A binary operation * is defined by a*b = ab+a+b for any r...
A binary operation * is defined by a*b = ab+a+b for any real number a and b. if the identity element is zero, find the inverse of 2 under this operation.
2/3
1/2
-1/2
-2/3
Correct answer is D
\(a*a^{-1} = aa^{-1} + a + a^{-1} = e\)
if e = 0
\(2.2^{-1} + 2 + 2^{-1} = 0\)
collecting like terms, we have:
\(3.2^{-1} + 2 = 0\)
= \(2^{-1}\) = -\(\frac{2}{3}\)
Simplify: \(\frac{2}{3xy} - \frac{3}{4yz}\)...
What value of g will make the expression 4x2 - 18xy + g a perfect square? ...
Given that P = x2 + 4x - 2, Q = 2x - 1 and Q - p = 2, find x...
In the diagram, < WOX = 60o, < YOE = 50o and < OXY = 30o. What is the bearing of x from y?...
In the diagram above, PQ is parallel to RST. /RS/ = /SQ/ = /TQ/ and ∠PQR = 35o.Calculate ∠SQT...
In the diagram, QTR is a straight line and < PQT = 30o. find the sin of < PTR...
In the figure, PT is tangent to the circle at U and QU/RS if TUR = 35º and SRU = 50º&...