Mathematics B Exam Worksheet - Regents High School Examination, The University Of The State Of New York, 2005 Page 6

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17 The accompanying diagram shows the construction of a model of an
Use this space for
elliptical orbit of a planet traveling around a star. Point P and the
computations.
center of the star represent the foci of the orbit.
y
9
P
Star
String
x
–15
15
–9
Which equation could represent the relation shown?
2
y
2
y
2
2
x
x
=
=
+
(1)
+
(3)
1
1
9
225
15
81
2
y
2
2
y
2
x
x
=
=
(2)
(4)
1
+
1
15
9
225
81
16
i
18 The expression
is equivalent to
3
i
(1) 1
(3) i
(2) –1
(4) –i
19 If log
x = 2, what is a value of
?
x
5
2
(1)
2
5
(3) 5
(2)
(4) 25
5
20 If the coordinates of point A are (–2,3), what is the image of A under
r
° D
?
y–axis
3
(1) (–6,–9)
(3) (5,6)
(2) (9,–6)
(4) (6,9)
[6]
Math. B – Jan. ’05

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