Mathematics B - Regents High School Examination - The University Of The State Of New York - 2009 Page 5

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12 A graphic designer is drawing a pattern of four concentric circles on the
computations.
coordinate plane. The center of the circles is located at (−2,1). The
smallest circle has a radius of 1 unit. If the radius of each of the circles
is one unit greater than the largest circle within it, what would be the
equation of the fourth circle?
(1) (x − 2)
+ (y + 1)
= 4
2
2
(2) (x + 2)
+ (y − 1)
= 4
2
2
(3) (x − 2)
+ (y + 1)
= 16
2
2
(4) (x + 2)
+ (y − 1)
= 16
2
2
13 Carol notices that the number of customers who visit her coffee shop
varies inversely with the average daily temperature. Yesterday, the
average temperature was 40° and she had 160 customers. If today’s
average temperature is 25°, how many customers should she expect?
(1) 100
(3) 256
(2) 145
(4) 1,000
14 Given the relation A: {(3,2), (5,3), (6,2), (7,4)}
Which statement is true?
–1
(1) Both A and A
are functions.
–1
(2) Neither A nor A
is a function.
(3) Only A is a function.
–1
(4) Only A
is a function.
• sec
15 The expression cot
is equivalent to
θ
cos
(1)
(3) csc
2
θ
sin
θ
sin
(2)
(4) sin
2
θ
cos
[5]
[OVER]
Math. B – Jan. ’09

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