Given hypotenuse , describe the locus of points in a plane that are the vertices of a right triangle.

What will be an ideal response?


The locus is the circle with center at the midpoint M of and radius of length XM (or MY).

Mathematics

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Use a trigonometric substitution to evaluate the integral.

A.  tan-1 (2 ln x) + C
B.  ln ( 1 + 4 ln2x) + C
C.  tan-1 (2 ln x) + C
D.  tan-1 (4 ln2 x) + C

Mathematics

Solve the problem.The preference table shows the results of an election among three candidates, A, B, and C. (a) Using the plurality method, who is the winner?(b) The voters in the two columns on the right move their last-place candidates from last place to first place. Construct a new preference table for the election. Using the table and the plurality method, who is the winner?(c) Suppose that candidate C drops out of the new table, but the winner is still chosen by the plurality method. Is the irrelevant alternatives criterion satisfied?

A. A; A; yes B. C; A; yes C. B; B; yes D. C; C; yes

Mathematics

Provide an appropriate response.On the given graph of y = cot x sketch the graph of y = cot-1 x as defined in the text. Give the domain and the range.

What will be an ideal response?

Mathematics

Solve for rate in the problem. Round to the nearest tenth of a percent.$906 is   % of $1,936.

A. 0.5 B. 213.7 C. 0.1 D. 46.8

Mathematics