17 Given: ZAEC = ZDEB, BE = CE, ZABE = ZDCE Prove: AB = CD A B C

Q: Express the following numbers in rectangular form (real and imaginary). (a) 9 39°= +i (b) 20 -15° =…

A: Note:as per our answering guidelines we can solve only 1 question or 3 sub parts. So i solved 1st…

Q: Can 2 diagonals in cube ever be mapped on to a single diagonal?  No, why?

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Q: Divide (3 - 4i)/(4 + 3i) and express the result in standard form.

A: Multiply by the conjugate of the denominator

Q: state nature of roots of 2x- 4r + 3= 0

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Q: Simplify and write in standard form: (6+ 2i)(-9+ 12i) – 2i(1+ 4i)

A: topic - complex numbers

Q: Find the 4 fourth roots of -8+8i(square root of 3)

A: Let, z=-8+83i Since, nth root of any complex number w is defined as, wn=rncosθ+2kπn+isinθ+2kπn

Q: state nature of roots of 2x - 4x +3 = 0 %3D

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Q: Write the number 1 + i/2 - 3i in standard form a + bi. please show steps

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Q: 4.7i+6.13i+5.6

A: Step 1:given 4.7i+6.13i+5.6 Step 2: Add 4.7i+6.13i You get 4.7i+6.13i=10.83i   Step 3:Now 10.83i +…

Q: multiply (5 + 2i)(4 - 3i). please show all the work used to multiply.

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Q: Multiply/Divide a) divide -27 • divide -27 b) (1+5i) (1- 5i)

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Q: simplify each complex fraction. (3 + 2/(n + 4))/(5 - 1/(n + 4))

A: Solution: Consider the complex fraction: 3+2n+45-1n+4 we have 3 + 2 = 5 5 -1 = 4 Then 3+2n+45-1n+4 =…

Q: Find value of x in the regular heptagon below. 2x+38° O 128.6 O 900 O 45.3 O 431

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Q: Find the fifth roots of ( -128  + i)

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Q: (1-6i)/(-10+8i)

A: Let

Q: What are the STEPS in solving radical equations containing nth Roots?

A: Calculation:Step1 : Isolate the radical expression on one side of the equal sign. Put all the other…

Q: (b) Show that it is real, even though i or 8i is not.

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Q: 4Q Express 2= (1+2i)² 7-i in the form a + ib where a and b are real numbers.

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Q: Express the number (20CBA)16 + (ABC DE)16 + (BAAA)16 in bases 8, 10 and 16.

A: This is a problem of counting and finite math.

Q: How many complex roots has the equation x⁷ + x⁴ - x² - 3 = 0

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Q: Simplify the complex number: (-√5,10)/(√10  , 5)

A: A complex number is written in the form of a+ib, where a and b are real numbers, and 'i' is called…

Q: find (1+2i)^5/3 write your final answer in a+bi form

A: We have to express in terms of a+bi.

Q: 5) (2i – 4) – (6i + 8) -

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Q: WHAT WOULD SPECFICALLY GO IN EACH BOX. Please circle the two answers that go in each box.

A: Given Problem:- limx→∞7xtan2x

Q: Find the values of complex number ਦੇ + √2 333

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Q: Find the values of complex number 333 1 (™ + √2

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Q: Simplify the expression so that it is in the form (a+bi)  2/3-square root -1 divided by square root…

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Q: 2. In the equation x² + 40x +n = 0 , findn if one root is 3 times larger than the other root.…

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