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 to the circle p and . circle q has p. a) 2, 4, 6 or 10. b) left or right. c) 2,4,6,or 10. d) above or below. e) a shorter radies than, the same radius as, a longer radius than?

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:

1. Circle P:

2. Circle Q:

3. Using the general form of the canonic equations, you can tell inmediately the coordinates of the center and the radius of each circle:

Then, for the circle P you have:

And for the circle Q:

5. Then, to complete statements you have:

d, x=8

step-by-step explanation:

simplifying

4x + -5 = 2x + 11

reorder the terms:

-5 + 4x = 2x + 11

reorder the terms:

-5 + 4x = 11 + 2x

solving

-5 + 4x = 11 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-5 + 4x + -2x = 11 + 2x + -2x

combine like terms: 4x + -2x = 2x

-5 + 2x = 11 + 2x + -2x

combine like terms: 2x + -2x = 0

-5 + 2x = 11 + 0

-5 + 2x = 11

add '5' to each side of the equation.

-5 + 5 + 2x = 11 + 5

combine like terms: -5 + 5 = 0

0 + 2x = 11 + 5

2x = 11 + 5

combine like terms: 11 + 5 = 16

2x = 16

divide each side by '2'.