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Chapter 1: Problem 45
Perform the indicated operation(s) and write the result in standard form. $$ (2-3 i)(1-i)-(3-i)(3+i) $$
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Describe the relationship between the real solutions of \(a x^{2}+b x+c=0\) and the graph of \(y=a x^{2}+b x+c\)
Will help you prepare for the material covered in the next section. Use the special product \((A+B)^{2}=A^{2}+2 A B+B^{2}\) to multiply: \((\sqrt{x+4}+1)^{2}\).
In Exercises 95鈥�102, use interval notation to represent all values of x satisfying the given conditions. \(y=8-|5 x+3|\) and \(y\) is at least 6
Determine whether each statement makes sense or does not make sense, and explain your reasoning. I can check inequalities by substituting 0 for the variable: When 0 belongs to the solution set, I should obtain a true statement, and when 0 does not belong to the solution set, I should obtain a false statement.
An isosceles right triangle has legs that are the same length and acute angles each measuring \(45^{\circ} .\) a. Write an expression in terms of \(a\) that represents the length of the hypotenuse.\ b. Use your result from part (a) to write a sentence that describes the length of the hypotenuse of an isosceles right triangle in terms of the length of a leg.
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