Question: Hi there, if someone could please help me with the following. Thank you very much! (a) (2 points) Write an algebraic expression for the following
Hi there, if someone could please help me with the following. Thank you very much!




(a) (2 points) Write an algebraic expression for the following quantity: the ratio of the square root of one less than the square of a and the square of two more than y.(b) (2 points) The argument below is clearly incorrect (2 7 1 !!). Explain what is wrong by indicating which step is incorrect and explaining why: Step 1: Let x = y, with neither equaling 0 Step 2: (multiply both sides by y) xy = y' Step 3: (subtract a' from both sides) xy - x' =y' -x Step 4: (factor) x(y - x) = (y+x)(y -x) Step 5: (divide both sides by (y - x)) =y+c Step 6: (substitute * = y) yty =y Step 7: (simplify) 2y = y Step 8: (divide both sides by y) 2 = 1(c) (5 points) Consider the following system of linear equations (i.e., straight lines): ay = 2x - 1 3y - ba = 9 x + 4y = c For which values of a, b, and c are the three lines parallel (i.e., they never inter- sect)? Hint: in solving the system of equations, you may find that one or more of the variables can take any value. If this happens, don't forget to state it.(d) (2 points) Given the values of a, b, and c from part (c), can the system of equa- tions have a solution? Give a very short explanation of your
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