Pythagoras is attributed with the expressions a-2n + 1, b = 2 n2 + 2 n , and c-2 n2 + 2 n Pythagorean triples. Find five different Pythagorean triples using Pythagoras's formula. What is the relationship between the hypotenuse and the longest leg for triples found using this formula? Euclid gave a general expression for Pythagorean triples with x = 2 m n, y-m2-n2 , and z = m2 + n2 Find three Pythagorean triples using Euclid's formula that cannot be found using Pythagoras's formula described in the preceding problem.. 3.8 1 for 3.9 Triplet mIn

Simplify the expressions: 1252 (b) (125)2

The sum of terms 50k2 from k=x through 7 is 115. What is x?

Insurance copayment Carrie had to have 5 fillings done. Each filling cost $80. Her dental insurance required her to pay 20% of the cost as a copay. Calculate Carrie’s copay: (a) First, by multiplying 0.20 by 80 to find her copay for each filling and then multiplying your answer by 5 to find her total copay for 5 fillings. (b) Next, by multiplying [5(0.20)](80) (c) Which of the properties of real numbers says that your answers to parts (a), where you multiplied 5[(0.20)(80)] and (b), where you multiplied [5(0.20)](80), should be equal?