What is the equation of a circle with a center at (-4,0)
t passes through the point (-2, 1)?
x2 + (y + 4)2 = square root 5
(x - 1)2 + (y + 2)2 = 5
(x + 4)2 + y2 = 5
(x + 2)2 + (y – 1)2 = square root 5

Step-by-step explanation:

Circle equation:

We need to find h, k , to complete the equation.

(h,k) is center point, in this case is given (-4,0) = (h,k)

h=-4

k=0

Substitute to equation:

Use the initial condition: circle passes through the point (-2,1) = (x,y)

x=-2

y=1

Substitute to equation:

Solve for = 5

Final

answer: the proof is mentioned below.

step-by-step explanation:

since, given:   lines bc = ef

prove:   lines ac > ef

          statements                                           reason

1. bc=ef                                           1. given

2. ac= ab+bc                                 2. because b is the point between the  

                                                            line segment ac

3.   ac > bc                                       3. because if a line segment is equal to

                                                          the sum of two line segments then it is

                                                          always greater then each of these

                                                          individual line segments

4. ac > ef                                         4. by equality property.

the answer is b.6

step-by-step explanation: