1. segment AB and segment BC are tangent to circle D. Find angle B if arc AEC measures 210°?

Question

http://i221.photobucket.com/albums/dd155/duckygirl...

A.) 105°

B.) 30°

C.) 285°

D.) Cannot be determined

2. What is the distance between P(12, 11) and Q(5, 1)?

A.) square root of 389

B.) square root of 193

C.) square root of 149

D.) square root of 51

3. The equation x squared plus y squared equals 14 represents a __________.

A.) parabola

B.) circle

C.) hyperbola

D>) ellipse

4. What are the foci of the following graph?

http://i221.photobucket.com/albums/dd155/duckygirl...

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

B.) (-1- square root of 77, 3) and (-1 + square root of 77, 3)

C.) (-1- square root of 85, 3) and (-1 + square root of 85, 3)

D.) (-8, 3) and (6, 3)

Answer 1

Favorite Answer

http://www.flickr.com/photos/dwread/4669655166/

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Use the Pythagorean Theorem

http://www.flickr.com/photos/dwread/4669086997/

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circle of radius √14

http://www.flickr.com/photos/dwread/4669714302/

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For a horizontal ellipse:

     (x-h)²/a² + (y-k)²/b² = 1

     center (h, k)

     a ≥ b > 0

     vertices (h±a, k)

     length of major axis = 2a

     co-vertices (h, k±b)

     foci (h±c, k) where c²=a²-b²

vertices (-10, 3) and (8, 3)

center (-1, 3)

a = 9

b = 2

c = √(9²+2²)

= √85

foci (-1±√85, 3) = (-1-√85, 3) and (-1+√85, 3)

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