Bicentric Quadrilateral NEW

Expression 39: "x" Subscript, 1 , Baseline equals "x" Subscript, 0 , Baseline plus left parenthesis, "x" Subscript, 3 , Baseline minus "x" Subscript, 0 , Baseline , right parenthesis "t" Subscript, 1 , Baseline

equals

0.7 6 6 9 8 6 1 1 3 9 7 5

Expression 40: "y" Subscript, 1 , Baseline equals "y" Subscript, 0 , Baseline plus left parenthesis, "y" Subscript, 3 , Baseline minus "y" Subscript, 0 , Baseline , right parenthesis "t" Subscript, 1 , Baseline

equals

negative 3.6 2 6 6 6 3 8 4 4 7 6

( x₂ , y₂ ) ( x₃ , y₃ ) ( x₄ ; y₄ )

Expression 42: "A" Subscript, 1 , Baseline equals "x" Subscript, 0 , Baseline

equals

2.8 3 2

Expression 43: "A" Subscript, 2 , Baseline equals "y" Subscript, 0 , Baseline

equals

Expression 44: "a" Subscript, 1 , Baseline equals "y" Subscript, 0 , Baseline minus "y" Subscript, 3 , Baseline

equals

negative 2.4 8 1 1 7 2 4 7 5 8 6

Expression 45: "a" Subscript, 2 , Baseline equals "x" Subscript, 3 , Baseline minus "x" Subscript, 0 , Baseline

equals

1.4 1 2 7 7 3 7 8 7 5 9

Expression 46: "A" equals "a" squared plus "a" squared

equals

8.1 5 2 1 4 6 6 2 9 8 6

Expression 47: "B" equals 2 left parenthesis, "A" Subscript, 1 , Baseline "a" Subscript, 1 , Baseline plus "A" Subscript, 2 , Baseline "a" Subscript, 2 , Baseline minus "h" "a" Subscript, 1 , Baseline minus "v" "a" Subscript, 2 , Baseline , right parenthesis

equals

negative 6.6 0 9 8 4 3 4 7 5 6 9

Expression 48: "C" equals "A" squared plus "A" squared minus 2 "A" Subscript, 2 , Baseline "v" minus 2 "A" Subscript, 1 , Baseline "h" plus "h" squared plus "v" squared minus "r" squared

equals

negative 11.9 1 5 7 7 6

Expression 49: "t" Subscript, 3 , Baseline equals StartFraction, negative "B" minus StartRoot, "B" squared minus 4 "A" "C" , EndRoot Over 2 "A" , EndFraction

equals

negative 0.8 6 9 7 5 2 4 3 0 2 9 7

Expression 50: "t" Subscript, 4 , Baseline equals StartFraction, negative "B" plus StartRoot, "B" squared minus 4 "A" "C" , EndRoot Over 2 "A" , EndFraction

equals

1.6 8 0 5 6 2 6 1 0 2 2

Expression 51: "x" Subscript, 2 , Baseline equals "x" Subscript, 0 , Baseline minus left parenthesis, "y" Subscript, 3 , Baseline minus "y" Subscript, 0 , Baseline , right parenthesis "t" Subscript, 3 , Baseline

equals

4.9 9 0 0 0 5 7 9 0 8 7

Expression 52: "y" Subscript, 2 , Baseline equals "y" Subscript, 0 , Baseline plus left parenthesis, "x" Subscript, 3 , Baseline minus "x" Subscript, 0 , Baseline , right parenthesis "t" Subscript, 3 , Baseline

equals

negative 1.2 2 8 7 6 3 4 3 5 2 2

Expression 53: "x" Subscript, 3 , Baseline equals "h" plus left parenthesis, "r" cos phi , right parenthesis

equals

4.2 4 4 7 7 3 7 8 7 5 9

Expression 54: "y" Subscript, 3 , Baseline equals "v" plus left parenthesis, "r" sin phi , right parenthesis

equals

2.4 8 1 1 7 2 4 7 5 8 6

Expression 55: "x" Subscript, 4 , Baseline equals "x" Subscript, 0 , Baseline minus left parenthesis, "y" Subscript, 3 , Baseline minus "y" Subscript, 0 , Baseline , right parenthesis "t" Subscript, 4 , Baseline

equals

negative 1.3 3 7 7 6 5 6 9 2 4 3

Expression 56: "y" Subscript, 4 , Baseline equals "y" Subscript, 0 , Baseline plus left parenthesis, "x" Subscript, 3 , Baseline minus "x" Subscript, 0 , Baseline , right parenthesis "t" Subscript, 4 , Baseline

equals

2.3 7 4 2 5 4 8 0 4 1 2

Vertices ( Coordinates )

Expression 58: "T" left parenthesis, "x" Subscript, 01 , Baseline , "y" Subscript, 01 , Baseline , "x" Subscript, 02 , Baseline , "y" Subscript, 02 , Baseline , right parenthesis equals StartFraction, "v" "y" Subscript, 02 , Baseline plus "x" squared minus "h" "x" Subscript, 01 , Baseline plus "y" squared minus "v" "y" Subscript, 01 , Baseline minus "x" Subscript, 02 , Baseline "x" Subscript, 01 , Baseline plus "h" "x" Subscript, 02 , Baseline minus "y" Subscript, 01 , Baseline "y" Subscript, 02 , Baseline Over "v" "h" minus "x" Subscript, 01 , Baseline "y" Subscript, 02 , Baseline plus "x" Subscript, 01 , Baseline "v" plus "h" "y" Subscript, 02 , Baseline minus "h" "v" plus "y" Subscript, 01 , Baseline "x" Subscript, 02 , Baseline minus "y" Subscript, 01 , Baseline "h" minus "v" "x" Subscript, 02 , Baseline , EndFraction

Expression 59: "t" Subscript, 5 , Baseline equals "T" left parenthesis, "x" Subscript, 1 , Baseline , "y" Subscript, 1 , Baseline , "x" Subscript, 2 , Baseline , "y" Subscript, 2 , Baseline , right parenthesis

equals

negative 0.8 6 9 7 5 2 4 3 0 2 9 7

Expression 60: "t" Subscript, 6 , Baseline equals "T" left parenthesis, "x" Subscript, 2 , Baseline , "y" Subscript, 2 , Baseline , "x" Subscript, 3 , Baseline , "y" Subscript, 3 , Baseline , right parenthesis

equals

negative 0.5 9 5 0 3 8 8 2 4 4 5 1

Expression 61: "t" Subscript, 7 , Baseline equals "T" left parenthesis, "x" Subscript, 3 , Baseline , "y" Subscript, 3 , Baseline , "x" Subscript, 4 , Baseline , "y" Subscript, 4 , Baseline , right parenthesis

equals

negative 1.1 4 9 7 5 2 4 6 4 2 3

Expression 62: "t" Subscript, 8 , Baseline equals "T" left parenthesis, "x" Subscript, 4 , Baseline , "y" Subscript, 4 , Baseline , "x" Subscript, 1 , Baseline , "y" Subscript, 1 , Baseline , right parenthesis

equals

negative 1.6 8 0 5 6 2 6 1 0 2 2

Expression 63: "t" Subscript, 9 , Baseline equals StartFraction, "v" "X" Subscript, 5 , Baseline minus "y" Subscript, 1 , Baseline "X" Subscript, 5 , Baseline plus "x" Subscript, 1 , Baseline "Y" Subscript, 5 , Baseline minus "h" "Y" Subscript, 5 , Baseline minus "v" "X" Subscript, 6 , Baseline plus "y" Subscript, 1 , Baseline "X" Subscript, 6 , Baseline minus "x" Subscript, 1 , Baseline "Y" Subscript, 6 , Baseline plus "h" "Y" Subscript, 6 , Baseline Over "v" "h" minus "v" "x" Subscript, 2 , Baseline plus "y" Subscript, 1 , Baseline "x" Subscript, 2 , Baseline minus "y" Subscript, 1 , Baseline "h" minus "x" Subscript, 1 , Baseline "y" Subscript, 2 , Baseline plus "x" Subscript, 1 , Baseline "v" plus "h" "y" Subscript, 2 , Baseline minus "h" "v" , EndFraction

