SOLUTION: Write the equation of the circle with center (-4, 11) and containing the point (5, -1). Use the ^ key for the exponents. Write your answer as the example: (x+2)^2+(y-5)^2=49

Algebra ->  Equations -> SOLUTION: Write the equation of the circle with center (-4, 11) and containing the point (5, -1). Use the ^ key for the exponents. Write your answer as the example: (x+2)^2+(y-5)^2=49      Log On


   



Question 1077799: Write the equation of the circle with center (-4, 11) and containing the point (5, -1). Use the ^ key for the exponents.

Write your answer as the example: (x+2)^2+(y-5)^2=49

Found 3 solutions by josgarithmetic, MathTherapy, ikleyn:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Because of center given,
%28x%2B4%29%5E2%2B%28y-11%29%5E2 is the expression side of the equation.

The constant side, radius squared, is %285-%28-4%29%29%5E2%2B%28-1-11%29%5E2.
Put them together. Simplify.

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!
Write the equation of the circle with center (-4, 11) and containing the point (5, -1). Use the ^ key for the exponents.

Write your answer as the example: (x+2)^2+(y-5)^2=49
Equation of a circle: %28x+-+h%29%5E2+%2B+%28y+-+k%29%5E2+=+r%5E2
%285+-+-+4%29%5E2+%2B+%28-+1+-+11%29%5E2+=+r%5E2 ------- Substituting (5, - 1) for (x, y), and (- 4, 11) for (h, k)

highlight_green%28%28y+%2B+4%29%5E2+%2B+%28x+-+11%29%5E2+=+225%29%29 ------- Substituting (- 4, 11) for (h, k), and 225 for r%5E2

Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.
Write the equation of the circle with center (-4, 11) and containing the point (5, -1). Use the ^ key for the exponents.
~~~~~~~~~~~~~~~~~~~

Write your answer as the example: (x+2)^2+(y-5)^2=49
Equation of a circle: %28x+-+h%29%5E2+%2B+%28y+-+k%29%5E2+=+r%5E2
%285+-+%28-4%29%29%5E2+%2B+%28-+1+-+11%29%5E2+=+r%5E2 ------- Substituting (5, - 1) for (x, y), and (- 4, 11) for (h, k)

highlight_green%28%28x+%2B+4%29%5E2+%2B+%28y+-+11%29%5E2+=+15%5E2%29%29 ------- Substituting (- 4, 11) for (h, k), and 15%5E2 for r%5E2,    or   
highlight_green%28%28x+%2B+4%29%5E2+%2B+%28y+-+11%29%5E2+=+225%29%29.