# Lesson 3 (Mulit. Choice Questions)

### Calculate the price of your order:

275 words
+
Approximate price
\$ 0.00

##### Question 1 of 20
0.0/ 5.0 Points
Halley’s comet has an elliptical orbit with the sun at one focus. Its orbit shown below is given approximately by In the formula, r is measured in astronomical units. (One astronomical unit is the average distance from Earth to the sun, approximately 93 million miles.) Find the distance from Halley’s comet to the sun at its greatest distance from the sun. Round to the nearest hundredth of an astronomical unit and the nearest million miles.

A. 12.13 astronomical units; 1128 million miles
B. 91.54 astronomical units; 8513 million miles
C. 5.69 astronomical units; 529 million miles
D. 6.06 astronomical units; 564 million miles

##### Question 2 of 20
0.0/ 5.0 Points
Use the center, vertices, and asymptotes to graph the hyperbola.

(x – 1)2 – 9(y – 2)2= 9
A.
B.
C.
D.

##### Question 3 of 20
0.0/ 5.0 Points
Find the standard form of the equation of the ellipse and give the location of its foci.

A. += 1
foci at (- , 0) and ( , 0)

B. = 1
foci at (- , 0) and ( , 0)

C. + = 1
foci at (- , 0) and ( , 0)

D. + = 1
foci at (-7, 0) and ( 7, 0)

##### Question 4 of 20
0.0/ 5.0 Points
Rewrite the equation in a rotated x’y’-system without an x’y’ term. Express the equation involving x’ and y’ in the standard form of a conic section.

31x2 + 10xy + 21y2-144 = 0
A. x‘2 = -4 y’
B. y‘2 = -4x’
C. += 1
D. + = 1

##### Question 5 of 20
0.0/ 5.0 Points
Find the standard form of the equation of the ellipse satisfying the given conditions. Foci: (0, -2), (0, 2); y-intercepts: -5 and 5
A. + = 1
B. + = 1
C. += 1
D. + = 1

##### Question 6 of 20
0.0/ 5.0 Points
Find the vertices and locate the foci for the hyperbola whose equation is given.

49x2 – 100y2= 4900
A. vertices: ( -10, 0), ( 10, 0)
foci: (- , 0), ( , 0)

B. vertices: ( -10, 0), ( 10, 0)
foci: (- , 0), ( , 0)

C. vertices: ( -7, 0), ( 7, 0)
foci: (- , 0), ( , 0)

D. vertices: (0, -10), (0, 10)
foci: (0, – ), (0, )

##### Question 7 of 20
5.0/ 5.0 Points
Write the equation in terms of a rotated x’y’-system using θ, the angle of rotation. Write the equation involving x’ and y’ in standard form. xy +16 = 0; θ = 45°
A. +  = 1
B. y‘2 = -32x’
C. += 1
D. = 1

##### Question 8 of 20
0.0/ 5.0 Points
Write the appropriate rotation formulas so that in a rotated system the equation has no x’y’-term.

10x2 – 4xy + 6y2– 8x + 8y = 0
A. x = -y’; y = x’
B. x = x’ – y’; y = x’ + y’
C. x = (x’ – y’); y = (x’ + y’)
D. x = x’ – y’; y = x’ + y’

##### Question 9 of 20
0.0/ 5.0 Points
Find the location of the center, vertices, and foci for the hyperbola described by the equation.

= 1
A. Center: ( -4, 1); Vertices: ( -10, 1) and ( 2, 1); Foci: and
(

B. Center: ( -4, 1); Vertices: ( -9, 1) and ( 3, 1); Foci: ( -3 + , 2) and ( 2 + , 2)
C. Center: ( -4, 1); Vertices: ( -10, -1) and ( 2, -1); Foci: ( -4 – , -1) and ( -4 + , -1)
D. Center: ( 4, -1); Vertices: ( -2, -1) and ( 10, -1); Foci: and

##### Question 10 of 20
0.0/ 5.0 Points
Sketch the plane curve represented by the given parametric equations. Then use interval notation to give the relation’s domain and range.

x = 2t, y = t2+ t + 3
A. Domain: (-∞, ∞); Range: -1x, ∞)

B. Domain: (-∞, ∞); Range: [ 2.75, ∞)

C. Domain: (-∞, ∞); Range: [ 3, ∞)

D. Domain: (-∞, ∞); Range: [ 2.75, ∞)

##### Question 11 of 20
0.0/ 5.0 Points
Use vertices and asymptotes to graph the hyperbola. Find the equations of the asymptotes.

y = ±
A. Asymptotes: y = ± x

B. Asymptotes: y = ± x

C. Asymptotes: y = ± x

D. Asymptotes: y = ± x

##### Question 12 of 20
0.0/ 5.0 Points
Graph the ellipse.

16(x – 1)2 + 9(y + 2)2= 144
A.
B.
C.
D.