equals

1.3 9 0 1 2 8 8 2 6 9 8

Expression 64: "X" Subscript, 1 , Baseline equals "x" Subscript, 2 , Baseline minus left parenthesis, "y" Subscript, 2 , Baseline minus "v" , right parenthesis "t" Subscript, 5 , Baseline

equals

3.9 2 1 2 8 5 8 0 6 8 3

Expression 65: "Y" Subscript, 1 , Baseline equals "y" Subscript, 2 , Baseline plus left parenthesis, "x" Subscript, 2 , Baseline minus "h" , right parenthesis "t" Subscript, 5 , Baseline

equals

negative 4.2 6 4 2 0 4 4 5 3 5 7

Expression 66: "X" Subscript, 2 , Baseline equals "x" Subscript, 3 , Baseline minus left parenthesis, "y" Subscript, 3 , Baseline minus "v" , right parenthesis "t" Subscript, 6 , Baseline

equals

5.7 2 1 1 6 7 7 4 0 8 9

Expression 67: "Y" Subscript, 2 , Baseline equals "y" Subscript, 3 , Baseline plus left parenthesis, "x" Subscript, 3 , Baseline minus "h" , right parenthesis "t" Subscript, 6 , Baseline

equals

0.8 4 7 9 2 5 5 0 7 9 0 9

Expression 68: "X" Subscript, 3 , Baseline equals "x" Subscript, 4 , Baseline minus left parenthesis, "y" Subscript, 4 , Baseline minus "v" , right parenthesis "t" Subscript, 7 , Baseline

equals

1.3 9 2 0 3 9 6 1 9 3

Expression 69: "Y" Subscript, 3 , Baseline equals "y" Subscript, 4 , Baseline plus left parenthesis, "x" Subscript, 4 , Baseline minus "h" , right parenthesis "t" Subscript, 7 , Baseline

equals

5.6 3 6 9 8 2 9 0 1 8 8

Expression 70: "X" Subscript, 4 , Baseline equals "x" Subscript, 1 , Baseline minus left parenthesis, "y" Subscript, 1 , Baseline minus "v" , right parenthesis "t" Subscript, 8 , Baseline

equals

negative 5.3 2 7 8 4 9 5 4 3 3 5

Expression 71: "Y" Subscript, 4 , Baseline equals "y" Subscript, 1 , Baseline plus left parenthesis, "x" Subscript, 1 , Baseline minus "h" , right parenthesis "t" Subscript, 8 , Baseline

equals

negative 2.3 9 4 7 8 8 1 1 5 1 4

Expression 72: "X" Subscript, 5 , Baseline equals StartFraction, "X" Subscript, 4 , Baseline plus "X" Subscript, 1 , Baseline Over 2 , EndFraction

equals

negative 0.7 0 3 2 8 1 8 6 8 2 6 4

Expression 73: "Y" Subscript, 5 , Baseline equals StartFraction, "Y" Subscript, 4 , Baseline plus "Y" Subscript, 1 , Baseline Over 2 , EndFraction

equals

negative 3.3 2 9 4 9 6 2 8 4 3 6

Expression 74: "X" Subscript, 6 , Baseline equals StartFraction, "X" Subscript, 1 , Baseline plus "X" Subscript, 2 , Baseline Over 2 , EndFraction

equals

4.8 2 1 2 2 6 7 7 3 8 6

Expression 75: "Y" Subscript, 6 , Baseline equals StartFraction, "Y" Subscript, 1 , Baseline plus "Y" Subscript, 2 , Baseline Over 2 , EndFraction

equals

negative 1.7 0 8 1 3 9 4 7 2 8 3

Expression 76: "X" Subscript, 7 , Baseline equals "X" Subscript, 6 , Baseline minus left parenthesis, "x" Subscript, 2 , Baseline minus "h" , right parenthesis "t" Subscript, 9 , Baseline

equals

negative 0.0 3 0 3 3 0 8 8 2 3 5 2 9

Expression 77: "Y" Subscript, 7 , Baseline equals "Y" Subscript, 6 , Baseline minus left parenthesis, "y" Subscript, 2 , Baseline minus "v" , right parenthesis "t" Subscript, 9 , Baseline

equals

2.2 2 0 4 4 6 0 4 9 3 times 10 to the negative 16th power

Points

100