Prompt: Use the Pythagorean identity, (x² - y²)² + (2xy)² = (x² + y²)², to create a Pythagorean triple. Follow these steps: 1. Choose two numbers and identify which is replacing and which is replacing y. 2. How did you know which number to use for x and for y 3. Explain how to find a Pythagorean triple using those numbers. 4. Explain why at least one leg of the triangle that the Pythagorean triple represents must have an even-numbered length. Number your responses from 1 to 4 so your instructor can tell which question you're responding to.

Q: 2) Simplify the Radical V45 A) B) V3. V5

A: Given  A) 45 B) 3.5

Q: From lighthouses X and Y, 50 km apart, a disabled ship Z is sighted.  If ∠???=82∘∠ZXY=82∘ and…

A:

Q: Step 1: Step 2: Step 3: Step 4: 50 40x + 9x - 7=0 50+ (-40x + 9x) - 7 = 0 50+ (-40 + 9)x - 7 = 0 50+…

A: Now, we adding the additive inverse of 43. So,                 -31x+43-43=0-43⇒-31x=-43⇒x=4331

Q: What is the coefficient of the term a b in (a + b)1°? Includ answer.

A:

Q: Divide. 3+7i 1+ i

A: Given: 3+7i1+i We know that; a+ibc+id=ac-bd+ad+bci

Q: Directions: Write each repeating decimal as a fraction. Problem: 0. 36

A: We have to write the given repeating decimal as fraction: 0.36 Assuming x=0.36 or,  x=0.36=0.36 36…

Q: -) Find, if possible , AB and B 31 A= B2 43 15 302 917

A: Explanation of the solution is given below...

Q: 2 List the following numbers in order from least to greatest. 4.2 x 10-2, 0.088, 8.9 × 10-3, 0.01

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Express the number in terms of i. -√√-28 O A. - 14i OB. 2√7i OC. -2√7i OD. -7√2i

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Q: Devise formulas for the nth pentagonal number and the nth hexagonal number.

A: We find the formula with the help of  graph drawing take as n=1,2,3.... So by observation we find…