AnswersOC27 ALG 2-1200330-S1-Degele-VOL7006PPerforming Operations with Complex Numbers

Performing Operations with Complex Numbers — Unit test Answers

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What are the vertices of the hyperbola whose equation is = 1?

Question illustration
A
(−13, 8) and (−1, 8)
B
(−12, 8) and (−2, 8)
C
(−7, 2) and (−7, 14)
D
(−7, 3) and (−7, 13)
22
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Convert –2y2 + x – 4y + 6 = 0 into standard form.

A
x = 2(y + 1)2 – 6
B
x = 2(y + 1)2 – 8
C
x = 2(y + 1)2 – 7
D
x = 2(y + 1)2 + 8
23

Question text not available

Question illustration
A
points G and H ✓ Correct
B
points J and K
C
points L and N
D
points M and N
24

The diameter of a circle has endpoints (–3, –10) and (4, –6). What is the equation of the circle?

A
(x + one-half) squared + (y minus 8) squared = StartFraction 65 Over 4 EndFraction
Option A
B
(x minus one-half) squared + (y + 8) squared = StartFraction 65 Over 4 EndFraction
Option B
C
(x + one-half) squared + (y minus 8) squared = 65
Option C
D
(x minus one-half) squared + (y + 8) squared = 65
Option D
25

Question text not available

Question illustration
A
The point (−3, 0) is a focus.
B
The point (3, 0) is a vertex.
C
The transverse axis passes through the point (0, 2).
D
The transverse axis has an endpoint at (5, 0).
26

Question text not available

Question illustration
A
x = −4.25 and x = 8.25
B
x = −3.25 and x = 9.25
C
y = −4.25 and y = 8.25
D
y = −3.25 and y = 9.25
27

The center of a hyperbola is located at the origin. One focus is located at (0, 20), and its associated directrix is represented by the line y = . What is the equation of the hyperbola?

Question illustration
A
= 1
Option A
B
= 1
Option B
C
= 1
Option C
D
= 1
Option D
28

Graph .

Question illustration
A
On a coordinate plane, an Ellipse has center point (0, negative 1) and goes through points (0, 1), (7, negative 1), (0, negative 3), and (negative 7, negative 1).
Option A
B
On a coordinate plane, an Ellipse has center point (0, 1) and goes through points (0, 3), (7, 1), (0, negative 1), and (negative 7, 1).
Option B
C
On a coordinate plane, an ellipse has center point (0, 0) and goes through (0, 8), (2, 0), (0, negative 8), and (negative 2, 0).
Option C
D
On a coordinate plane, an ellipse has center point (0, 0.5) and goes through (0, 8), (2, 0), (0, negative 9), and (negative 2, 0).
Option D
29

Convert the equation –9x2 + 25y2 – 100y – 125 = 0 into standard form.

A
StartFraction (y + 2) squared Over 9 EndFraction minus StartFraction x squared Over 25 EndFraction = 1
Option A
B
StartFraction (y minus 2) squared Over 5 EndFraction minus StartFraction 9 x squared Over 125 EndFraction = 1
Option B
C
StartFraction (y minus 2) squared Over 9 EndFraction minus StartFraction x squared Over 25 EndFraction = 1
Option C
D
StartFraction (y + 2) squared Over 5 EndFraction minus StartFraction 9 x squared Over 125 EndFraction = 1
Option D
30

A plane intersecting a double-napped cone is parallel to the generator. Which conic section is formed?

A
circle
B
ellipse
C
hyperbola
D
parabola
31

A parabola has the following properties.Vertex at (–2, 1)Directrix is x = 5Which equation represents this parabola?

A
(x + 2) = (y – 1)2
Option A
B
28(x + 2) = (y – 1)2
C
–28(x + 2) = (y – 1)2
D
(x + 2) = (y – 1)2
Option D
32

An ellipse has vertices along the major axis at (0, 1) and (0, −9). The foci of the ellipse are located at (0, −1) and (0, −7). The equation of the ellipse is in the form below.

Question illustration
A
a = 10
B
b = 4
C
h = 3
D
k = 0
33

A yard dart is thrown from a height of 3 feet with an initial velocity of 25 feet per second at an elevation angle of 70°. How long is the dart in the air? Round to the nearest tenth.

A
0.7 seconds
B
0.8 seconds
C
1.5 seconds
D
1.6 seconds
34

What is the radius of the circle with equation ?

Question illustration
A
unit
Option A
B
units
Option B
C
unit
Option C
D
units
Option D
35

The graph of a hyperbola is shown.

Question illustration
A
(0, −4)
B
(−3, 0)
C
(0, 0)
D
(0, 5)
36

Which graph is represented by the equation (x + 3)2 + (y – 4)2 = 9?

A
On a coordinate plane, a circle has center (negative 3, 4) and radius 3.
Option A
B
On a coordinate plane, a circle has center (3, negative 4) and radius 9.
Option B
C
On a coordinate plane, a circle has center (3, negative 4) and radius 3.
Option C
D
On a coordinate plane, a circle has center (negative 3, 4) and radius 9.
Option D
37

Question text not available

Question illustration
A
points G and H
B
points J and K
C
points L and N
D
points M and N
38

Eliminate the parameter in the equations x = 5cos(t) – 7 and y = 5sin(t) + 9. How can the rectangular equation be described?

A
circle
B
ellipse
C
parabola
D
hyperbola
39

An ellipse has vertices along the major axis at (0, 1) and (0, −9). The foci of the ellipse are located at (0, −1) and (0, −7). The equation of the ellipse is in the form below.

Question illustration
A
a = 10
B
b = 4
C
h = 3
D
k = 0
40

Which equation represents a hyperbola?

A
4x2 + 3x + 4y2+ 5 = 0
B
2x2 – 5xy + 4y2 + 10x – y + 12 = 0
C
3x2 – 6xy + 3y2 + 5x – 2y + 1 = 0
D
3x2 + xy – 9y2 + 2x + 5 = 0

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