Provide an appropriate response.Show that the points P1(2, 4), P2(5, 2), and P3(7, 5) are the vertices of a right triangle.

What will be an ideal response?


Answers will vary. One possibility: The slope of the line through P1 and P2 is -2/3. The slope of the line through P2 and P3 is 3/2. Therefore, since the product of these slopes is  the lines are perpendicular and constitute a right angle in the triangle, making the triangle formed by these points a right triangle.

Mathematics

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Determine convergence or divergence of the series.

A. Converges B. Diverges

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Find the average value of the function over the given interval.f(x) = 10x on [9, 11]

A. 100 B. 50 C. 400 D. 200

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Find the area.Find the area of a square measuring 18.7 m on a side.

A. 349.69 m2 B. 699.38 m2 C. 37.4 m2 D. 74.8 m2

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Provide an appropriate response.Sales tax is:

A. collected at the time of purchase and sent immediately to a government agency B. charged only by county or city governments C. all of these apply to sales tax D. based on the price of a purchase

Mathematics