foundations of algebra unit 1 answers





Suggested answer:
x+3y=6 x=6-3y y=2, x=6-3y =6-3(2) =6-6 x=0 y=0, x=6-3y =6-3(0) =6-0 x=6 y=+3, x=6-3y =6-3(3) =6-9 x=-3 a) Area between line and axes = area of D AOB =6 sq.units b) When x=-6, x = 6 - 3y , when x = -6, -6 = 6 - 3y -6 - 6 = - 3y -12 = - 3y \ if x = -6, y = 4..
Question 13
Question: Use a graph paper for this question. Draw the graphs of 2x-y-1 = 0 and 2x + y = 9 on the same axes. Use 2cm = 1unit on both the axes and plot only three points per line. Write down the co-ordinates of the point of intersection of the two lines. A..
Question 14
Question: Solve graphically x + y + 2 = 0 and 3x - 4y = 5. Take 2 cm=1 unit.Write down the co-ordinates of the point of intersection of the two lines. Answer: a) x + y + 2 = 0 y = - x - 2 b) 3x - 4y = 5 4y =3x - 5 ..
Worked Examples on Simultaneous Equations
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..
Formula
A formula is formed by using:A formula is formed by using: (a) mathematical symbols and variables (b) given conditions, and (c) simplification. Some well known formulae are listed below: Area of a rectangle A = l x b A = Area l = Length b = Breadth Perimeter of a rectangle P = 2(l + b) P = Perimete..
1. One-one function
There is one-one correspondence between the elements of the set A and the set B..
(i) one - one
For each element of B there is one corresponding element of ..
1)
Graph the followin..
(iii) one - many
For one element of A there is more than one corresponding element of B..
One-one function (or an injective map)
A function f : A g B is called a 1-1 mapping, if every element of f(A) does not have more than one pre-image. ..
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