Given z₁ and Z2, find the distance between them. Z₁ = -5-7i and Z₂ = 8-3i √[?]

Q: Multiply the following. (5x° + 8y) (5x³ - 8y) (5x3 + 8y) (5x3 - 8y) = (Simplify your answer.)

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Q: If Z. = - 10 + 5i and Zz = 16 - 8i, determine the following: Z,Z, in exponential form.

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Q: 3+4i Given that =5 find

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Q: Factor each expression completely. (a) 3x2 – 13x + 4 | (b) 3 cos2 0 – 13 cos 0 + 4

A: (a) part  Consider the given expression  3 x2-13 x+4 Then, 3 x2-13 x+4=3 x2-x-12 x+4=3 x2-x-12…

Q: Evaluate J 36-7° d+

A: It is asked to evaluate,

Q: By writing individual factors on the left in the exponential form, performing the needed operations…

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Q: Divide and express the result in standard form: (7 + 4i) / (2 - 5i).

A: 7+4i2-5i

Q: √(3+4i)=A+Bi, find A and B

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Q: Solve for x, where x is a real number. 9 4x = 8 27

A: The answer is x=1/6 (No option is correct)

Q: Find the product.   ​[x−​(8+5i​)][x−​(8−5i​)]

A: Given ​[x−​(8+5i​)][x−​(8−5i​)] = [x-8-5i][x-8+5i] For multiplication we first multiply x with…

Q: Find w = a + bi = √z where a and b are real numbers. 24+10i W = W =

A: w = 5 + i  ,  w = -5 - i Explanation: Or  Thank you 😊

Q: Multiply/Divide A. (4-2i)/(-2 -3i)

A: Multiply/Divide A. (4-2i)/(-2 -3i)

Q: Find wa+bi = √ where a and b are real numbers. - -60i - 11

A: We have to find

Q: Express −i+j in the form [a,b]

A: Simplification