##### Question 13 of 20
0.0/ 5.0 Points
Is the relation a function?

y = x2+ 12x + 31
A. Yes
B. No

##### Question 14 of 20
5.0/ 5.0 Points
Determine the direction in which the parabola opens, and the vertex.

y2= + 6x + 14
A. Opens upward; ( -3, 5)
B. Opens upward; ( 3, 5)
C. Opens to the right; ( 5, 3)
D. Opens to the right; ( 5, -3)

##### Question 15 of 20
0.0/ 5.0 Points
Match the equation to the graph.

x2= 7y
A.
B.
C.
D.

0.0/ 5.0 Points
y2= -2x
A.
B.
C.
D.

##### Question 17 of 20
0.0/ 5.0 Points
Convert the equation to the standard form for a hyperbola by completing the square on x and y.

x2 – y2+ 6x – 4y + 4 = 0
A. (x + 3)2 + (y + 2)2 = 1
B. = 1
C. (x + 3)2 – (y + 2)2 = 1
D. (y + 3)2– (x + 2)2 = 1

##### Question 18 of 20
0.0/ 5.0 Points
Eliminate the parameter t. Find a rectangular equation for the plane curve defined by the parametric equations.

x = 6 cos t, y = 6 sin t; 0 ≤ t ≤ 2π
A. x2 – y2 = 6; -6 ≤ x ≤ 6
B. x2 – y2 = 36; -6 ≤ x ≤ 6
C. x2 + y2 = 6; -6 ≤ x ≤ 6
D. x2 + y2 = 36; -6 ≤ x ≤ 6

##### Question 19 of 20
5.0/ 5.0 Points
Convert the equation to the standard form for a parabola by completing the square on x or y as appropriate.

y2+ 2y – 2x – 3 = 0
A. (y + 1)2 = 2(x + 2)
B. (y – 1)2 = -2(x + 2)
C. (y + 1)2 = 2(x – 2)
D. (y – 1)2 = 2(x + 2)

##### Question 20 of 20
0.0/ 5.0 Points
Convert the equation to the standard form for a hyperbola by completing the square on x and y.

y2 – 25x2+ 4y + 50x – 46 = 0
A. – (x – 2)2 = 1
B. – (y – 1)2 = 1
C. (x – 1)2= 1
D. – (x – 1)2 = 1

### Basic features

• Free title page and bibliography
• Unlimited revisions
• Plagiarism-free guarantee
• Money-back guarantee

### On-demand options

• Writer's samples
• Part-by-part delivery
• Overnight delivery
• Copies of used sources

### Paper format

• 275 words per page
• 12pt Arial/Times New Roman
• Double line spacing
• Any citation style (APA, MLA, CHicago/Turabian, Havard)

### Guaranteed originality

We guarantee 0% plagiarism! Our orders are custom made from scratch. Our team is dedicated to providing you academic papers with zero traces of plagiarism.

### Affordable prices

We know how hard it is to pay the bills while being in college, which is why our rates are extremely affordable and within your budget. You will not find any other company that provides the same quality of work for such affordable prices.

### Best experts

Our writer are the crème de la crème of the essay writing industry. They are highly qualified in their field of expertise and have extensive experience when it comes to research papers, term essays or any other academic assignment that you may be given!

## Calculate the price of your order

You will get a personal manager and a discount.
We'll send you the first draft for approval by at
Total price:
\$0.00

### Expert paper writers are just a few clicks away

Place an order in 3 easy steps. Takes less than 5 mins.

error: Content is protected !!
Reliance Papers Inc.
Get Help With All Your Homework Questions. Any Deadline, Affordable, Quality Work Guaranteed!!