Conic Inequalities Answers
3 verified answers
1
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Which graph represents ?
A
On a coordinate plane, an ellipse has center (2, 0) and goes through (2, 3), (4.25, 0), (2, negative 3), and (negative 0.25, 0). Everything outside of the ellipse is shaded.
B
On a coordinate plane, an ellipse has center (0, 2) and goes through (2.25, 2), (0, negative 1), (negative 2.25, 2), and (0, 5). Everything outside of the ellipse is shaded.
C
On a coordinate plane, an ellipse has center (2, 0) and goes through (2, 3), (4.25, 0), (2, negative 3), and (negative 0.25, 0). Everything inside of the ellipse is shaded.
D
On a coordinate plane, an ellipse has center (0, 2) and goes through (2.25, 2), (0, negative 1), (negative 2.25, 2), and (0, 5). Everything inside of the ellipse is shaded.
2
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Given 7x2 + 3y2 – 42x + 6y – 39 < 0, which graph represents the inequality?
A
On a coordinate plane, one part of a conic graph goes through (negative 8, 6), has a vertex at (negative 7, 2), and goes through (negative 8, negative 4). The other part goes through (2, 6), has a vertex at (0, 1), and goes through (1, negative 2). Everything outside of the conic graph is shaded.
B
On a coordinate plane, an ellipse has center (3, negative 1) and goes through (3, 5), (6.75, 0), (3, negative 7), and (negative 0.75, 0). Everything inside of the ellipse is shaded.
C
On a coordinate plane, one part of a conic graph goes through (negative 8, 6), has a vertex at (negative 7, 2), and goes through (negative 8, negative 4). The other part goes through (2, 6), has a vertex at (0, 1), and goes through (1, negative 2). Everything inside of the conic graph is shaded.
D
Option
3
Which graph represents (x + 5)2 + (y – 2)2 ≥ 9?
A
On a coordinate plane, a circle has center (negative 3, 2) and radius 3. Everything outside of the circle is shaded.
B
On a coordinate plane, a circle has center (5, negative 2) and radius 3. Everything inside of the circle is shaded.
C
On a coordinate plane, a circle has center (5, negative 2) and radius 3. Everything outside of the circle is shaded.
D
On a coordinate plane, a circle has center (negative 3, 2) and radius 3. Everything inside of the circle is shaded.
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