AnswersNC-Math 4 CRVector Multiplication Using Matrices

Equations of Ellipses Answers

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1
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Which statements about the ellipse are true? Select three options.

A
The center is at (0, 0).
B
The major axis is 4 units long.
C
The vertices are 4 units to the left and right of the center.
D
The foci are units to the left and right of the center on the major axis.
Option D
E
The directrices are vertical lines.
2
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An ellipse is represented by the equation .Each directrix of this ellipse is a ________________________ from the center on the major axis.

Question illustration
A
horizontal line that is 20 units
B
vertical line that is 20 units
C
horizontal line that is 31.25 units
D
vertical line that is 31.25 units
3

The equation represents an ellipse.

Question illustration
A
x = −8.6 and x = 8.6
B
x = −6.6 and x = 10.6
C
y = −8.6 and y = 8.6
D
y = −6.6 and y = 10.6
4

Question text not available

Question illustration
A
points N and P
B
points O and P
C
points Q and R
D
points S and T
6

Question text not available

Question illustration
A
(−2.2, 4) and (8.2, 4)
B
(−0.8, 4) and (5.2, 4)
C
(3, -1.2) and (3, 9.2)
D
(3, 1.3) and (3, 6.7)
7

The equation represents an ellipse.Which points are the approximate locations of the foci of the ellipse? Round to the nearest tenth.

Question illustration
A
(−8, −4.6) and (−8, 2.6)
B
(−2.6, −8) and (4.6, 8)
C
(1, 4.4) and (1, 11.6)
D
(11.6, 1) and (4.4, 1)
8

Which statements about the ellipse are true? Select three options.

A
The center is at (−4, 2).
B
The distance between the center and each covertex is 3 units.
C
The vertices are at (−7, 1) and (−1, 1).
D
Each focus is approximately 2.65 units above or below the center.
E
The directrices are horizontal lines approximately 6 units from the center on the major axis.
10

The equation represents an ellipse.Which points are the vertices of the ellipse?

Question illustration
A
(7, 1) and (7, −5)
B
(7, −10) and (7, 6)
C
(10, −2) and (4, −2)
D
(15, −2) and (−1, −2)

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Equations of Ellipses Answers — NC-Math 4 CR