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What is the circumference of the circle with center at P and passing through Q? Express your answer in terms of \pi.     

P = (0,0) and Q = (1,1).     

The diagonal line from the origin to (1,1) is sqrt(2) long.     

Since that's a radius, the diameter would be 2 • sqrt(2).     

Circumference  =  2 π sqrt(2)     

_.     

The answer is 0.112.

   A rescue helicopter is flying horizontally at an altitude of 1500 feet over Georgian Bay toward Beausoleil Island.     

   The angle of depression to the island is 9 degrees. How much farther must the helicopter fly before it is above the island?     

   Give your answer to the nearest mile.     

   Draw it and the solution becomes obvious.     tangent = opposite / adjacent     

                                                                           tan( 9^o )  =  height / distance     

                                                                    0.15838444   =  1500 ft / D     

                                                                0.15838444 • D  =  1500 ft     

                                                                                      D  =  1500 ft / 0.15838444     

                                                                                      D  =  9470.6 ft     

                                                                                      D  =  9470.6 ft / 5280 ^feet/_mile     

                                                                                      D  =  1.79 mile rounds to 2 miles     

   _.

The answer is 6.

The answer is -8.

The answer is 12.

The answer is (3,-7).

The answer is 54.

   If three times a number is increased by twenty-two the result fourteen less than seven times the number find the number     

   7x – 14  =  3x + 22     

           4x  =  36     

             x  =  9     

   This turned out to be simpler     

   than I thought it would be.     

   .     

   is there a way to define some constants for a session.     

   It would be nice to have that if it is not possible yet.     

   Maybe you can define some standard constants like the speed of light...     

   your example            c  the speed of light,      

                                     e  base of natural log, apprix 2.71828     

                                     i   sqrt(–1) imaginary number     

   an obvious one         π  pi, approx 3.14159     

   _.     

The answer is 5.

The answer is 12.

Look at the equations of lines, for slope and y-intercept.

The answer is 18a^2, 5a^2 b^3.

The answer is 18.

The answer is -12.

The answer is -7.

The answer is 8.