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Directions:
These are the Part II, III, and IV long response questions. Have paper
ready to work out the problems, then check your answers by clicking the ANSWER
button. You may use your graphing calculator.
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Part II:
| 28
Find
the roots of x2 + 7 = 2x
and express the roots in a + bi form. |
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29
for all values of x for which the
expression is defined and express your answer in
simplest form. |
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30
Write the equation of a circle with a center at
(-3, -6) and which passes through the point (-4, 8).
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31
The arc of a
circle is 6 cm. in length and intercepts a central angle
of 1.5 radians. Find the number of centimeters in
the radius of the circle.
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32
The
number of houses in Pleasantville grows every year
according to the function
where H represents the number of houses, and t
represents the number of years since the start of 1995.
A developer wants to know when the number of houses
exceeds 1,000. During which year will this first
happen?
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33 If the
probability that it will rain on any given day this week
is 60%, find the probability it will rain exactly 3 out
of 7 days this week. |
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34 Simplify
the expression (1 - cos2 x)(csc
x) to a single trigonometric function.
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35 Solve for
x:
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Part III:
| 36 A
real estate agent plans to compare the price of a
cottage, y, in a town on the seashore to the
number of blocks, x, the cottage is from the
beach. The chart below shows a random sample of
sales and location data.
Write a linear
equation that relates the price of the cottage to the
distance form the beach.
Use the
equation to predict the price of a cottage, to the
nearest dollar, located 3 blocks from the beach.
Number of Block
from Beach (x) |
Price of
Cottage (y) |
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5 |
$132,000 |
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0 |
$310,000 |
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4 |
$204,000 |
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2 |
$238,000 |
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1 |
$275,000 |
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7 |
$60,800 |
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| 37 The
measure of the angles between the resultant and two
applied forces are 65º and 42º, and the magnitude of the
resultant is 24 pounds. Find, to the nearest
pound, the magnitude of the larger force.
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38 Solve
the equation x3 −
5x2 −
4x + 20 = 0 algebraically for all values
of x. |
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Part IV:
39
A
vertical flagpole 46 feet high is placed on top of a
building. From a point on the ground level with
the base of the building, the angle of elevation of the
top of the flagpole and the angle of elevation of the
bottom of the flagpole are 40º and 32º respectively.
Sketch a diagram to represent the building, the
flagpole, and the two angles, and find the height of the
building to the nearest foot.
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