Question

Correct answers only!! Circle P is described by the equation (×+4)^2 + (y+7)^2 = 16 and circle Q is described by the equation (x+2)^2 + (y-3)^2 =25. Select from the drop-down menus to correctly complete the statements. Circle Q is ( 2, 4, 6, or 10) units to the (left or right) of circle P and (2, 4, 6, 10) units (above or below) it. Circle Q has (a shorter radius, the same radius as, or a longer radius then) circle P.

Answer 1

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.

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.