document.write( "Question 233885: I have a question regarding a previous question that was answered. It's under question #144072: \r
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document.write( "Q:Solve by factoring.
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document.write( "The radius of a circle is increased by 3 in., which increases the area by 100 in^2. Find the radius of the original circle. Round to the nearest hundredth.
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document.write( "Please answer.This question is from textbook Beginning Algebra with Applications\r
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document.write( "The answer was given as:\r
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document.write( "1. pi*r^2=A original\r
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document.write( "(this is clear)
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document.write( "2. pi*(r+3)^2=A+100 new \r
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document.write( "(this is clear)
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document.write( "3. pi(r^2+6r+9)=A+100\r
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document.write( "(this is clear)
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document.write( "4. pi(r^2+6r+9)-100=A\r
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document.write( "(this is clear)
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document.write( "5. pi(r^2+6r+9)-100=pi*r^2\r
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document.write( "(please explain this step? I don't understand how the transition took place from moving the \"pi\" from the front to placing it behind the 100 in the parentheses)? Please write out the step?
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document.write( "6. r^2+6r+9-(100/pi)=r^2\r
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document.write( "(this is clear)
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document.write( "7. 6r+9-31.83=0\r
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document.write( "(this is clear)
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document.write( "8. 6r=22.83\r
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document.write( "(this is clear)
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document.write( "9. r=3.81\r
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Algebra.Com's Answer #172575 by Alan3354(69443)![]() ![]() You can put this solution on YOUR website! 5. pi(r^2+6r+9)-100=pi*r^2 \n" ); document.write( "(please explain this step? I don't understand how the transition took place from moving the \"pi\" from the front to placing it behind the 100 in the parentheses)? Please write out the step? \n" ); document.write( "----------------- \n" ); document.write( "The left side is the area after r is increased by 3 to (r+3). Subtracting the 100 makes it equal to the area when the radius was still r. \n" ); document.write( "------------------ \n" ); document.write( "6. r^2+6r+9-(100/pi)=r^2 \r \n" ); document.write( "\n" ); document.write( "(this is clear) \n" ); document.write( "7. 6r+9-31.83=0 \n" ); document.write( "(this is clear) \n" ); document.write( "8. 6r=22.83 \n" ); document.write( "(this is clear) \n" ); document.write( "9. r=3.81 \n" ); document.write( " |