free answers for mathematics homework for prentice hall mathematics new york integrated algebra textbook page 50 questions 2 22

A x B = {(1, 3), (1, 5), (2, 3), (2, 5), (3, 3), (3, 5)} (i) = {(3, 3)} is the only pair which satisfies the relation x = y. R 'is equal to' is a subset of A x B. (ii) S = {(x, y) : x, y A x B, y = x + 2} = {(1, 3), (3, 5)}. These two pairs satisfy the relati..

6 = 12 or x - 18 = 12 x = 12 + 18 = 30 The present age of the man is 30 years and the present age of his son is 6 years. The sum of the digits of a two digit number is 7. If the digits are reversed, the new number increased by 3 equals four times the original number. Find the or..

Question: Find the values of a so that x=1, y=2 is a solution of: (a) 2x+ay=10 (b) ax+2y=6 (c) x+2y=a Answer: (a) 2x+ay=10, substitute x=1, y=2 2(1)+a(12) = 10 2+2a=10 2a=8 a=..

Plot the graph of 5x-2y=5 Area between line and axes = area of D AO..

(2ax) 2 + 2(2ax)b = -4ac [Writing 4a 2 x 2 = (2ax) 2 , 4abx = 2(2ax)..

(2ax) 2 + 2(2ax)b +b 2 = b 2 - 4ac [Adding b 2 to both sides (square of the coefficient of x..

Notation: Usually a polynomial is denoted by P(x) and if k is any number then P(k) denotes the value of P(x) at x=k. The degree of a polynomial: If a o ? 0, then the polynomial P(x) or f(x) is of degree 'n' i.e., it is the highest power of the variable x in the rational and ..

{(1, 1), (2, 2). (3, 3), (4, 4)}..

Function - Any relation on A x B in which (i) no two second elements have a common first element and (ii) every first element has a corresponding second element is called a function.Any relation on A x B in which (i) no two second elements have a common first element and (ii) ev..

Ordered Pairs - An ordered pair has a pair of elements which occur in a definite order.An ordered pair has a pair of elements which occur in a definite order. Take two numbers 3 and 5. If they form a pair (3,5) and the order of the numbers cannot be changed, these numbers are said to form..