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For the following questions: A. Draw a picture B. Compute the different lengths C. Compare lengths or replace...

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Question

Basic Math

For the following questions:

A. Draw a picture

B. Compute the different lengths

C. Compare lengths or replace into formula for sphere

D. Explain your final results in complete sentences

  1. Find the midpoint of the segment connecting the points A(3,5,2)and B(4,8,6).
  2. Find the equation of a sphere if one of the diameters hasendpoints A(5,4,3) and B(1,6,-9).
  3. Determine whether the points A(1,0,1), B(2,1,-1), and C(3,2,1)all lie on the same straight line.
  4. Determine whether the triangle with corners at A(1,2,3),B(2,4,5) , C(3,6,7) is a) a right triangle b) an isoscelestriangle.
  5. Find an equation of the set of all points equidistant from thepoints A(-1,5,3), and B(6,2,-2).

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