Reference no: EM131000564
In the diagram below,the equation of the line AB is 4x + 5y = 40, the equation of the line BC is, y=x/5 the line AC passes through the points (6, 0) and (0, 10).
(a) Find the equation of the line through AC.
(b) The point S (5, 4) lies on the line through AB.
Find the equation of the line through S which is parallel to AC.
(c) Another point T lies on the line through AB such that its x-intercept (10, 0) is the midpoint between S and T.
(i) Find the coordinates of the point T.
(ii) Show that the distance between S and T is 12.8 units.
(d) The region inside the triangle ABC, not including points on the boundary, is described by 4x+ 5y < 40 and two other inequalities.
Write down the other two inequalities
(e) Given that (p, q) is a point inside the triangle ABC and that p and q are both integers, write down
(i) the largest possible value of p.
(ii) the least possible value of p + q.
(iii) the largest possible value of 4p + 5q.
|
Find the momentum of the pion in conventional unit
: A pion, which is 140 times heavier than electron is moving with a speed of .75c. Find the momentum of the pion in conventional unit (kgm/s) and also in Mev/c.
|
|
Calculate vertical and horizontal forces due to pressure
: A pipe bends through an angle of 45 degrees in the vertical plane. At the inlet it has a cross sectional area of 0.004m^2 and a gauge pressure of 1000kPa. At the exit it has an area of 0.0008m^2 and a gauge pressure of 400kPa. Calculate the vertic..
|
|
What length open-closed tube is necessary to produce note
: Some pipe organs create sounds lower than humans can hear. This "infrasound" can still create physical sensations. Assume a sound speed of 343 m/s. What is the fundamental frequency of the sound from an open-open pipe that is 32 feet long (a comm..
|
|
Kingston company uses the dollar value lifo method
: Kingston Company uses the dollar-value LIFO method of computing inventory. An external price index is used to convert ending inventory to base year.
|
|
Find the equation of the line through s which is parallel
: Find the equation of the line through AC. Find the equation of the line through S which is parallel to AC. Another point T lies on the line through AB such that its x-intercept (10, 0) is the midpoint between S and T. Find the coordinates of the poi..
|
|
Write the lu factorization of the system
: create a 3x3 elementary matrix that replaces row 2 with row 2 minus half of row 1 - write the LU factorization of the system. use b=Lc and c=Ux to solve the system.
|
|
What is the magnitude of the force
: A pirate's treasure chest lies 20.0 m below the surface of the ocean. What is the magnitude of the force that acts on the rectangular top that is 0.750 m x 0.425 m?
|
|
What will the direction of the puck be in degrees
: He is playing outside and has an east wind affecting the puck which has a magnitude of 12m/s. What will the direction of the puck be in degrees and what will be its velocity?
|
|
Working with electricity
: 2. When working with electricity, the electrician should make a practice ofA. working with his or her left hand in a pocket. B. regarding electricity with fear.( was wrong)C. assuming that the circuit is OFF.
|