Question

Which system of inequalities is shown in the graph?

36 > (x + 3)2 + (y – 2)2 and 16 > (x – 4)2 + y2
36 > (x – 2)2 + (y + 3)2 and 16 > (x – 4)2 + y2
36 < (x + 3)2 + (y – 2)2 and 16 > (x – 4)2 + y2
36 < (x – 2)2 + (y + 3)2 and 16 > (x – 4)2 + y2

Answer 1

D.) 36 < (x – 2)2 + (y + 3)2 and 16 > (x – 4)2 + y2

Explanation:

Edge 2022

Answer 2

(x-2)^2 +(y+3)^2 >36 and (x-4)^2 +(y)^2 < 16

Explanation:

The equation of a circle is (x-h)^2+(y-k)^2 = r^2

We are outside the yellow circle The yellow circle has a radius of 6 and a center at (2, -3)

(x-2)^2 +(y--3)^2 > 6^2

(x-2)^2 +(y+3)^2 > 36

We are also inside the blue circle which has a radius of 4 and a center of (4,0)

(x-4)^2 +(y-0)^2 < 4^2

(x-4)^2 +(y)^2 < 16