Exercise: General Principles

Questions for: General Principles

Solve the following equation for the two roots of x:   — x2 + 5x = — 6
A:
x = 2,   3
B:
x = –1,   –5
C:
x = –1,   6
D:
x = –0.742,   6.74
Answer: C
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Determine the length of side AB if right angle ABC is similar to right angle A'B'C':
A:
AB = 5.42
B:
AB = 3
C:
AB = 5
D:
AB = 4
Answer: C
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Determine the angles and and the length of side AB of the triangle. Note that there are two possible answers to this question and we have provided only one of them as an answer.
A:
= 46.7°,  = 93.3° d = 9.22
B:
= 50.0°,  = 90.0° d = 9.14
C:
= 40.0°,  = 100.0° d = 9.22
D:
= 48.6°,  = 91.4°, d = 9.33
Answer: D
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Solve the following equation for x, y, and z:

xy + z = –1   –x + y + z = –1   x + 2y – 2z = 5

A:
x = 1,      y = 1,      z = –1
B:
x = 5/3,      y = 7/6,      z = –1/2
C:
x = –2/3,      y = –2/3,      z = –1
D:
x = –1,      y = 1,      z = 1
Answer: A
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Determine the angle :
A:
= 30°
B:
= 40°
C:
= 60°
D:
= 50°
Answer: D
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