Write an equation of the circle whose radius is 3 and whose center is (-1,6). a.(x - 1)2 + (y + 6)2 = 3 b.(x - 1)2 + (y + 6)2 = 9 c.(x + 1)2 + (y - 6)2 = 3 d.(x + 1)2 + (y - 6)2 = 9 submit

we are given

center=(-1,6)

radius=3

now, we can use standard equation of circle

where

center=(h,k)

radius =r

so, we get

center=(h,k)=(-1,6)

radius =r=3

now, we can plug these values

and we get

so, option-D............Answer

first option

a function is a relation in which an input is paired with exactly one output.

so, let's find the right answer.

in our first option, our inputs are january, february, and march. the outputs are 30, 28, and 25. each input has it's own output. this is correct!

our second option we know is incorrect, because ms. valverade has two outputs, dogs and cats. this is not a function.

our third option is incorrect as well. the yellow square has two ouputs, the square and the triangle.

lastly, in our fourth option, we see the number 7 two times with a different output. therefore, this is not a function.

remember: each input must be paired with only one output!

18

step-by-step explanation:

draw the shape and you will see that f and k are actually at adjacent vertices (points of the hexagon that are neighboring).   so find the distance between (1,2) and (4,2).   that is easy since (1,2) and (4,2) is just a vertical distance to count, which is 3.   it is a regular polygon which means all sides are congruent.   you have 6 sides (hexa) so multiply 6 by 3 to receive 18.