SOLUTION: Questions 1) The midpoint of AB is at (0,3). If A=(0,−2), find B. Questions 2) Write the equation of the circle centered at (0,−6) that passes through (−5,−18).

Algebra ->  College  -> Linear Algebra -> SOLUTION: Questions 1) The midpoint of AB is at (0,3). If A=(0,−2), find B. Questions 2) Write the equation of the circle centered at (0,−6) that passes through (−5,−18).       Log On


   



Question 1202730: Questions 1) The midpoint of AB is at (0,3). If A=(0,−2), find B.

Questions 2) Write the equation of the circle centered at
(0,−6) that passes through (−5,−18).



Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Questions 1) The midpoint of AB is at M(0,3). If A=(0,−2), find B.
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No change in x, makes it simple.
Distance from M to A is 5 units.
Add 5 to M --> (0,8)
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Questions 2) Write the equation of the circle centered at
C(0,−6) that passes through P(−5,−18).
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Find the distance from C to P, that's the radius r.
r^2 = diffy^2 + diffx^2 = 12^2 + 5^2 = 169
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%28x-0%29%5E2+%2B+%28y%2B6%29%5E2+=+r%5E2+=+169
x%5E2+%2B+%28y%2B6%29%5E2+=+169