The easiest way is to try the point (-4,1), that is, x=-4, y=1,
to see which equation works.
b works.
The usual way to do it is to find the equation of the circle
standard form of a circle is (x-h)²+(y-k)²=r², (h,k) are the coordinates of the center, r is the radius.
in this case, the center is (-2,1), so (x+2)²+(y-1)²=r²
the given point (-4,1) is for you to find r: (-4+2)²+(1-1)²=r², r=2
so the equation is (x+2)²+(y-1)²=2²
expand it: x²+4x+4+y²-2y+1=4
x²+y²+4x-2y+1=0, which is answer b.
ANSWER

EXPLANATION
The total number of students can be calculated by adding all the frequencies.
From the graph the total frequency is,

The number of students who intend to go into state or local government after graduation is 78.
The percentage of students who intend to go into state or local government after graduation


Answer:
a)
<u>The discount id 40%, so the function is:</u>
b)
- p = 100 ⇒ d = 40
- p = 200 ⇒ d = 80
- p = 300 ⇒ d = 120
- p = 400 ⇒ d = 160
- p = 500 ⇒ d = 200
<em>The graph is attached</em>
c)
- p = $85 ⇒ d = 0.4*$85 = $34
<u>Sale price is:</u>
- CP = p - d = $85 - $34 = $51
Answer is (d) P, Q , R
Any triangle has 3 vertices , after which its name is justified