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Mathematics, 15.04.2021 15:10 dianacastro8298

The equation 2x2+2y2βˆ’8xβˆ’12y+16=0 2 x 2 + 2 y 2 βˆ’ 8 x βˆ’ 12 y + 16 = 0 defines a circle. Which of these shows a correct step for determining the center and radius of this circle? Choose all that are correct. (2x2βˆ’8x+16)+(2y2βˆ’12y+36)=βˆ’16+36
(
2
x
2
βˆ’
8
x
+
16
)
+
(
2
y
2
βˆ’
12
y
+
36
)
=
βˆ’
16
+
36

(xβˆ’4)2+(yβˆ’9)2=5
(
x
βˆ’
4
)
2
+
(
y
βˆ’
9
)
2
=
5

(x2βˆ’4x+4)+(y2βˆ’6y+9)=βˆ’8+13
(
x
2
βˆ’
4
x
+
4
)
+
(
y
2
βˆ’
6
y
+
9
)
=
βˆ’
8
+
13

x2+y2βˆ’4xβˆ’6y=βˆ’16
x
2
+
y
2
βˆ’
4
x
βˆ’
6
y
=
βˆ’
16

(xβˆ’2)2+(yβˆ’3)2=5

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Answers: 3

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The equation 2x2+2y2βˆ’8xβˆ’12y+16=0 2 x 2 + 2 y 2 βˆ’ 8 x βˆ’ 12 y + 16 = 0 defines a circle. Which of thes...
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