University:
Missouri State University
Course:
MTH 103 | Intermediate Algebra
Academic year:

2019
Views:

364

Pages:

2
Author:

Shyla Hinton

Algebra Name Writing Equations of Circles Date Period Ce se the information provided to write the standard form equation of each circle. 1) 8x + x ^ 2 - 2y = 64 - y ^ 2 (x + 4) ^ 2 + (y - 1) ^ 2 =81[ 2) 137 + 6y = - y ^ 2 - x ^ 2 - 24x (x + 12) ^ 2 + (y + 3) ^ 2 = 16 3) x ^ 2 + y ^ 2 + 14x - 12y + 4 = 0 (x + 7) ^ 2 + (y - 6) ^ 2 = 81 4) y ^ 2 + 2x + x ^ 2 = 24y - 120 x+1)^ 2 + (y - 12) ^ 2 = 25 5) x ^ 2 + 2x + y ^ 2 = 55 + 10y (x + 1) ^ 2 + (y - 5) ^ 2 = 81 6) 8x + 32y + y ^ 2 = - 263 - x ^ 2 (x + 4) ^ 2 + (y + 16) ^ 2 = 9 7) Center. (-11,-8) Radius: 4 (x + 11) ^ 2 + (y + 8) ^ 2 = 16 8) Center: (- 6, - 15) Radius: (x + 6) ^ 2 + (y + 15) ^ 2 = 5 9) (x - 16) ^ 2 + (y - 6) ^ 2 = 1 Translated 4 left, 2 up (x - 12) ^ 2 + (y - 8) ^ 2 = 1 10) (x + 5) ^ 2 + (y + 7) ^ 2 = 36 Translated 5 left, 4 down (x + 10) ^ 9 + (y + 11) ^ 2 = 36 11) 12) Ay x ^ 2 + (y - 3) ^ 2 = 9 (x - 4) ^ 2 + (y + 3) ^ 2 = 1 13) Ends of a diameter: (-17, -9) and (-19, -9) [(x + 18) ^ 2 + (y + 9) ^ 2 = 1] 15) Center, (- 15, 3sqrt(7)) Area: 2pi (x + 15) ^ 2 + (y - 3sqrt(7)) ^ 2 = 2 17) Center: (-5, 12) Circumference: 8π (x + 3) ^ 2 + (y - 12) ^ 2 = 16 ] 19) Center: (2,-5) Point on Circle: (-7, -1) (x - 2) ^ 2 + (y + 5) ^ 2 = 97 21) Center: (-15,9) Tangent to x = - 17 (x + 15) ^ 3 + (y - 9) ^ 5 = 4 23) Center lies on the x-axis Tangent to x = 7 and x = - 13 (x + 3) ^ 2 + y ^ 2 = 100 25) Three points on the circle: (-18,-5), (-7, -16), and (4.-5) (x + 7) ^ 2 + (y + 5) ^ 2 = 121 27) x ^ 2 + y ^ 2 + 14x + 12y + 76 = 0 (x + 5) ^ 2 + (y + 10) ^ 2 = 9 29) x ^ 2 + y ^ 2 + 14x - 8y + 29 = 0 (x + 4) ^ 2 + y ^ 2 = 36 14) Ends of a diameter: (-3, 11) and (3, -13) x ^ 2 + (y + 1) ^ 2 = 153 16) Center: (-11,-14) Area: 16π (x + 11) ^ 2 + (y + 14) ^ 2 = 16 18) Center: (15, 14) Circumference: 2pi * sqrt(15) (x - 15) ^ 2 + (y - 14) ^ 2 = 1.5 20) Center: (14, 17) Point on Circle: (15,17) (x - 14) ^ 2 + (y - 17) ^ 2 = 1 22) Center: (-2, 12) Tangent to x = - xi (x + 2) ^ 2 + (y - 12) ^ 2 = 9 24) Center lies in the fourth quadrant Tangent to x = 7 y = - 4 and x = 17 (x - 12) ^ 2 + (y + 9) ^ 2 = 25 26) Three points on the circle: (-7.6), (9, 6), and (-4.13) (x - 1) ^ 2 + (y - 47/7) ^ 2 = 3161/49 ) 28) x ^ 2 + y ^ 2 - 10x + 20y + 61 = 0 (x - 4) ^ 2 + (y + 12) ^ 2 = 64 30) 4y + y ^ 2 = - 28x - x ^ 2 - 191 Translated 4 right (x + 10) ^ 2 + (y + 2) ^ 2 = 9