The line l 1 passes through the points A and B with coordinates (0, 2) and (6, 7) respectively The line l 2 has equation x y 8 and cuts the y axis at the point C The line l 1 and l 2 intersect at D Find the area of triangle ACD ...

To find the area of triangle ACD we need to determine the coordinates of point C and point D Given t ...

The line l 1 passes through the points A and B with coordinates (0, 2) and (6,

Question:

The line l₁ passes through the points A and B with coordinates (0, −2) and (6, 7) respectively.

The line l₂ has equation x + y = 8 and cuts the y-axis at the point C.

The line l₁ and l₂ intersect at D.

Find the area of triangle ACD.

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

Step by Step Answer:

Related Book For answer-question

Edexcel AS And A Level Mathematics Pure Mathematics Year 1/AS

ISBN: 9781292183398

1st Edition

Authors: Greg Attwood

See More Books

Question Posted: Jul 14, 2023 11:53 PM

See More Questions

The points A and B have coordinates (4, 6) and (12, 2) respectively. The straight line l 1 passes through A and B. a. Find an equation for l 1 in the form ax + by + c = 0, where a, b and c are...
The points A and B lie on a circle with centre C, as shown in the diagram. The point A has coordinates (3, 7) and the point B has coordinates (5, 1). M is the midpoint of the line segment AB. The...
The line l 1 has equation y = 3x 6. The line l 2 is perpendicular to l 1 and passes through the point (6, 2). a. Find an equation for l 2 in the form y = mx + c, where m and c are constants The...
Discussion Post: Suppose you were considering investing in a Series I Bond. The bond will pay 5% interest. However, bond A compounds annually, and bond B compounds semiannually. Provide a detailed...
Brick Oven Corporation was organized early in 2015. The following expenditures were made during the first few months of the year: Attorneys fees to organize the corporation ..... $ 9,000 Purchase of...
Consider the following wage-determination equation for the British economy* for the period 19501969: where W = wages and salaries per employee PF = prices of final output at factor cost U =...
When conducting an incremental analysis, what step must always be taken immediately prior to beginning the pairwise comparisons? a. Order the alternatives from highest to lowest initial investment b....
The following transactions, adjusting entries, and closing entries were completed by Robinson Furniture Co. during a three-year period. All are related to the use of delivery equipment. The...
A chimpanzee is swinging through the jungle on a 1 = 22.3 m-long vine, as shown. If the chimpanzee is to reach a tree branch h = 23.2 m above the horizontal jungle floor, what minimum speed must he...
The line p has gradient 2/3 and passes through the point (6, 12). The line q has gradient 1 and passes through the point (5, 5). The line p meets the y-axis at A and the line q meets the x-axis at B....
The line l with gradient 3 and y-intercept (0, 5) has the equation ax 2y + c = 0. Find the values of a and c.
In what way does technology help QB House to keep its costs down?
Identify 2 things you learned in this class you found to be the most valuable, and answer: (1) What are they? (tell us what they are and remind us what they are all about - this will be a good...
Markowitz portfolio optimization: Harry Markowitz received the 1990 Nobel Prize for his path-breaking work in portfolio optimization. One version of the Markowitz model is based on minimizing the...
1. An object is undergoing SHM with an amplitude 0.320 m. It goes through 20 cycles of oscillation in 18 seconds. At t = 0 the object is at x = 0.320 m and is instantaneously at rest. Calculate the...
You receive an inheritance from your grandmother in the amount of $9 million. The inheritance will be paid in 3 equal installments and the first payment will arrive only in three years. How much is...
A 5.0-kg object slides down a frictionless surface inclined at an angle of 30 from the horizontal. The total distance moved by the object along the plane is 10 meters. The work done on the object by...
Perform a survey of countryoforigin stereotypes. Compile a list of five countries and ask people what products they associate with each. What are their evaluations of the products and likely...
Chloroplasts are illuminated until the levels of the Calvin cycle intermediates reach a steady state. The light is then turned off. How does the level of RuBP vary after this point?
In your own words, define the word effectfirst as you would use it in everyday conversation and then as a statistician would use it.
In an exercise in Chapter 7, we asked you to conduct a z test to ascertain whether the Graded Naming Test (GNT) scores for Canadian participants differed from the GNT norms based on adults in...
Unsavory researchers know that one can cheat with hypothesis testing. That is, they know that a researcher can stack the deck in her or his favor, making it easier to reject the null hypothesis. a....
Suppose you are given the following information: R S B(R) = 2500 B(S)=20 T(R) 50000 T(S) = 500 = V(R, x)=300 V(R, y)=50 y= [20, 1000] 2.1 Compute the following. What is the cost of joining R and S...
1. Select an actual service company related to or in tourism or hospitality (name of the hotel) and briefly describe what the organization does. Make sure to select an actual company . 2. Review the...
What are the three dimensions of corporate strategy and how do they differ?

The line l 1 passes through the points A and B with coordinates (0, 2) and (6,

Question:

Step by Step Answer:

To find the area of triangle ACD we need to determine the coordinates of point C and point D Given t...View the full answer

Edexcel AS And A Level Mathematics Pure Mathematics Year 1/AS

Students also viewed these Mathematics questions