document.write( "Question 154450: This one is a little tough for me so I could please use some help!
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document.write( "Find an equation of the circle having center (4,-3) and radius 5? \n" );
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Algebra.Com's Answer #113735 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Find an equation of the circle having center (4,-3) and radius 5? \n" ); document.write( "--------------- \n" ); document.write( "Plot the point (4,-3) on an x/y coordinate system. \n" ); document.write( "Draw a circle around it with radius approximately 5. \n" ); document.write( "Pick any point on that circle and label it (x,y) \n" ); document.write( "From that point draw a segment perpendicular to the line y=-3. \n" ); document.write( "Draw a radius sement from (4,-3) to (x,y) \n" ); document.write( "------------------ \n" ); document.write( "You should see a right triangle with vertices at \n" ); document.write( "(4,-3), (x,y) and (x,-3) \n" ); document.write( "That right triangle has hypotenuse = 5, \n" ); document.write( "a side of length y+3 and a side of length x-4. \n" ); document.write( "-------------------------- \n" ); document.write( "Using Pythagoras you have: \n" ); document.write( "(x-4)^2 + (y--3)^2 = 5^2 \n" ); document.write( "or \n" ); document.write( "(x-4)^2 + (y+3) ^2 = 5^2 \n" ); document.write( "That is the equation for every point on th circle. \n" ); document.write( "================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |