(10, 10) and B(b, 10b), where

Question:

Step by Step Answer:

a Since the line passes through point A10 10 we have a10 210 30 ...View the full answer

Cambridge International AS And A Level Mathematics Pure Mathematics 1 Coursebook

Students also viewed these Mathematics questions