Algebra/algebra

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Question
Write its equation in standard form
9.Parabola: -x^2+10x+y-21=0
10.Parabola: -2y^2+x-20y-49=0
11.Parabola: x2+2x+y-1=0
12.Circle: x^2+y^2+6x-2y+9=0
13.Circle: 4x^2+y^2-48+140=0
14.Hyperbola: -x^2+4y^2-2x-24y+19=0
15.hyperbola: -9x^2+y^2-72x-153=0
16.parabola: -y^2+x+8y-17=0


write the standard form of each hyperbola
39.-x^2+y^2-18x-14y-132=0
40.9x^2-4y^2-90x+32y-163=0
41.-16x^2+9y^2+32x+144y-16=0
42.-2x^2+3y^2+4x-60y+268=0

Answer
9. (x+5)^2 = y+4
10. (y+5)^2 = 0.5(x+1)
11. (x+1)^2 = -y+2
12. (x+3)^2 +(y-1)^2 = 1
13. not a circle
14. (y-3)^2/4 -(x+1)^2/16 = 1
15. y^2/9 -(x+4)^2 = 1
16. (y-4)^2 = x-1
39. (y-7)^2 -(x+9)^2 = 100
40. (x-5)^2/36 -(y-4)^2/81 = 1
41. (y+8)^2/64 -(x-1)^2/36 = 1
42. (y-10y)^2/10 -(x-1)^2/15 = 1

Algebra

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