Solve the problem.Show that the midpoint of the hypotenuse of a right triangle is equidistant from all three vertices. [Hint: See the figure below. Show that 
= 
.] 
What will be an ideal response?
Verify that 
= 
.
Cancel the 2's and square both sides:
2 = 
2 or
(a + b)?(a + b) = (a - b)?(a - b) or
a?a + 2a?b + b?b = a?a - 2a?b + b?b [2a?b = 0 since a and b are orthogonal]
a?a + b?b = a?a + b?b Verified.
Thus, the midpoint is equidistant from all three vertices.
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A. 0.00142857 B. 700 C. 100 D. 0.07
Evaluate the cylindrical coordinate integral.
A. 50? B. 100 C. 150 D. 150?
Find the domain of the function.y = 10 + 
A. (-?, -3) B. (-3, ?) C. all real numbers except 3 D. all real numbers except -3
Write the system in the form 
Then solve the linear system by computing 
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A. (0.3, 1.8, -5.5) B. (0.1, 0.4, -1.1) C. (0.1, 0.8, -2.5) D. (0.0, 0.2, -0.5)