In an ellipse, what distance does c represent?

The distance from the center to a focus

The distance from the center to a vertex

The distance from the center to a co-vertex

In an ellipse, what distance does b represent?

The distance from the center to a co-vertex

The distance from the center to a vertex

The distance from the center to a focus

Determine the focal distance of an ellipse that is 12 units long and 8 units wide.

20 \sqrt{20} 2 0 <path d="M 95 702 c -2.7 0 -7.17 -2.7 -13.5 -8 c -5.8 -5.3 -9.5 -10 -9.5 -14 c 0 -2 0.3 -3.3 1 -4 c 1.3 -2.7 23.83 -20.7 67.5 -54 c 44.2 -33.3 65.8 -50.3 66.5 -51 c 1.3 -1.3 3 -2 5 -2 c 4.7 0 8.7 3.3 12 10 s 173 378 173 378 c 0.7 0 35.3 -71 104 -213 c 68.7 -142 137.5 -285 206.5 -429 c 69 -144 104.5 -217.7 106.5 -221 c 5.3 -9.3 12 -14 20 -14 H 400000 v 40 H 845.272 s -225.272 467 -225.272 467 s -235 486 -235 486 c -2.7 4.7 -9 7 -19 7 c -6 0 -10 -1 -12 -3 s -194 -422 -194 -422 s -65 47 -65 47 Z M 834 80 H 400000 v 40 H 845 Z" /> or 4.47

2 10 2\sqrt{10} 2 1 0 <path d="M 95 702 c -2.7 0 -7.17 -2.7 -13.5 -8 c -5.8 -5.3 -9.5 -10 -9.5 -14 c 0 -2 0.3 -3.3 1 -4 c 1.3 -2.7 23.83 -20.7 67.5 -54 c 44.2 -33.3 65.8 -50.3 66.5 -51 c 1.3 -1.3 3 -2 5 -2 c 4.7 0 8.7 3.3 12 10 s 173 378 173 378 c 0.7 0 35.3 -71 104 -213 c 68.7 -142 137.5 -285 206.5 -429 c 69 -144 104.5 -217.7 106.5 -221 c 5.3 -9.3 12 -14 20 -14 H 400000 v 40 H 845.272 s -225.272 467 -225.272 467 s -235 486 -235 486 c -2.7 4.7 -9 7 -19 7 c -6 0 -10 -1 -12 -3 s -194 -422 -194 -422 s -65 47 -65 47 Z M 834 80 H 400000 v 40 H 845 Z" /> or 6.32

The ceiling of an elliptical whispering chamber is 17 feet tall at its highest point. They both want to test the chamber's acoustics, so both of them stood 10 feet away from the center on a horizontal line. how long is the horizontal distance between the two walls that pass through the point Alex and Com stand?

389 \sqrt{389} 3 8 9 <path d="M 95 702 c -2.7 0 -7.17 -2.7 -13.5 -8 c -5.8 -5.3 -9.5 -10 -9.5 -14 c 0 -2 0.3 -3.3 1 -4 c 1.3 -2.7 23.83 -20.7 67.5 -54 c 44.2 -33.3 65.8 -50.3 66.5 -51 c 1.3 -1.3 3 -2 5 -2 c 4.7 0 8.7 3.3 12 10 s 173 378 173 378 c 0.7 0 35.3 -71 104 -213 c 68.7 -142 137.5 -285 206.5 -429 c 69 -144 104.5 -217.7 106.5 -221 c 5.3 -9.3 12 -14 20 -14 H 400000 v 40 H 845.272 s -225.272 467 -225.272 467 s -235 486 -235 486 c -2.7 4.7 -9 7 -19 7 c -6 0 -10 -1 -12 -3 s -194 -422 -194 -422 s -65 47 -65 47 Z M 834 80 H 400000 v 40 H 845 Z" /> or 19.72 feet

189 \sqrt{189} 1 8 9 <path d="M 95 702 c -2.7 0 -7.17 -2.7 -13.5 -8 c -5.8 -5.3 -9.5 -10 -9.5 -14 c 0 -2 0.3 -3.3 1 -4 c 1.3 -2.7 23.83 -20.7 67.5 -54 c 44.2 -33.3 65.8 -50.3 66.5 -51 c 1.3 -1.3 3 -2 5 -2 c 4.7 0 8.7 3.3 12 10 s 173 378 173 378 c 0.7 0 35.3 -71 104 -213 c 68.7 -142 137.5 -285 206.5 -429 c 69 -144 104.5 -217.7 106.5 -221 c 5.3 -9.3 12 -14 20 -14 H 400000 v 40 H 845.272 s -225.272 467 -225.272 467 s -235 486 -235 486 c -2.7 4.7 -9 7 -19 7 c -6 0 -10 -1 -12 -3 s -194 -422 -194 -422 s -65 47 -65 47 Z M 834 80 H 400000 v 40 H 845 Z" /> or 13.75 feet

Ellipse

Authored by ramil cole

Mathematics

11th - 12th Grade

CCSS covered

Used 37+ times

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15 questions

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MULTIPLE CHOICE QUESTION

45 sec • 1 pt

What is the center of the ellipse?

(0, 0)

(1, 5)

(1, 0)

(0, 1)

Tags

CCSS.HSG.GPE.A.1

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

Identify the center and the length of a and b.

C: (0,4) a= 25, b=4

C: (0,0) a= 4, b=25

C: (0,5) a= 2, b=5

C: (0,0) a= 5, b=2

Tags

CCSS.HSG.GPE.A.1

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Given the following, write the equation of the ellipse.

Tags

CCSS.HSG.GPE.A.1

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What is the center of the given equation?

(h, k) = (4, 3)

(h, k) = (-4, -3)

(h, k) = (-4, 3)

(h, k) = (4, -3)

Tags

CCSS.HSG.GPE.A.1

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

What are the vertices of the ellipse?

(0, 0)

(7, 1) and (-1, 1)

(3, -5) and (3, 7)

(3, 1)

Tags

CCSS.HSG.GPE.A.1

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Which statement is TRUE?

The center is (0,4)

a = 2

b = 3

c = 5

Tags

CCSS.HSG.GPE.A.1

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Find the standard equation of the given ellipse

Tags

CCSS.HSG.GPE.A.1

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which of the following is the graph of $\frac{\left(x+3\right)^2}{4}+\frac{\left(y+1\right)^2}{9}=1$

Tags

CCSS.HSG.GPE.A.1

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Ellipse

What is the center of the ellipse?

Identify the center and the length of a and b.

Given the following, write the equation of the ellipse.

What is the center of the given equation?

What are the vertices of the ellipse?

Which statement is TRUE?

Find the standard equation of the given ellipse

Find the standard equation of the given ellipse

Which of the following is the graph of (x+3)24+(y+1)29=1\frac{\left(x+3\right)^2}{4}+\frac{\left(y+1\right)^2}{9}=14(x+3)2​+9(y+1)2​=1

In an ellipse, what is the length of the minor axis?

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Which of the following is the graph of $\frac{\left(x+3\right)^2}{4}+\frac{\left(y+1\right)^2}{9}=1$