AnswersMA-PrecalculusCumulative Exam

Cumulative Exam — Cumulative exam Answers

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Let r = ⟨5, –1⟩, s = ⟨6, 0⟩, and t = ⟨–1, –3⟩. Aaron incorrectly determined 2r + 4s – 7t as ⟨41, –23⟩. Review his calculations.2r + 4s – 7t2⟨5, –1⟩ + 4⟨6, 0⟩ – 7⟨–1, –3⟩⟨10, –2⟩ + ⟨24, 0⟩ + ⟨7, –21⟩⟨41, –23⟩

A
He added ⟨10, –2⟩ + ⟨24, 0⟩ + ⟨7, –21⟩ incorrectly.
B
He should have subtracted ⟨7, –21⟩ rather than add.
C
He did not correctly distribute 4 to both components of s.
D
He did not correctly distribute the negative when subtracting 7t.
26

If and , what is X when ?

Question illustration
A
mc006-4.jpg
Option A
B
mc006-5.jpg
Option B
C
mc006-6.jpg
Option C
D
mc006-7.jpg
Option D
27

Given vectors u = ⟨–5, 1⟩ and v = ⟨8, 6⟩, which statement is true for u and v?

A
The vectors point in the same direction.
B
The vectors form an acute angle.
C
The vectors form an obtuse angle.
D
The vectors point in opposite directions.
28

What are the values of x and y in the matrix subtraction below?

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A
mc007-2.jpg
Option A
B
mc007-3.jpg
Option B
C
mc007-4.jpg
Option C
D
mc007-5.jpg
Option D
29

Review the diagram of a locket in the shape of an ellipse. The major and minor axes are labeled in the diagram.

Question illustration
A
StartFraction x squared Over 361 EndFraction + StartFraction y squared Over 169 EndFraction = 1
Option A
B
StartFraction y squared Over 361 EndFraction + StartFraction x squared Over 169 EndFraction = 1
Option B
C
StartFraction x squared Over 1,444 EndFraction + StartFraction y squared Over 676 EndFraction = 1
Option C
D
StartFraction y squared Over 1,444 EndFraction + StartFraction x squared Over 676 EndFraction = 1
Option D
30

Given u = and v = ⟨3, –4⟩, what is u · v?

Question illustration
A
Negative 4 StartRoot 3 EndRoot minus 3
Option A
B
Negative 4 StartRoot 3 EndRoot + 3
Option B
C
3 StartRoot 3 EndRoot minus 4
Option C
D
3 StartRoot 3 EndRoot + 4
Option D
32

What is the radius and center of a circle with the equation (x – 2)2 + (y – 3)2 = 36?

A
radius: 6 units; center: (2, 3)
B
radius: 36 units; center: (2, 3)
C
radius: 6 units; center: (–2, –3)
D
radius: 36 units; center: (–2, –3)
33

Question text not available

Question illustration
A
(1,−15)
B
(1,−2)
C
(1,3)
D
(1,11)
34

Which of the following matrices does not have an inverse?

A
mc009-1.jpg
Option A
B
mc009-2.jpg
Option B
C
mc009-3.jpg
Option C
D
mc009-4.jpg
Option D
38

Which measurements are correct? Select two options.

A
m = 60°
Option A
B
m = 120°
Option B
C
m = 180°
Option C
D
m∠XWZ = 60°
E
m∠YWZ = 120°
39

In quadrilateral PQRS, measures (7x - 2)o . Angle PSR measures (5x + 14 )o.

Question illustration
A
m = 54o and m = 54o
Option A
B
m = 84o and m = 96o
Option B
C
m = 90o and m = 90o
Option C
D
m = 96o and m = 84o
Option D
40

Question text not available

Question illustration
A
y = 3x + 10
B
y = –3x + 8
C
y = x + 2
Option C
D
y = x
Option D

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