Charles defined a new operation, ◆, on pairs of ordere ac + bd ab-cd pairs of integers as follows: (a,b) What is the value of (2,1) (3,4) ?
A. -2
B. -1
C. 2
D. 5
E. 10
First, we need to apply the operation ◆ to the given pairs of integers:
(2,1) ◆ (3,4) = (2*3 + 1*4, 2*4 - 1*3) = (6 + 4, 8 - 3) = (10, 5)
So, the value of (2,1) ◆ (3,4) is (10,5).
The answer is D. 5.