Triangle ABC has vertices at A(7, 8), B(3, k) and C(8, 5). Given that AB = 2BC,

Question:

Triangle ABC has vertices at A(−7, 8), B(3, k) and C(8, 5). Given that AB = 2BC, find the value of k.

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

Triangle ABC has vertices at A(6, 3), B(3, 5) and C(1, 4). Show that triangle ABC is isosceles and find the area of this triangle.
Find the value of k that makes f(x) = kx (5 - x), 0 x 5, a valid PDF.
Find the value of k that makes f(x) = kx2 (5 - x)2, 0 x 5, a valid PDF.
For each polynomial function, find (a) (-1), (b) (2), and (c) (0). f(x) = x + 5x
According to Hooke's law for springs, developed by Robert Hooke (1635-1703), the force exerted by a spring that has been compressed to a length x is given by the formula F = k(x x0), where x0 is the...
22. Explain when an expenditure should be capitalized based upon accounting principles. From time to time, it is suggested that all business expenditures should be deducted when incurred for tax...
20. Consider again the Netscape PEPS discussed in this chapter and assume the following: the price of Netscape is $39.25, Netscape is not expected to pay dividends, the interest rate is 7%, and the...
a. Identify the physical control weaknesses depicted in the flowchart for Problem 6. b. Describe the IT controls that should be in place in thissystem. Customer Sales Department Billing Accounts...
Cash Petty cash Accounts receivable Allowance for doubtful accounts Supplies Prepaid rent Merchandise Inventory (23 @ $200) Equipment Van Accumulated depreciation Salaries payable Common stock...
The client, Mrs. Tatum, purchased a new microwave oven from Inki Appliances Company. No written or oral warranty was given when the sale was made. The microwave stopped working one week after Mrs....
A is the point (4, 6) and B is the point (12, 10). The perpendicular bisector of AB intersects the x-axis at C and the y-axis at D. Find the length of CD.
The line l 1 has equation 2x + 5y = 10. The line l 2 passes through the point A(9, 6) and is perpendicular to the line l 1 . a. Find the equation of the line l 2 . b. Given that the lines l 1 and l 2...
Solve each equation using the square root property or completing the square. 2x-3x = -1
2. (40 marks) Solve for y(t) such that y" - 6y' + 15y = 2 sin(3t),
6. Determine output class A{ ); } public static void main(String args[]) { int x; x = 10; if (x == 10) { int y = 20; System.out.print ("x and y: y = x*2; + y); } y = 100; } System.out.print ("x and...
Anita and Bonita have been roommates for the past two years while they've been in graduate school. Now that they're graduating, they are each planning to move to different cities. Their one joint...
To what extent are business ethics assumed, or taken for granted, by people in businesses?
Empowered by what he has learned in this class about gender, Brady makes a friendly wager with his girfriend, Marlisa: "I bet I can guess how the men and women at the next table will behave during...
Provide a brief description of value-added selling. What economic forces have motivated companies to adopt value-added selling?
Calculate the number of neutrons of 239Pu.
In a survey, adults were asked to answer yes or no to the question Do you regularly watch the evening TV news? Some of the results from the survey are detailed in the Venn diagram opposite. One adult...
There is a 43% chance that Riya meets her friend Jasmine when she travels to work. Given that Riya walks to work and does not meet Jasmine 30% of the time, and that she travels to work by a different...
A game board is shown in the diagram. Players take turns to roll an ordinary fair die, then move their counters forward from start a number of squares equal to the number rolled with the die. If a...
you are analyzing the cost of debt for a firm. Do you know that the firms 14 year maturity, 7.8 Percent coupon bonds are selling at a price of $834. The Barnes pay interest semi annually. If these...
***Please answer the following using excel and showcasing the formulas/calculations used*** thank you so much Financial information on AAA Ltd. is shown below. AAA Ltd. Income Statement For the Year...
2. In an account Anh Paglinawan currently has $216,670.00. At a rate of 8.00% how long will it take for them to have $298,390.00 assuming semi-annually compounding? (Hint: compute the exact years, do...

Triangle ABC has vertices at A(7, 8), B(3, k) and C(8, 5). Given that AB = 2BC,

Question:

Step by Step Answer:

We can start by finding the lengths of AB and BC using the distance formula AB sqrt3 72 k 82 sqrt100 ...View the full answer

Cambridge International AS And A Level Mathematics Pure Mathematics 1 Coursebook

Students also viewed these Mathematics questions