Express as a complex number in simplest a+bi form: (9-2i)/(-7-3i) Answer:

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Express as a complex number in simplest a+bi form:  (9-2i)/(-7-3i) Answer:

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Multiply by Conjugate: Multiply the numerator and denominator by the complex conjugate of the denominator to eliminate the imaginary part in the denominator. The complex conjugate of (-7-3i) is (-7+3i). (9-2i)/(-7-3i) * (-7+3i)/(-7+3i)Apply Distributive Property: Apply the distributive property (foil method) to multiply out the numerators and the denominators. Numerator: (9-2i)(-7+3i) = 9*(-7) + 9*3i + (-2i)*(-7) + (-2i)*3i Denominator: (-7-3i)(-7+3i) = (-7)*(-7) + (-7)*3i + (-3i)*(-7) - 3i*3iPerform Multiplication: Perform the multiplication. Numerator: -63 + 27i - 14i - 6i^2 Denominator: 49 - 21i + 21i - 9i^2 Since i^2 = -1, replace i^2 with -1 in both the numerator and the denominator.Simplify Using i^2: Simplify the expressions by combining like terms and using i^2 = -1. Numerator: -63 + 27i - 14i + 6(-1) = -63 + 13i - 6 = -69 + 13i Denominator: 49 - 21i + 21i + 9(-1) = 49 + 9 = 58Divide Numerator by Denominator: Divide the simplified numerator by the simplified denominator. (-69 + 13i) / 58 Separate the real and imaginary parts and divide each by 58. Real part: -69/58 Imaginary part: 13i/58Simplify Fractions: Simplify the fractions. Real part: -69/58 = -1.18965517241 (approximately -1.19) Imaginary part: 13i/58 = 0.22413793103i (approximately 0.22i)Final Answer: Write the final answer in a+bi form. -1.19 + 0.22i

Express as a complex number in simplest a+bi form: $\newline$ $\frac{9-2 i}{-7-3 i}$ $\newline$ Answer:

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Express as a complex number in simplest a+bi form:\newline9−2i−7−3i \frac{9-2 i}{-7-3 i} −7−3i9−2i​\newlineAnswer:

Express as a complex number in simplest a+bi form: $\newline$ $\frac{9-2 i}{-7-3 i}$ $\newline$ Answer: