Monday, 8 October 2012

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33 comments:

  1. Unknown9 October 2012 at 02:42

    Homework in Math
    1)3x^2+3y^2+24v-6y+7=0
    (3x^2+3y^2+24v-6y+7)/3=0
    x^2+y^2+8x-2y=-7/3
    (x^2+8x+16)+(y^2-2y+1)=-7/3+16+1
    (x+4)^2+(y-1)^2=44/3
    c(-4,1) r=√44/3
    2)4x^2+4y^2-16x+8y-8=0
    (4x^2+4y^2-16x+8y-8)/4=0
    x^2+y^2-4x+4y=4
    (x^2-4x+4)+(y^2+4y+4)=4+4+4
    (x-2)^2+(y+2)^2=12
    c(2,-2) r=2√3
    3)x^2+y^2+10x+7=0
    y^2+(x^2+10x+25)=-7
    y^2+(x+5)^2=-7+25
    c(0,-5) r=3√2
    4)x^2+y^2+10x+7=0
    y^2+(x^2+10x+25)=-7
    y^2+(x+5)^2=-7+25
    c(0,-5) r=3√2
    5)x^2+y^2+7x-8y+5=0
    (x^2+7x+49/4)+(y^2-8y+16)=-5+49/4+16
    (x+7/2)^2+(y-4)=93/4
    c(-7/2,4) r=√93/4

    ReplyDelete
  2. Unknown9 October 2012 at 03:29

    1. 3x^2+3y^2+24x-6y+7=0
    factor out 3 and transpose the number without a variable
    x^2+y^2+8x-2y=-7/3
    combine x's and y's and complete the square
    [x^2+8x+16]+[y^2-2y+1]=-7/3+16+1
    [x+4]^2+[y-1]^2=44/3

    C[-4,1]
    r= sqrt [44/3] rationalize
    r= 2sqrt[33]/3

    2. 4x^2+4y^2-16x+8y-8=0
    factor out 4 and transpose the number without a variable
    x^2+y^2-4x+2y=2
    complete the square
    [x^2-4x+4]+[y^2+2y+1]=2+4+1
    [x-2]^2+[y+1]^2=7

    C[2,-1]
    r=sqrt7

    3. x^2+y^2+10x+7=0
    combine x's and y's and complete the square
    [x^2+10x+25]+[y]^2=-7+25
    [x+5]^2+[y]^2=18

    C[-5,0]
    r=3 sqrt2

    4. x^2+y^2+8x-10y-12=0
    [x^2+8x+16]+[y^2-10y+25]=12+16+25
    [x+4]^2+[y-5]^2=53

    C[-4,5]
    r= sqrt53

    5. x^2+y^2+7x-8y+5=0
    [x^2+7x+49/4]+[y^2-8y+16]=-5+49/4+16
    [x+7/2]^2+[y-4]^2=93/4

    C[-7/2,4]
    R=sqrt[93]/2

    ReplyDelete
  3. Fristine9 October 2012 at 03:58

    Homework
    1.) x^2+y^2+8x-2y+7/3=0
    x^2+y^2+8x=-7/3
    (x^2+8x+16)+(y^2-2y+1)=-7/3
    (x+4)^2+(y-1)^2=-7/3
    C(-4,1) r= √7/3i
    2.) 4x^2+4y^2-16x+8y-8=0
    (4x^2+4y^2-16x+8y-8)/ 4=0/ 4
    x^2+y^2-4x+2y-2=0
    x^2+y^2-4x+2y=2
    (x^2-4x+4)+(y^2+2y+1)=2
    (x-2)^2+(y+1)^2=2
    C(2,-1) r=2
    3.) x^2+y^2+10x+7=0
    (x^2+10x+25)+ y^2= -7
    (x+5)^2+y^2=-7
    C(-5,0) r= √7i
    4.)x^2+y^2+8x-10y-12=0
    x^2+y^2+8x-10y=12
    (x^2+8x+16)+(y^2-10y+25)=12
    (x+4)^2+(y+5)^2=12
    C(-4,-5)
    r= 2√3
    5.)x^2+y^2+7x-8y+5=0
    (x^2+7x+49/4)+(y^2-8y+16)=-5
    (x+7/2)^2+(y-4)^2=-5
    C(-7/2,4) r= √5i

    ReplyDelete
  4. Unknown9 October 2012 at 04:10

    Homework
    1.) x^2+y^2+8x-2y+7/3=0
    x^2+y^2+8x=-7/3
    (x^2+8x+16)+(y^2-2y+1)=-7/3
    (x+4)^2+(y-1)^2=-7/3
    ANSWER: C(-4,1) r= √7/3i

    2.) 4x^2+4y^2-16x+8y-8=0
    (4x^2+4y^2-16x+8y-8)/ 4=0/ 4
    x^2+y^2-4x+2y-2=0
    x^2+y^2-4x+2y=2
    (x^2-4x+4)+(y^2+2y+1)=2
    (x-2)^2+(y+1)^2=2
    aNSWER: C(2,-1) r=2

    3.) x^2+y^2+10x+7=0
    (x^2+10x+25)+ y^2= -7
    (x+5)^2+y^2=-7
    ANSWER: C(-5,0) r= √7i

    4.)x^2+y^2+8x-10y-12=0
    x^2+y^2+8x-10y=12
    (x^2+8x+16)+(y^2-10y+25)=12
    (x+4)^2+(y+5)^2=12
    ANSWER:C(-4,-5) r= 2√3

    5.)x^2+y^2+7x-8y+5=0
    (x^2+7x+49/4)+(y^2-8y+16)=-5
    (x+7/2)^2+(y-4)^2=-5
    ANSWER: C(-7/2,4) r= √5i

    ReplyDelete
  5. Unknown9 October 2012 at 04:16

    Homework.

    1) 3x^2+3y^2+24x-6y+7=0
    3x^2+3y^2+24x-6y+7=0/3
    x^2+y^2+8x-2y+7/3 =0
    (x^2+8x ) + (y^2-2y )=-7/3
    (x^2+8x+16) + (y^2-2y+1)=[-7/3+16+1]3
    (x+4)^2 + (y-1)^2 =44/3
    C (-4,1) ✓
    r = √44/3 = (2√11/3)(√3/√3) = 2√33/3 ✓



    2) 4x^2+4y^2-16x+8y-8=0
    4x^2+4y^2-16x+8y-8=0/4
    x^2+y^2-4x+2y-2=0
    (x^2-4x ) + (y^2+2y )=2
    (x^2-4x+4) + (y^2+2y+1)=2+4+1
    (x-2)^2 + (y+1)^2 = 7
    C (2,-1) ✓
    r = √7 ✓



    3) x^2+y^2+10x+7=0
    (x^2+10x ) + y^2=-7
    (x^2+10x+25) + y^2=-7+25
    (x+5)^2+y^2=18
    C (-5,0) ✓
    r = √18 = 3√2 ✓



    4) x^2+y^2+8x-10y-12=0
    (x^2+8x ) + (y^2-10y )=-12
    (x^2+8x+16) + (y^2-10y+25)=-12+16+25
    (x+4)^2 + (y-5)^2=53
    C (-4,5) ✓
    r = √53 ✓




    5) x^2+y^2+7x-8y+5=0
    (x^2+7x ) + (y^2-8y )=-5
    (x^2+7x+49/4) + (y^2-8y+16)=[-5+49/4+16]4
    (x+7/2)^2 + (y-4)^2
    C (-7/2, 4) ✓
    r = √93/4 = √93/2 ✓

    ReplyDelete
  6. Unknown9 October 2012 at 04:21

    Math Homework for October 9, 2012

    1) 3x^2 + 3y^2 + 24x - 6y + 7 = 0
    (3x^2 + 3y^2 + 24x - 6y = -7)/3
    x^2 + y^2 + 8x - 2y = -7/3
    (x^2 + 8x + 16) + (y^2 - 2y + 1) = -7/3 + 16 +1
    (x + 4)^2 + (y -1)^2 = 44/3
    ANSWER: C(-4,1) ; r = √44/√3 = 2√11/√3

    2) 4x^2 + 4y^2 - 16x + 8y - 8 = 0
    (4x^2 + 4y^2 - 16x + 8y = 8)/4
    x^2 + y^2 - 4x + 2y = 2
    (x^2 - 4x + 4) + (y^2 + 2y + 1) = 2 + 4 + 1
    (x - 2)^2 + (y + 1)^2 = 7
    ANSWER: C(2,-1) ; r = √7

    3) x^2 + y^2 + 10x + 7 = 0
    (x^2 + 10x + 25) + y^2 = -7
    (x + 5)^2 + y^2 = -7 + 25 -> 18
    ANSWER: C(-5,0) ; r = 3√2

    4) x^2 + y^2 + 8x - 10y - 12 = 0
    (x^2 + 8x + 16) + (y^2 - 10y + 25) = 12 + 16 + 25
    (x + 4)^2 + (y - 5)^2 = 53
    ANSWER: C(-4,0) ; r = √53

    5) x^2 + y^2 + 7x - 8y + 5 = 0
    (x^2 + 7x + 49/4) + (y^2 - 8y + 16) = -5 + 49/4 + 16
    (x + 7/2)^2 + (y - 4)^2 = 93/4
    ANSWER: C(-7/2,4) ; r = √93/2

    ReplyDelete
  7. Unknown9 October 2012 at 04:42

    Assignment

    1. 3x^2+3y^2+24x-6y+7=0
    3x^2+3y^2+24x-6y+7/3
    x^2+y^2+8x-2y = -7/3
    (x^2+8x ) + (y^2-2y ) = -7/3
    (x^2+8x+16) + (y^2-6y+1) = -7/3+16+1
    (x+4)^2 + (y-1)^2 = 44/3

    >> C(-4, 1)
    >>r=2√33

    2. 4x^2+4y^2-16x+8y-8=0
    4x^2+4y^2-16x+8y-8/4
    x^2+y^2-4x+2y =2
    (x^2-4x ) + (y^2+2y ) = 2
    (x^2-4x+4) + (y^2+2y+1) = 2+4+1
    (x-2)^2 + (y-1)^2 = 7

    >> C(2, 1)
    >>r=√7

    3. x^2+y^2+10x+7=0
    x^2+10x+y^2 = -7
    (x^2+10x ) +y^2 = -7
    (x^2+10x+25) +y^2 = -7+25
    (x+5)^2 + y^2 = 18

    >> C(-5, 0)
    >>r=3√2

    4. x^2+y^2+8x-10y-12=0
    x^2+y^2+8x-10y =12
    (x^2+8x ) + (y^2-10y ) =12
    (x^2+8x+16) + (y^2-10y+25) =12+16+25
    (x+4)^2 + (y-5)^2 =63

    >> C(-4,5)
    >>r=√63

    5.x^2+y^2+7x-8y+5=0
    x^2+y^2+7x-8y= -5
    (x^2+7x ) + (y^2-8y ) =-5
    (x^2+7x+49/4) + (y^2-8y+16) = -5+49/4+16
    (x+7/2)^2 + (y-4)^2 = 93/4

    >> C(-7/2,4)
    >>r=2√93




    ReplyDelete
  8. Unknown9 October 2012 at 05:06

    1.)x^2+y^2+8x-2y+7/3=0
    (x^2+8x )+(y^2-2y )= 7/3
    (x^2+8x+16)+(y^2-2y+1)= 7/3+16+1
    (x+4)^2+(y-1)^2= 58/3
    ♦c(-4,1)♦
    ♦r= square root of 58/3 = square root of 174♦

    2.)4x^2+4y^2-16x+8y-8=0
    4(4x^2+4y^2-16x+8y-8=0)
    x^2+y^2-4x+2y-2=0
    (x^2-4x )+(y^2+2y )=8
    (x^2-4x+4)+(y^2+2y+1)=8+4+1
    (x-2)^2+(y+1)^2 = 13
    ♦c(2,-1)♦
    ♦r = square root of 13♦

    3.)x^2+y^2+10x+7=0
    (x^2+10x )+y^2 = -7
    (x^2+10x+25)+y^2 = -7+25
    (x+5)^2+y^2= 18
    ♦c(-5,0)♦
    ♦r = 3 square root of 2♦

    4.)x^2+y^2+8x-10y-12=0
    (x^2+8x )+(y^2-10y )=12
    (x^2+8x+16)+(y^2-10y+25)=12+16+25
    (x+4)^2+(y-5)^2=53
    ♦c(-4,5)♦
    ♦r = square root of 53♦

    5.)x^2 + y^2 + 7x - 8y + 5 = 0
    (x^2+7x )+(y^2=8y )= -5
    (x^2+7x+49/4)+(y^2+8y+16)= -5+49/4+16
    (x+7/2)^2+(y+4)^2 = 93/4
    ♦c(-7/2,-4)♦
    ♦r = 2 square root of 93♦

    ReplyDelete
  9. Unknown9 October 2012 at 05:07

    1.) x^2 + y^2 + 8x-2y + 7/3 = 0
    x^2 + y^2 +8x = -7/3
    (x^2 + 8x + 16)+(y^2 - 2y + 1) = -7/3
    (x+ 4)^2 +(y - 1)^2 = -7/3
    C (-4 , 1)
    r = √7/3i

    2.) 4x^2 + 4y^2 - 16x + 8y – 8 = 0
    (4x^2 + 4y^2 - 16x + 8y - 8)/ 4 = 0/ 4
    x^2 + y^2 - 4x + 2y – 2 = 0
    x^2 + y^2 - 4x + 2y = 2
    (x^2 - 4x + 4) + (y^2 + 2y + 1) = 2
    (x - 2)^2 + (y + 1)^2 = 2
    C (2 , -1)
    R = 2

    3.) x^2 + y^2 + 10x + 7 = 0
    (x^2 +10x +25)+ y^2 = -7 + 25
    (x + 5)^2 + y^2 = 18
    C (-5,0)
    r = square-root of 18
    r = 3 square-root of 2

    4.) x^2 + y^2 + 8x - 10y – 12 = 0
    (x^2 + 8x) + (y^2 – 10y) = 12
    (x^2 + 8x + 16) + (y^2 – 10y + 25) = 12 + 16 + 25
    (x + 4)^2 + (y - 5)^2 = 53
    C (-4,5)
    R = square-root of 53

    5.) x^2 + y^2 + 7x - 8y + 5 = 0
    (x^2 + 7x) + (y^2 – 8y) = -5
    (x^2 + 7x + 49/4) + (y^2 – 8y + 16) =-5 + 49/4 + 16
    (x + 7/2)^2 + (y - 4)^2 = 93/4
    C (-7/2 , 4)
    R = square-root of 93 OVER 2

    ReplyDelete
  10. Unknown9 October 2012 at 05:37

    3x^2 + 3y^2 + 24x - 6y +7 =0
    (x+4)^2 + (y+1)^2 = 14/2/3
    c(-4,-1),r= square rooot of 14/2/3

    4x^2 + 4y^2 - 10x + 8y - 8=0

    x^2 +y^2 + 10x + 7 = 0
    (x+5)^2 + y^2 = -7
    c(-5,0), r= 3 square root of 2

    x^2 + y^2 + 8x- 10y - 12 =0
    (x+4)^2 + (y+5)^2 = 53
    c(-4,-5), r= square root of 53

    X^2 + y^2 + 7x - 8y + 5 =0
    (x+3.5)^2 + y+4)^2 = 16.75
    C(-3.5,-4),r= square root of 16.75

    ReplyDelete
  11. Unknown9 October 2012 at 06:00

    Assignment for Oct. 9

    1.) 3x^2 + 3y^2 + 24x - 6y +7 = 0
    3x^2 + 3y^2 + 24x - 6y +7/3 = 0
    x^2 + y^2 + 8x - 2y + 7/3 = 0
    (x^2 + 8x ) + (y^2 -2y ) = -7/3
    (x^2 + 8x + 16) + (y^2 - 2y + 1) = -7/3 + 16 + 1
    (x^2 + 8x + 16) + (y^2 - 2y + 1) = 44/3
    (x + 4)^2 + (y - 1)^2 =44/3
    Ans: c( -4, 1 ) r= 2√11/3

    2.) 4x^2 + 4y^2 - 16x + 8y - 8 = 0
    4x^2 + 4y^2 - 16x + 8y - 8/4 = 0
    x^2 + y^2 - 4x + 2y - 2 = 0
    (x^2 - 4x ) + (y^2 + 2y ) = 2
    (x^2 - 4x + 4) + (y^2 + 2y + 1) = 2 + 4 + 1
    (x - 2)^2 + (y + 1)^2 r = 7
    Ans: c( 2, -1 ) r = √7

    3.) x^2 + y^2 + 10x + 7 = 0
    (x^2 + 10x ) + y^2 = - 7
    (x^2 + 10x + 25) + y^2 = -7
    (x + 5)^2 + y^2 = -7
    Ans: c( -5, 0 ) r =√-7

    4.) x^2 + y^2 + 8x - 10y - 12 = 0
    (x^2 + 8x ) + (y^2 - 10y ) = 12
    (x^2 + 8x + 16) + (y^2 - 10y + 25) = 12 + 16 + 25
    ( x + 4 )^2 + ( y - 5 )^2 = 53
    Ans: c( -4, 5 ) r = √53

    5.) x^2 + y^2 + 7x - 8y + 5 = 0
    ( x^2 + 7x ) + ( y^2 - 8y ) = -5
    ( x^2 + 7x + 49/4 ) + ( y^2 - 8y + 16 ) = -5 + 49/4 + 16
    ( x + 7)^2 + ( y - 4 )^2 = 133/4
    Ans: c( -7, 4 ) r = 2√133/1

    ReplyDelete
  12. Unknown9 October 2012 at 06:31

    Homework for October 9, 2012.
    1. 3x^2 + 3y^2 + 24x - 6y + 7 = 0
    3(x^2 + 8x + 16) + 3(y^2 - 2y + 1) = 16 + 1 - 7
    3(x+4)^2 + 3(y-1)^2 = 10
    [c(-4,1) r=√10]

    2. 4x^2 + 4y^2 - 16x + 8y - 8 = 0
    4(x^2 - 16x + 64) + 4(y^2 + 8y + 16) = 8+16+64
    4(x-8)^2 + 4(y+4)^2 = 88
    [c(8,-4) r=2√22]

    3. x^2 + y^2 + 10x + 7 = 0
    (x^2 + 10x + 25) + (y^2) = 25-7
    (x+5)^2 + (y)^2 = 18
    [c(-5,0) r=3√2]

    4. x^2 + y^2 + 8x + - 10y - 12 = 0
    (x^2 + 8x + 16) + (y^2 - 10y + 25) = 12+16+25
    (x+4)^2 + (y-5)^2 = 53
    [c(-4,5) r=√53]

    5. x^2 + y^2 + 7x - 8y + 5 = 0
    (x^2 + 7x + 49/4) + (y^2 - 8y + 16) = 49/4+16-5
    (x+7/2)^2 + (y-4)^2 = 93/4
    [c(-7/2,4) r=√93/4]

    ReplyDelete
  13. Unknown9 October 2012 at 08:04

    Math Homework
    10/9/12
    1.) 3x^2+3y^2+24x-6y+7=0
    3x^2+3y^2+24x-6y+7/3=0
    x^2+y^2+8x-2y+7/3=0
    (x^2+8x+16)+(y^2-2y+1)=-7/3+16/1+1/1
    (x+4)^2+(y-2)^2=4
    c(-4,2)
    r=4
    =2
    2.) 4x^2+4y^2-16x+8y-8=0
    4x^2+4y^2-16x+8y-8/4=0
    (x^2-4x+4)+(y^2+2y+1)=8+4+1
    (x-2)^2+(y+1)^2=13
    c(2,-1)
    r=13
    3.) x^2+y^2+10x+7=0
    (x^2+10x+25)+(y^2)=-7+25
    (x+5)^2+y^2=18
    c(-5,0)
    r=18
    =32
    4.) x^2+y^2+8x-10y-12=0
    (x^2+8x+16)+(y^2-10y+25)=12+16+25
    (x+4)^2+(y-5)^2=53
    c(-4,5)
    r=53
    5.) x^2+y^2+7x-8y+5=0
    (x^2+7x+49/4)+(y^2-8y+16)=-5+49/4+16
    (x+7/2)^2+(y-4)^2=93/4
    c(-7/2,4)
    r=93/4
    =93/2

    ReplyDelete
  14. Unknown10 October 2012 at 02:31

    Math Homework 10/10/12

    1. c(0,0)r=7
    x^2+y^2=7^2
    x^2+y^2=49
    Answer: x^2+y^2-49=0

    2. c(0,0)r=8/9
    x^2+y^2=8/9^2
    x^2+y^2=64/81
    Answer: 81x^2+81y^2-64=0

    3. c(-1,-5)r=8/7
    (x+1)^2+(x+5)^2=8/7^2
    (x+1)^2+(x+5)^2=64/49
    x^2+2x+1+y^2+10y+25-64/49=0
    Answer: 49x^2+49y^2+98x+490y+1210=0

    4. c(-1,-4)r=6
    (x+1)^2+(y+4)^2=6^2
    (x+1)^2+(y+4)^2=36
    Answer: x^2+y^2+2x+8y-53=0

    5. c(5,-3)r=5
    (x-5)^2+(y+3)^2=5^2
    (x-5)^2+(y+3)^2=25
    Answer: x^2+y^2-10x+6y-1=0

    ReplyDelete
  15. Unknown10 October 2012 at 03:17

    1. C[0,0] r=7

    x^2+y^2-49=0

    2. C[0,0] r=8/9
    x^2+y^2-64/81=0

    81x^2+81y^2-64=0

    3. C[-1,-5] r=8/7
    [x+1]^2+[y+5]^2-64/49=0
    x^2+2x+1+y^2+10y+25-64/49=0

    49x^2+49y^2+98x+490y+1210=0

    4. C[-1,-4] r=6
    [x+1]^+[y+4]^2-36=0
    x^2+2x+1+y^2+8y+16-36=0

    x^2+y^2+2x+8y-19=0

    5. C[5,-3] r=5
    [x-5]^2+[y+3]^2-25=0
    x^2-10x+25+y^2+6y+9-25=0

    x^2+y^2-10x+6y+9=0

    ReplyDelete
  16. Unknown10 October 2012 at 03:41

    Homework today, October 10.

    6) C (0,0) r = 7
    x^2+y^2=(7)^2
    x^2+y^2-49=0 ✓

    7) C (0,0) r = 8/9
    x^2+y^2=(8/9)^2
    x^2+y^2-64/81=0
    81x^2+81y^2-64=0 ✓

    8) C (-1,-5) r = 8/7
    (x+1)^2 + (y+5)^2= (8/7)^2
    x^2+2x+1+y^2+10y+25-64/49=0
    x^2+2x+1+y^2+10y+25-64/49=0
    49x^2+98x+49+49y^2+490y+1225-64=0
    49x^2+49y^2+98x+490y+1210=0 ✓

    9) C (-1,-4) r = 6
    (x+1)^2 + (y+4)^2= (6)^2
    x^2+2x+1+y^2+8y+16=36
    x^2+y^2+2x+8y-19=0 ✓

    10) C (5,-3) r = 5
    (x-5)^2 + (y+3)^2= (5)^2
    x^2-10x+25+y^2+6y+9=25
    x^2+y^2-10x+6y+9=0 ✓

    ReplyDelete
  17. Unknown10 October 2012 at 03:50

    Math Homework for October 10, 2012

    6) C(0,0) r = 7
    x^2 + y^2 = (7)^2
    x^2 + y^2 = 49
    ANSWER: x^2 + y^2 - 49 = 0

    7) C(0,0) r = 8/9
    x^2 + y^2 = (8/9)^2
    x^2 + y^2 = 64/81
    x^2 + y^2 - 64/81 = 0
    ANSWER: 81x^2 + 81y^2 - 64 = 0

    8) C(-1,-5) r = 8/7
    (x + 1)^2 + (y + 5)^2 = (8/7)^2
    x^2 + 2x + 1 + y^2 + 10y + 25 - 64/49 = 0
    49x^2 + 98x + 49 + 49y^2 + 490y + 1225 - 64 = 0
    ANSWER: 49x^2 + 49y^2 + 98x + 490y + 1210 = 0

    9) C(-1,-4) r = 6
    (x + 1)^2 + (y + 4)^2 = (6)^2
    x^2 + 2x + 2 + y^2 + 8y + 16 - 36 = 0
    ANSWER: x^2 + y^2 + 2x + 8y - 18 = 0

    10) C(5,-3) r = 5
    (x - 5)^2 + (y + 3)^2 = (5)^2
    x^2 - 10x + 25 + y^2 + 6y + 9 -25 = 0
    ANSWER: x^2 + y^2 - 10x + 6y + 9 = 0

    ReplyDelete
  18. Unknown10 October 2012 at 04:14

    Math HW 10/10/12
    6.C(0,0) r=7
    x^2 + y^2 - 49=0

    7.C(0,0)r=8/4
    x^2 + y^2 - 4=0

    8.c(-1,-5)r=8/7
    x^2 + 2x + 1 + y^2 + 10y + 25 - 64/49=0
    49x^2 + 49y^2 + 98x + 490y + 1210=0

    9.C(-1,-4)r=6
    x^2 + 2x + 1 + y^2 + 8 + 16 =36
    x^2 + y^2 + 2x + 8y - 19=0

    10.(5,-3)r=5
    x^2 - 10x + 25 + y^2 + 6y + 9 - 25=0
    x^2 + y^2 -10x + 6y + 9=0

    ReplyDelete
  19. Unknown10 October 2012 at 04:30

    Math Homework 10/10/12

    6.C(0,0) r=7
    x^2+y^2=7^2
    x^2+y^2=49
    ♦x^2+y^2-49=0♦

    7.C(0,0)r=8/4
    x^2+y^2=(8/4)^2
    x^2+y^2=64/16
    16(x^2+y^2-64/16=0)
    ♦16x^2+16y^2-64=0♦

    8.c(-1,-5)r=8/7
    (x+1)^2+(y+5)^2=(8/7)^2
    x^2+2x+2+y^2+10y+25=64/49
    x^2+y^2+2x+10y+25-64/49=0
    (x^2+y^2+2x+10y+1161/49=0)49
    ♦49x^2+49y^2+98x+490y+1161=0♦


    9.C(-1,-4)r=6
    (x+1)^2+(y+4)^2=6^2
    x^2+2x+1+y^2+8y+16=36
    x^2+2x+1+y^2+8y+16-36=0
    ♦x^2+y^2+2x+8y-19=0♦

    10.c(5,-3)r=5
    (x-5)^2+(y+3)^2=5^2
    x^2-10x+25+y^2+6y+9=25
    x^2-10x+25+y^2+6y+9-25=0
    ♦x^2+y^2-10x+6y+9=0♦

    ReplyDelete
  20. Unknown10 October 2012 at 04:34

    Homework
    October 10, 2012

    1.) c(0,0) r=7
    x^2 + y^2 = (7)^2
    ANSWER: x^2 + y^2 - 49 = 0

    2.) c(0,0) r= 8/4
    x^2 + y^2 = (8/4)^2
    x^2 + y^2 = 64/16
    16x^2 + 16y^2 = 64
    ANSWER: x^2+y^2-4=0

    3.) c(-1,-5) r=8/7
    (x+1)^2 + (y+5)^2 = 64/49
    ANSWER: 49x^2 + 98x + 49y^2 + 490y + 1210 = 0

    4.) c(-1,-4) r=5
    (x+1)^2 + (y+4)^2 = 36
    ANSWER: x^2 + 2x + y^2 + 8y - 19 = 0

    5.) c(5,-3) r=5
    (x-5)^2 + (y+3)^2 = 25
    ANSWER: x^2 - 10x + y^2 + 6y + 9 = 0

    ReplyDelete
  21. Fristine10 October 2012 at 05:35

    Math Homework October 10, 2012

    6.) C(0,0) r=7
    x^2+y^2=7^2
    x^2+y^2-49=0

    7.) C(0,0) r= 8/4
    x^2+y^2=8/4^2
    x^2+y^2-64/16=0

    8.) C(-1,-5) r=8/7
    (x+1)^2 + (y+5)^2=64/49
    (x+1)(x+1) + (x+5)(x+5)
    x^2+y^2+2x+10y-64/49=0

    9.) C(-1,-4) r=6
    (x+1)^2 + (y+4)^2 = 6^2
    x^2+y^2+2x+8y-36=0

    10.) C(5,-3) r=5
    (x-5)^2+(y+3)^2 = 5^2
    x^2+y^2-10x+6y-25=0

    ReplyDelete
  22. Unknown10 October 2012 at 06:14

    HOMEWORK AS OF OCTOBER 10, 2012

    1.) C (0,0) r = 7
    X^2 + y^2 = 7^2
    --> X^2 + y^2 = 49

    2.) C (0,0) r = 8/4
    X^2 + y^2 = (8/4)^2
    16(X^2 + y^2 = 64/16)16
    --> 16x^2 + 16y^2 = 64

    3.) C (-1,-5) r = 8/7
    (x + 1)^2 + (y + 5)^2 = (8/7)^2
    (x + 1)^2 + (y + 5)^2 = 64/49
    49 (X^2 + 2x + 1 + y^2 + 10x + 25 = 64/49) 49
    49x^2 + 98x + 49 + 49y^2 + 490y + 1,225 = 64
    --> 49x^2 + 49y^2 + 98x + 490y + 1,210 = 0


    4.) C (-1,-4) r = 6
    (x + 1)^2 + (y + 4)^2 = 6^2
    X^2 + 2x + 1 + y^2 + 8y + 16 = 36
    --> X^2 + y^2 + 2x + 8y – 19 = 0

    5.) C (5,-3) r = 5
    (x - 5)^2 + (y + 3)^2 = 5^2
    X^2 – 10x + 25 + y^2 + 6y + 9 = 25
    --> X^2 + y^2 – 10x + 6y + 9 = 0

    ReplyDelete
  23. Unknown10 October 2012 at 07:14

    Math Homework
    10/10/12
    6.) c(0,0) r=7
    x^2+y^2=7^2
    = x^2+y^2-49=0
    7.) c(0,0) r=8/7
    x^2+y^2=(8/9)^2
    x^2+y^2=64/81
    = 81x^2+81y^2-64=0
    8.) c(-1,-5) r=8/7
    (x+1)^2+(y-5)^2=64/49
    x^2+2x+1+y^2-10y+25=64/69
    = 49x^2+98x+49y^2-490y+1210=0
    9.) c(-1,-4) r=6
    (x+1)^2+(y+4)^2=36
    x^2+2x+1+y^2+8y+16=36
    = x^2+2x+y^2+8y-35=0
    10.) (5,3) r=5
    (x-5)^2+(y+3)^2=25
    x^2-10x+25+y^2+6x+9=25
    = x^2-10x+y^2+6x-9=0

    ReplyDelete
  24. Unknown10 October 2012 at 07:28

    Math Homework
    6)C(0,0) r=7
    x^2+y^2=49

    7)C(0,0) R=8/9
    X^2+Y^2=64/81
    =81X^2+81Y^2=64

    8)C(-1,-5) r=8/7
    (x+1)^2+(y+5)^2=64/49
    =x^2+2x+1+y^2+10y+25=64/49
    =x^2+2x+y^2+10y=64/49-25-1
    =49x^2+98x+49y^2+490y=1210

    9)C(-1,-4) r=6
    =(x+1)^2+(y+4)^2=36
    =x^2+2x+y^2+8x=36-16-1
    =x^2+2x+y^2+8x=19

    10)C(5,-3) R=5
    =X^2+10X+25+Y^2-6Y+9=25
    =X^2+10X+Y^2-6Y=25-25-9
    =X^2+10X+Y^2-6Y=-9

    ReplyDelete
  25. Unknown10 October 2012 at 07:51

    HW for 10/09/12

    1) 3x^2 + 3y^2 + 24x - 6y +7 = 0
    3x^2 + 3y^2 + 24x - 6y +7/3 = 0
    x^2 + y^2 + 8x - 2y + 7/3 = 0
    (x^2 + 8x ) + (y^2 -2y ) = -7/3
    (x^2 + 8x + 16) + (y^2 - 2y + 1) = -7/3 + 16 + 1
    (x^2 + 8x + 16) + (y^2 - 2y + 1) = 44/3
    (x + 4)^2 + (y - 1)^2 =44/3

    A: C( -4, 1 ) & r= 2√11/3

    2) 4x^2 + 4y^2 - 16x + 8y - 8 = 0
    4x^2 + 4y^2 - 16x + 8y - 8/4 = 0
    x^2 + y^2 - 4x + 2y - 2 = 0
    (x^2 - 4x ) + (y^2 + 2y ) = 2
    (x^2 - 4x + 4) + (y^2 + 2y + 1) = 2 + 4 + 1
    (x - 2)^2 + (y + 1)^2 r = 7

    A: C( 2, -1 ) & r = √7

    3) x^2 + y^2 + 10x + 7 = 0
    (x^2 + 10x ) + y^2 = - 7
    (x^2 + 10x + 25) + y^2 = -7
    (x + 5)^2 + y^2 = -7

    A: C( -5, 0 ) & r =√-7

    4) x^2 + y^2 + 8x - 10y - 12 = 0
    (x^2 + 8x ) + (y^2 - 10y ) = 12
    (x^2 + 8x + 16) + (y^2 - 10y + 25) = 12 + 16 + 25
    ( x + 4 )^2 + ( y - 5 )^2 = 53

    A: C( -4, 5 ) & r = √53

    5) x^2 + y^2 + 7x - 8y + 5 = 0
    ( x^2 + 7x ) + ( y^2 - 8y ) = -5
    ( x^2 + 7x + 49/4 ) + ( y^2 - 8y + 16 ) = -5 + 49/4 + 16
    ( x + 7)^2 + ( y - 4 )^2 = 133/4

    A: C( -7, 4 ) & r = 2√133/1

    ReplyDelete
  26. Unknown11 October 2012 at 03:44

    1. Find an equation of a circle passing through points [1,0] [0,1] [-2,1]

    x2+y2+Dx+Ey+F=0

    [1,0] D+F=-1
    [0,1] E+F=-1
    [-2,1] -2D+E+F=-5

    [E+F=-1]-1
    -2D+E+F=-5
    -E-F=1
    -2D=-4

    D=2

    D+F=-1
    2+F=-1

    F=-3

    -2D+E+F=-5
    -2[2]+E-3=-5

    E=2

    ♣ x^2+y^2+2x+2y-3=0 ♣


    2. C[6,3] passing through [10,6]
    √[6-10]^2+[3-6]^2
    √16+9
    r=5

    [x-6]^2+[y-3]^2=25
    x^2-12x+36+y^2-6x+9-25=0

    ♣ x^2+y^2-12x-6x+20=0 ♣

    ReplyDelete
  27. Unknown11 October 2012 at 04:31

    Homework today, October 11.

    1) Find an eq. of the circle passing through the points (1,0) (0,1) (-2,1)

    (1,0) 1+0+D(1)+E(0)+f=0
    D+F=-1

    (0,1) 0+1+D(0)+e(1)+F=0
    E+F=-1

    (-2,1) 4+1-2D+E+F=0
    -2D+E+F=-5

    eq. 1 and eq. 2
    D+F=-1
    (E+F=-1)-1 -> so, this becomes.. -E-F=1
    cancel F
    D-E=0 eq.4

    eq. 2 and eq. 3
    (E+F=-1)-1 so this becomes.. -E-F=1
    -2D+E+F=-5
    -2D=-4
    D=2 eq.5
    2-E=0
    -E=-2
    E=2

    -2D+E+F=-5
    -4+2+F=-5
    F=-3

    x^2+y^2+2x+2y-3=0 ✓


    2) C(6,3) and passing (10,6)
    d=√(x2-x1)^2+(y2-y1)^2
    =√(10-6)^2+(6-3)^2
    =√16+9
    r=5

    (x-6)^2+(y-3)^2=(5)^2
    x^2-12x+36+y^2-6y+9=25
    x^2+y^2-12x-6y+20=0 ✓

    ReplyDelete
  28. Unknown11 October 2012 at 05:09

    HW

    1.) Find an eq passing through the pts (1,0) (0,1) (-2,1)

    EQ. 1 = 1+0+D+0+F=0
    = D+F= -1

    EQ. 2 = 0+1+0+E+F=0
    = E+F= -1

    EQ. 3 = 4+1-2D+E+F=0
    = -2D+E+F= -5

    EQ. 4 = (D+ F= -1)2 2D+ 2F= -2
    -2D+E+F= -5 -2D+E+F= -5
    ______________
    E+3F= -7 E+3F= -7
    (E+ F= -1)-1 -E- F= 1
    _______________
    2F= -6
    F= -3

    EQ. 5 = ( E+F= -1)-1 -E-F= 1
    -2D+E+F= -5 -2D+E+F= -5
    ______________
    -2D = -4
    D = 2

    -2D+E+F= -5
    -2(2) + E -3 = -5
    -4+ E -3 = -5
    E = -5 + 3 + 4
    E = 2

    FINAL ANS: X^2+Y^2+2X+2Y-3=0

    2.) C (6,3) and passing (10,6)

    D = square root of (x2-x1)^2 + (y2-y1)^2
    = square root of (10-6)^2 + (6-3)^2
    = square root of (4)^2 + (3)^2
    = square root of 16 + 9
    = square root of 25
    D = 5

    (x-h)^2 + (y-k)^2 = 5^2
    (x-6)^2 + (y-3)^2 = 25
    x^2-12x+36+y^2-6y+9-25 = 0

    FINAL ANSWER: x^2+y^2-12x-6y+20 = 0

    ReplyDelete
  29. Unknown11 October 2012 at 06:01

    1 . Find the eq of the circle passing through the points (1,0) (0,1) (-2,1)
    x^2+y^2+Dx+Ey+F=0

    D = 2
    E = 2
    F = -3


    2. C(6,3) and passing (10,6)

    d=√(x2-x1)^2 + (y2-y1)^2
    = √(10-6)^2 + (6-3)^2
    =√16 + 9
    =√25
    d=5


    (6,3)
    (x-h)^2 +(y-k)^2 = 5^2
    (x-6)^2 + (y-3)^2 = 25
    x^2-12x+36+y^2-6y+9-25=0
    x^2+y^2-12x-9y+45-25 =0

    ANSWER: x^2+y^2+12x+9y+20=0

    ReplyDelete
  30. Unknown11 October 2012 at 06:31

    Homework for October 11, 2012.
    1. Find an eq. of a circle passing through the pts. (1,0) (0,1) (-2,1)

    (1,0)
    x^2 + y^2 + Dx + Ey + F = 0
    (1)^2 + (0)^2 + D(1) + E(0) + F = 0
    1 + 0 + 1D + 0 + F = 0
    [1D + F = -1] eq. 1

    (0,1)
    0 + 1 + D(0) + E(1) + F = 0
    [1E + F = -1] eq. 2

    (-2,1)
    (-2)^2 + (1)^2 + D(-2) + E(1) + F = 0
    4 + 1 - 2D + 1E + F = 0
    [-2D + 1E + F = -5] eq. 3

    eq.1 & eq.2
    1D + F = -1
    (1E + F = -1)-1
    1D + F = -1
    -1E - 1F = 1
    [1D - 1E = 0] eq.4

    eq.2 & eq.3
    1E + F = -1
    (-2D + 1E + F = -5)-1
    1E + F = -1
    2D - 1E - F = 5
    [2D = 4] eq.5

    eq.4 & eq.5
    (1D - 1E = 0)-2
    2D = 4
    -2D + 2E = 0
    2E = 4
    [E = 2]

    eq.4
    1D - 1E = 0
    1D - 1(2) = 0
    [D = 2]

    eq.1
    1D + F = -1
    1(2) + F = -1
    [F = -3]

    [Therefore, x^2 + y^2 + 2x + 2y - 3 = 0]




    2. c(6,3) & passing (10,6)
    d = √(x2 - x1)^2 + (y2 - y1)^2
    r = √(10-6)^2 + (6-3)^2
    = √16+9
    = √25
    [r = 5]

    (x-h)^2 + (y-k)^2 = 5
    (x-6)^2 + (y-3)^2 = (5)^2
    x^2 - 12x + 36 + y^2 -6y + 9 = 25
    [x^2 + y^2 - 12x - 6y + 20 = 0]

    ReplyDelete
  31. Unknown11 October 2012 at 06:57

    HOMEWORK AS OF OCTOBER 11 2012

    1.) (1 , 0) (0 , 1) (-2 , 1)
    1^2 + 0^2 + D + 0E + F = 0
    1 + D + F = 0
    D + F = -1 eq.1

    0^2 + 1 + 0D + E + F = 0
    E + F = -1 eq.2

    (-2)^2 + 1^2 + (-2)D+ E + F = 0
    4 + 1 – 2D + E + F = 0
    -2D + E + F = -5 eq.3

    -2D + E + F = -5
    2 (D + F = -1) 2

    -2D + E + F = -5
    2D + 2F = -1

    E + 3F = -7
    -1 (E + F = -1) -1

    E + 3F = -7
    -E – F = 1

    2F = -6 / 2
    F = -3

    -2D + E + F = -5
    -1 (E + F = -1) -1
    -2D + E + F = -5
    -E – F =1

    -2D = -4 / -2
    D = 2

    E + 3F = -7
    -3 (E + F = -1) -3
    E + 3F = -1
    -3E – 3F = -1
    -3E – 3F = 3

    -2E = -4 / -2
    E = 2

    --> X^2 + y^2 + 2x + 2y – 3 = 0

    2.) C (6 , 3) passing through (10 , 6)
    D = square-root of (10 - 6)^2 + (6 - 3)^2
    = square-root of 4^2 + 3^2
    = square-root of 16 + 9
    r = 5

    (x - h)^2 + (y - k) = r^2
    (x - 6)^2 + (y - 3) = 5^2
    X^2 + y^2 – 12x – 6y + 36 + 9 = 25

    --> X^2 + y^2 – 12x – 6y + 20 = 0

    ReplyDelete
  32. Unknown11 October 2012 at 07:09

    Math Homework
    10/11/12
    1.)(1,0) (0,1) (-2,1)
    2.) C(6,3) and passing (10,6)
    d= √(10-6)^2+(6-3)^2
    = √25
    (x-6)^2+(y-3)^2=25
    x^2+12x+36+y^2-6y+9=25
    = x^2+y^2-12x-9y-20=0

    ReplyDelete
  33. Unknown11 October 2012 at 07:17

    Find an equation of circle the points (1,0),(0,1),(-2,1)
    (1,0)
    D+F=-1 -EQUATION 1
    (0,1)
    E+F=-1 -EQUATION 2
    (-2,1)
    -2D+E+F=-5 -EQUATION 3
    E.Q 2&3
    -1(E+F=-1)
    -2D+E+F=-5
    -2D=-4 THEN D=2
    SUBSTITUTE
    F=1+D THEN F=3
    E=1+F THEN E=4

    ANSWER=X^2+Y^2+2X+2Y-3=0

    2)C(6,3) AND PASSING(0,6)
    D=√(X2-X1)^2+(Y2-Y1)^2
    D=√(0-6)^2+(6-3)^2
    D=√45

    THEN (X-6)^2+(6-3)^2=√45
    X^2-12X+36+Y^2-6X+9=45

    ANSWER:X^2-12X+Y^2-6Y=0




    ReplyDelete

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