Answer:
circle general equation :
(x-h)² + (y-k)² = r²
1. (x-h)² + (y-k)² = r²
(x+10)² + (y+5)²= 64
2. (x-h)² + (y-k)² = r²
(x+15)² + (y-3)²= 80
center and radius
1. x² + y² + 8x + 16y + 40 = 0
x² + 8x + y² + 16y = −40
(x² + 8x + 16) + (y² + 16y + 64) = −40 + 16 + 64
(x² + 8x + 16) + (y² + 16y + 64) = 40
(x+4)² + (y+8)² = 40
center : (-4, -8)
radius : 6 1/3
2. 4x² + 4y² + 40x + 60y + 92 = 0
(4x² + 4y² + 40x + 60y + 92 = 0)/4
(all over 4 or devided by 4)
x² + y² + 10x + 15y + 23 = 0
(x²+10x + 25)+(y²+15y + 4/225) = −23 + 25 + 4/225
(x²+10x+25)+(y²+15y+ 4/225) = 233/4
(x+5)²+(y+15/2)² = 233/4
center : (-5, -15/2)
radius : √233/4
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Answers & Comments
Answer:
circle general equation :
(x-h)² + (y-k)² = r²
1. (x-h)² + (y-k)² = r²
(x+10)² + (y+5)²= 64
2. (x-h)² + (y-k)² = r²
(x+15)² + (y-3)²= 80
center and radius
1. x² + y² + 8x + 16y + 40 = 0
x² + 8x + y² + 16y = −40
(x² + 8x + 16) + (y² + 16y + 64) = −40 + 16 + 64
(x² + 8x + 16) + (y² + 16y + 64) = 40
(x+4)² + (y+8)² = 40
center : (-4, -8)
radius : 6 1/3
2. 4x² + 4y² + 40x + 60y + 92 = 0
(4x² + 4y² + 40x + 60y + 92 = 0)/4
(all over 4 or devided by 4)
x² + y² + 10x + 15y + 23 = 0
(x²+10x + 25)+(y²+15y + 4/225) = −23 + 25 + 4/225
(x²+10x+25)+(y²+15y+ 4/225) = 233/4
(x+5)²+(y+15/2)² = 233/4
center : (-5, -15/2)
radius : √233/4