The points A(1, 2), B(7, 2) and C(k, 4), where k is a constant, are the vertices
Question:
The points A(−1, −2), B(7, 2) and C(k, 4), where k is a constant, are the vertices of △ABC. Angle ABC is a right angle.
a. Find the gradient of AB.
b. Calculate the value of k.
c. Find an equation of the straight line passing through B and C. Give your answer in the form ax + by + c = 0, where a, b and c are integers
d. Calculate the area of △ABC.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 100% (7 reviews)
a To find the gradient of AB we can use the formula Gradient change in ycoordinate change in xcoordi...View the full answer
Answered By
ROXAN VEGA
I have extensive hands-on experience and proficiency in assisting students in various subjects. During my tutoring sessions, I prioritize creating a supportive and engaging learning environment. I strive to understand each student's unique learning style and tailor my teaching methods accordingly. I am patient, empathetic, and skilled at breaking down complex concepts into simpler, more manageable parts. I encourage active participation and discussion, promoting critical thinking and problem-solving skills.
One of my strengths as a tutor is my ability to adapt to different learning needs and styles. I can explain difficult concepts using real-life examples, visual aids, or interactive exercises, depending on what works best for the student. I also provide clear explanations, answer questions, and offer guidance in a clear and concise manner.
0.00
0 Reviews
10+ Question Solved
Related Book For
Edexcel AS And A Level Mathematics Pure Mathematics Year 1/AS
ISBN: 9781292183398
1st Edition
Authors: Greg Attwood
Question Posted:
Students also viewed these Mathematics questions
-
a. Find an equation of the straight line passing through the points with coordinates (1, 5) and (4, 2), giving your answer in the form ax + by + c = 0, where a, b and c are integers. The line crosses...
-
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...
-
The straight line l 1 has equation 4y + x = 0. The straight line l 2 has equation y = 2x 3. a. On the same axes, sketch the graphs of l 1 and l 2 . Show clearly the coordinates of all points at...
-
Find the exact value of sin(x - y) if sin(x) = 3T 3T T
-
On January 1, 2015, Weaver Corporation purchased a patent for $ 237,000. The remaining legal life is 20 years, but the company estimates the patent will be useful for only six more years. In January...
-
What is the probability of observing exactly 12 cases of cleft palate if there is no excess risk of cleft palate in the study area? Suppose 12 cases of cleft palate are observed, whereas only 7 are...
-
Management is considering three alternatives to satisfy an urgent need. Each of the alternatives will completely satisfy the need, so no combinations have to be considered. The first costs, operating...
-
Payroll Tax Entries the payroll of Delaney Company for September 2010 is as follows. Total payroll was $480,000, of which $140,000 is exempt from Social Security tax because it represented amounts...
-
When estimating the average cash interest rate, Multiple choice question. the beginning amount of interest-bearing debt is in the denominator. the average amount of interest-bearing debt is in the...
-
Planning is one of the most important management functions in any business. A front office managers first step in planning should involve determine the departments goals. Planning also includes...
-
The scatter graph shows the oil production P and carbon dioxide emissions C for various years since 1970. A line of best fit has been added to the scatter graph. a. Use two points on the line to...
-
The straight line l 1 with equation y = 3x 7 intersects the straight line l 2 with equation ax + 4y 17 = 0 at the point P(3, b). a. Find the value of b. b. Find the value of a.
-
What is the difference between power and energy?
-
Comparing payback period and discounted payback period. Nielsen, Inc. is switching from the payback period to the discounted payback period for small-dollar projects. The cutoff period will remain at...
-
How does the phenomenon of globalization both enable and challenge efforts to promote social justice and equitable development worldwide?
-
Two resistors of 15 and 30 are connected in parallel. If the combination is connected in series with a 9.0-V battery and a 20-92 resistor, what is the current through the 15- resistor?
-
How do spatial dimensions of social stratification, such as residential segregation and urban planning, contribute to the reproduction of inequality and social exclusion?
-
(a) Draw the block diagram of generic communication system and briefly explain each functional block. [10 marks] (b) State the advantages and disadvantages of digital communication over analog...
-
How might the rise of peer-to-peer music sharing influence the structure of the music CPS? One guess is that this method erodes the dominance of the big labels because listeners are more likely to...
-
A horizontal annulus with inside and outside diameters of 8 and 10 cm, respectively, contains liquid water. The inside and outside surfaces are maintained at 40 and 20oC, respectively. Calculate the...
-
Consider the information in the chart shown below, which is in the USA Today style of graph. Could the information provided be organized into a pie chart? Why or why not? Why we can't lose weight 63%...
-
Fill in the blanks. 1. The categories by which data are grouped are called ________________ . 2. The ___________ class limit is the smallest value within the class and the class limit is the largest...
-
What does it mean if a distribution is said to be skewed left?
-
On January 1, 2024, Morey, Incorporated, exchanged $178,950 for 25 percent of Amsterdam Corporation. Morey appropriately applied the equity method to this investment. At January 1, the book values of...
-
Q1: A stock trader firm (SEF) is attempting to decide whether to buy, hold or sell a manufacturing company stock (MON). The return from each decision will be determined by whether the MON-company...
-
The president of Lynbrook, Inc. recently asked you to evaluate one of the company's profitable product lines in response to some new competition that will be entering the market next year. Your...
Study smarter with the SolutionInn App