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This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
here are the solutions to your questions: 27. If P = 4 \\ 3 and Q = 2 \\ -1 , find 4P - 2Q. Step 1: Calculate 4P. 4P = 4 4 \\ 3 = 4 × 4 \\ 4 × 3 = 16 \\ 12 Step 2: Calculate 2Q. 2Q = 2 2 \\ -1 = 2 × 2 \\ 2 × -1 = 4 \\ -2 Step 3: Subtract 2Q from 4P. 4P - 2Q = 16 \\ 12 - 4 \\ -2 4P - 2Q = 16 - 4 \\ 12 - (-2) 4P - 2Q = 12 \\ 12 + 2 4P - 2Q = 12 \\ 14 The calculated result is 12 \\ 14 . This answer is not among the given options. 28. Given that vector a = -5 \\ 12 and b = 10x \\ 12 , find the value of x if a = b. Step 1: If two vectors are equal, their corresponding components must be equal. -5 \\ 12 = 10x \\ 12 Step 2: Equate the x-components. -5 = 10x Step 3: Solve for x. x = (-5)/(10) x = -(1)/(2) The value of x is B. -(1)/(2). Got more? Send 'em!