Which equation represents a circle that contains the point (-5, -3) and has a center at (-2, 1)?
distance formula: (x2 - x)2 + 02 - 2
(x - 1)2 + (y + 2)2 = 25
(x + 2)2 + (y - 1)2 = 5
(x + 2)2 + (y – 1)2 = 25
(x - 1)2 + (y + 2)2 = 5

the answer is b: 18

step-by-step explanation:

use the pythagorean theorem to .

a^2+b^2=c^2

plug 18 for "r"

the 2 legs are 18 and 24

18^2+24^2=c^2

324+576=c^2

900=c^2

c=30

30-12=18

18 is the radius

: )

a c

step-by-step explanation:

answer: first option i.e. 'a' is correct.

step-by-step explanation:

since we have given that

number of minutes to wrap a small gift box = 4 minutes

we need to find the number of gifts to be wrapped in 5 minutes

since there is a direct variation, as the number of minutes will increase with   number of gifts to be wrapped.

so, let the number of gifts to be wrapped in 5 minutes be x.

so, it becomes,

hence, first option 'a'   is correct.

180-142=38 for the acute angle next to the entry

90+38=128

180-128=52

a=52

step-by-step explanation: