Circle P is described by the equation (x−1)2+(y+6)2=9 and circle Q is described by the equation (x+4)2+(y+14)2=4. Select from the drop-down menus to correctly complete the statements.

Circle Q is
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units to the
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of circle P and
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units
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it. Circle Q has
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circle P.

Circle Q is 2 units to the right of circle P and 10 units above it. Circle Q has a longer radius than circle P.

Step-by-step explanation:

A circle with center (h, k) and radius r has equation ...

(x -h)^2 +(y -k)^2 = r^2

Your circles have the following center and radius:

circle P: center (-4, -7), radius 4

circle Q: center (-2, 3), radius 5

Then the appropriate comparison is ...

Circle Q is 2 units to the right of circle P and 10 units above it. Circle Q has a longer radius than circle P

4

step-by-step explanation: