Where and are natural numbers and , let ,

src="https://sciemce.com/media/4/ppg__cognero__Chapter_05_Proof_Problems__media__31d5defe-19bd-4912-a78b-860c0654bd60.PNG" style="vertical-align: -3px;" />, and .Verify that is a Pythagorean Triple.

What will be an ideal response?


We need to show that . Where , , and , it follws that

or , so that ,

or , so that , and

or , so that .

Now or , which is the

value of . That is, for all choices of and .


Mathematics

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Round the number to the place value indicated.6619

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Solve.The supplement of an angle measures 41° more than twice its complement. Find the measure of the angle.

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Express the percent as a fraction or mixed number in simplest form.1%

A.  
B.
C.
D.

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Provide an appropriate response.John has been a teacher at West Side High School for the past 12 years. His salary during that time can be modeled by the linear equation y = 800x + 33,000 where x is the number of years since he began teaching at West Side and y is his salary in dollars. Explain what the slope, 800, represents in this context.

What will be an ideal response?

Mathematics