document.write( "Question 1125864: 1. Rearrange the following formula to make y the subject of the equation.
\n" ); document.write( "a. b. c.
\n" ); document.write( "d=7y−4 k=−3y+5+6y
\n" ); document.write( "t=−8(y−1)2
\n" ); document.write( "2.
\n" ); document.write( "3t − 6 = − 2t + 6\r
\n" ); document.write( "\n" ); document.write( "Solve for t.
\n" ); document.write( "Prove your solution is correct.
\n" ); document.write( "3. The area A of a circle is given by the equation: A= π r2
\n" ); document.write( "where π is a constant approximately equal to 22 and r is the radius of the circle. 7
\n" ); document.write( "What is the radius of a circle if it has an area of 616 cm2?
\n" ); document.write( "4. Find the gradient and the intercept of the following two lines:
\n" ); document.write( "a. y=2x+4
\n" ); document.write( "b. 2y–2x=4
\n" ); document.write( "c. Are these two lines parallel? Justify your answer.\r
\n" ); document.write( "\n" ); document.write( "a. Expand the following 3x(y − x2 − 2x)
\n" ); document.write( "a. b.
\n" ); document.write( "b. Factorise the following expression: 4a3b + 6ab2 \n" ); document.write( "
Algebra.Com's Answer #742201 by MathLover1(20850)\"\" \"About 
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1. Rearrange the following formula to make \"y\" the subject of the equation.\r
\n" ); document.write( "\n" ); document.write( "a.
\n" ); document.write( "\"d=7y-4\"
\n" ); document.write( "\"d%2B4=7y\"
\n" ); document.write( "\"y=%28d%2B4%29%2F7\"\r
\n" ); document.write( "\n" ); document.write( "b. \r
\n" ); document.write( "\n" ); document.write( "\"k=-3y%2B5%2B6y\"
\n" ); document.write( "\"k=5%2B3y\"
\n" ); document.write( "\"k-5=3y\"
\n" ); document.write( "\"y=%28k-5%29%2F3\"\r
\n" ); document.write( "\n" ); document.write( "c.\r
\n" ); document.write( "\n" ); document.write( "\"t=-8%28y-1%29%5E2\"
\n" ); document.write( "\"t%2F%28-8%29=%28y-1%29%5E2\"
\n" ); document.write( "\"-t%2F8=%28y-1%29%5E2\"
\n" ); document.write( "\"-sqrt%28t%2F8%29=sqrt%28%28y-1%29%5E2%29\"
\n" ); document.write( "\"-sqrt%28t%29%2Fsqrt%282%5E2%2A2%29=y-1\"
\n" ); document.write( "\"-sqrt%28t%29%2F2sqrt%282%29=y-1\"
\n" ); document.write( "\"y=1-sqrt%28t%29%2F2sqrt%282%29\"
\n" ); document.write( "\"y=1-%28sqrt%28t%29sqrt%282%29%29%2F%282sqrt%282%29sqrt%282%29%29\"
\n" ); document.write( "\"y=1-%28sqrt%28t%29sqrt%282%29%29%2F%282%2A2%29\"
\n" ); document.write( "\"y=1-%28sqrt%28t%29sqrt%282%29%29%2F4\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "2.
\n" ); document.write( "\"3t+-6+=+-2t+%2B+6\"\r
\n" ); document.write( "\n" ); document.write( "Solve for\"+t\".
\n" ); document.write( "\"3t+%2B2t+=+6+%2B+6\"
\n" ); document.write( "\"5t+=+12\"
\n" ); document.write( "\"t+=+12%2F5\"\r
\n" ); document.write( "\n" ); document.write( "Prove your solution is correct.
\n" ); document.write( "\"3t+-6+=+-2t+%2B+6\"....substitute \"t\"
\n" ); document.write( "\"3%2812%2F5%29+-6+=+-2%2812%2F5%29+%2B+6\"
\n" ); document.write( "\"36%2F5+-%286%2A5%29%2F5+=+-24%2F5+%2B+%286%2A5%29%2F5\"
\n" ); document.write( "\"36%2F5+-30%2F5+=+-24%2F5+%2B+30%2F5\"
\n" ); document.write( "\"6%2F5+=6%2F5\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "3. \r
\n" ); document.write( "\n" ); document.write( "The area \"A\" of a circle is given by the equation:
\n" ); document.write( "\"A=+pi%2A+r%5E2\" where \"pi\" is a constant approximately equal to \"3.14\" and \"r+\"is the radius of the circle. \r
\n" ); document.write( "\n" ); document.write( "What is the radius of a circle if it has an area of \"616cm%5E2\"?\r
\n" ); document.write( "\n" ); document.write( "\"616cm%5E2=+pi%2A+r%5E2\"\r
\n" ); document.write( "\n" ); document.write( "\"616cm%5E2%2F3.14=+r%5E2\"\r
\n" ); document.write( "\n" ); document.write( "\"r=sqrt%28616cm%5E2%2F3.14%29\"\r
\n" ); document.write( "\n" ); document.write( "\"r=14.01cm\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "4. \r
\n" ); document.write( "\n" ); document.write( "Find the gradient and the intercept of the following two lines:\r
\n" ); document.write( "\n" ); document.write( "first arrange the line’s equation into slope-intercept form which is \"y+=+mx+%2B+b\"
\n" ); document.write( " If \"y\" is alone on the left side, then \"m\" is the slope of line, and \"b\" will just be the y-intercept of that line\r
\n" ); document.write( "\n" ); document.write( "a.
\n" ); document.write( "\"y=2x%2B4\"... already in slope-intercept form
\n" ); document.write( "so, \"m=2\" and y-intercept \"b=4\"\r
\n" ); document.write( "\n" ); document.write( "b.
\n" ); document.write( "\"2y-2x=4\"
\n" ); document.write( "\"2y=2x%2B4\"
\n" ); document.write( "\"y=2x%2F2%2B4%2F2\"
\n" ); document.write( "\"y=x%2B2\"
\n" ); document.write( "so, \"m=1\" and y-intercept \"b=2\"\r
\n" ); document.write( "\n" ); document.write( "c. Are these two lines parallel? Justify your answer.\r
\n" ); document.write( "\n" ); document.write( "these lines are \"not\" parallel because parallel lines have \"same\" slopes
\n" ); document.write( "as we can see one line has a slope \"m=2\" and other line \"m=1\"\r
\n" ); document.write( "\n" ); document.write( "here is the graph:\r
\n" ); document.write( "\n" ); document.write( "\"+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+2x%2B4%2C+x%2B2%29+\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "a. Expand the following \"3x%28y+-x%5E2+-+2x%29\"
\n" ); document.write( " \"3xy+-3x%2Ax%5E2+-+3x%2A2x%29\"
\n" ); document.write( "\"3xy+-3x%5E3+-+6x%5E2%29\"\r
\n" ); document.write( "\n" ); document.write( "b. Factorize the following expression: \"4a3b+%2B+6ab%5E2+\"\r
\n" ); document.write( "\n" ); document.write( "\"4a%5E3%2Ab+%2B+6ab%5E2=2ab%282a%5E2%2B3b%29+\"\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
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