The straight line l 1 has equation 4x 5y 10 = 0 and intersects the

Question:

The straight line l₁ has equation 4x − 5y − 10 = 0 and intersects the x-axis at point A.

The straight line l₂ has equation 4x − 2y + 20 = 0 and intersects the x-axis at the point B.

a. Work out the coordinates of A.

b. Work out the coordinates of B. The straight lines l₁ and l₂ intersect at the point C.

c. Work out the coordinates of C.

d. Work out the area of triangle ABC.

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 line l1 has equation 3x 2y = 12 and the line l 2 has equation y = 15 2x. The lines l 1 and l 2 intersect at the point A. a. Find the coordinates of A. b. Find the equation of the line through A...
True or False 1. The slope of a horizontal line is undefined. 2. Suppose the slope of a straight line L is -3/4 and P is a given point on L. If Q is a point on L lying 2 units to the right of P, then...
The straight line l 1 has equation y = 7x 3. The straight line l 2 has equation 4x + 3y 41 = 0. The lines intersect at the point A. a. Work out the coordinates of A. The straight line l 2 crosses...
12. Assume that the government has placed a regulation on the emission from diesel that will increase the cost of diesel. Graphically and verbally describe the impacts of this regulation on the...
Red Rock Bakery purchases land, building, and equipment for a single purchase price of $ 600,000. However, the estimated fair values of the land, building, and equipment are $ 175,000, $ 455,000, and...
From the data for 46 states in the United States for 1992, Baltagi obtained the following regression results: Log C = 4.30 1.24 log P + 0.17 log Y se = (0.91) (0.32) (0.20) R 2 = 0.27 where C =...
True or False: Multiple roots can exist when using IRR and MIRR methods.
Completed-Contract Method) Monat Construction Company, Inc., entered into a firm fixed price contract with Hyatt Clinic on July 1, 2010, to construct a four-story office building. At that time, Monat...
What payment, made at the end of each year for 13 years, will accumulate to $11,300 at 11% compounded monthly? The required annual payment is $ (Round the final answer to the nearest cent as needed....
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.
The points R(5, 2) and S(9, 0) lie on the straight line l 1 as shown. a. Work out an equation for straight line l 1 . The straight line l 2 is perpendicular to l 1 and passes through the point R. b....
What are the two basic styles of data replication?
What are the emerging therapeutic strategies targeting respiratory metabolism, mitochondrial dynamics, and redox signaling pathways for the treatment of metabolic disorders, neurodegenerative...
Consider the Cox-Ross-Rubinstein model for the pricing of European call options with parameters Xo = 1, K = 2, = ln(4) and := In(2). == (1) (10p) Determine the Black-Scholes price II* for maturity...
In what ways can grassroots movements and community organizing initiatives challenge entrenched social class hierarchies and advocate for more equitable socio-economic structures?
19. An old and worn 50-ft woven cloth tape is used to lay out and mark the corners of a 75.0 x 150.0 ft building. It is later found that the actual tape length was 50.15 ft. What dimensions were...
An aging analysis of Ivanhoe Company's accounts receivable at December 31, 2020 and 2021, showed the following: Accounts Receivable Number of Days Outstanding Estimated % Uncollectible 2021 2020 0-30...
Form a group of three. Pick a product and develop a marketing plan based on each of the three approaches to consumer decision making. What are the major differences in emphasis among the three...
Could a set of three vectors in span all of? Explain. What about n vectors in when n is less than m? R4
What is Pr(1.0 < Z < 1.5)? Cardiovascular Disease Because serum cholesterol is related to age and sex, some investigators prefer to express it in terms of z-scores. If X = raw serum cholesterol, then...
What proportion of people have high cholesterol? Suppose a person is regarded as having high cholesterol if Z > 2.0 and borderline cholesterol if 1.5 < Z < 2.0.
What proportion of people have borderline cholesterol? Suppose a person is regarded as having high cholesterol if Z > 2.0 and borderline cholesterol if 1.5 < Z < 2.0.
1 ) A . An explanation of why I chose ( or did not choose ) to early adopt the goodwill impairment testing provisions of ASU 2 0 1 7 - 0 4 ; B . an evaluation of the efficacy of the reported goodwill...
Contrast strategic, tactical, and operational planning, explaining the time frame associated with each type.
Amazon opened bookstores and announced the opening of convenience stores. How can these traditional retail channels allow Amazon to complement its online channel effectively?

The straight line l 1 has equation 4x 5y 10 = 0 and intersects the

Question:

Step by Step Answer:

To find the coordinates of points A and B we need to determine where the lines l1 and l2 intersect w...View the full answer

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

Students also viewed these Mathematics questions