Linear equations in two variables
An equation whose graph is a straight line is called a linear equation. (linear means straight). An equation of degree one is linear. A linear equation in two variables is of the form ax + by = c,where ..
An equation whose graph is a straight line is called a linear equation. (linear means straight). An equation of degree one is linear. A linear equation in two variables is of the form ax + by = c,where ..Linear Inequations Summary
A half-plane in the x-y plane is called a closed half-plane if the points on the line separating the half-planes are also included in the half-plane. A half-plane in the x-y plane is called a closed half-plane if the points on the line separating the half-planes are also included in the half-p..
A half-plane in the x-y plane is called a closed half-plane if the points on the line separating the half-planes are also included in the half-plane. A half-plane in the x-y plane is called a closed half-plane if the points on the line separating the half-planes are also included in the half-p..Suggested answer:
Plot the graph of 2x+3y=9 2x=9-3y (Expressing one variable in terms of the other) Put y = 1, x=3 Put y = -1, x=6 Put y = 7, x=-..
Plot the graph of 2x+3y=9 2x=9-3y (Expressing one variable in terms of the other) Put y = 1, x=3 Put y = -1, x=6 Put y = 7, x=-..Example
2x+3=4 Coordinates The co-ordinate of the foot of the perpendicular draw on the x-axis from the given point P is x-coordinate of the point P ('a'). Similarly 'b' is the y-coordinate of the point P. The coordinate of P are (a, b). The ordered pair of the coordinates (a, b) denotes t..
2x+3=4 Coordinates The co-ordinate of the foot of the perpendicular draw on the x-axis from the given point P is x-coordinate of the point P ('a'). Similarly 'b' is the y-coordinate of the point P. The coordinate of P are (a, b). The ordered pair of the coordinates (a, b) denotes t..Representation of a Relation
(i) Roster form(i) Roster form (ii) Set builder form (iii) By tables (iv) Arrow diagram (v) By graphs (i) Roster form: The ordered pairs are listed, R = {(2, 1), (4, 2), (6, 3), (8, 4), (10, 5)} Where A = {1, 2, 3, 4, 5} and R means 'is twice' in A x A xRy means x = 2y. (i) x = 2y is call..
(i) Roster form(i) Roster form (ii) Set builder form (iii) By tables (iv) Arrow diagram (v) By graphs (i) Roster form: The ordered pairs are listed, R = {(2, 1), (4, 2), (6, 3), (8, 4), (10, 5)} Where A = {1, 2, 3, 4, 5} and R means 'is twice' in A x A xRy means x = 2y. (i) x = 2y is call..Suggested answer:
Plot the graph of 5x-2y=5 Area between line and axes = area of D AO..
Plot the graph of 5x-2y=5 Area between line and axes = area of D AO..Function Solved Examples
The roster form is S = {(-2, 5), (-1, -1), (0, -3), (1, -1), (2, 5)}. Yes, S is a function. It is many-one and into function. Domain = {-2, -1, 0, 1, 2} = A ; Range = {-3, -1, 5}; Co-Domain = {-3, -1, 1, 5} = B. (i) Find the domain and the range of the function. (ii) Draw the Cartesian graph..
The roster form is S = {(-2, 5), (-1, -1), (0, -3), (1, -1), (2, 5)}. Yes, S is a function. It is many-one and into function. Domain = {-2, -1, 0, 1, 2} = A ; Range = {-3, -1, 5}; Co-Domain = {-3, -1, 1, 5} = B. (i) Find the domain and the range of the function. (ii) Draw the Cartesian graph..Algebra of Limits
If f and g are two functions defined over same domain D, then we have certain set of identities which can be used for solving limits problems with variables like algebraic expression..
..Problems on Simultaneous Equations
If one number is thrice the other and their sum is 60, find the numbers. Let the numbers be x and y. x is 3 times y x = 3y (1) Sum of x and y is 60 x + y = 60 (2) Putting the value of x from (1) in (2), we get, 3y + y = 60 4y = 60 y = 15 Substituting y = 15 in (1), we get, x = 3 x 15 = 45..
If one number is thrice the other and their sum is 60, find the numbers. Let the numbers be x and y. x is 3 times y x = 3y (1) Sum of x and y is 60 x + y = 60 (2) Putting the value of x from (1) in (2), we get, 3y + y = 60 4y = 60 y = 15 Substituting y = 15 in (1), we get, x = 3 x 15 = 45..See what our Users say :
This Tutor Vista is GREAT! loved this session, it helped me heaps.
You are an amazing tutor. So knowlegeable and patient. Very clear in explanations, 2 thumbs up -kelly
It helped alot in this tutor broke each step down and gave me questions to answer ,Tutor Vista is awesome - carlos
i like this session,the tutor was really helpful and broke things down clearly were i could understand them better - Samantha
Looking for More Help!
