Find an equation for the hyperbola described. Graph the equation.Vertex at (0, 6); foci at (0, 
) and (0, -
)
A. 
- 
= 1
B. 
- 
= 1
C. 
- 
= 1
D. 
- 
= 1
Answer: C
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Expand.(x - 
)5
A. x5 - 5x4
+ 2x3 - 20x2
+ 20x - 4
B. x5 - 5x4
+ 20x3 - 20x2
+ 20x - 4
C. x5 - 5x4
+ 20x3 - 20x2
+ 20x - 4
D. x5 - 5x4
+ 20x3 - 20x2
+ 4x - 4
Solve the problem.The three angles in a triangle always add up to 180°. If one angle in a triangle is 114° and the second is 5 times the third, what are the three angles?
A. 114°, 56°, 10° B. 114°, 54°, 12° C. 114°, 53°, 13° D. 114°, 55°, 11°
Solve the problem.In 1838, the German mathematician and astronomer Friedrich Wilhelm Bessel was the first person to calculate the distance to a star other than the Sun. He accomplished this by first determining the parallax of the star, 61 Cygni, at 0.314 arc seconds (Parallax is the change in position of the star measured against background stars as Earth orbits the Sun. See illustration.) If the distance from Earth to the Sun is about 150,000,000 km and ? = 0.314 seconds = 
minutes = 
degreesdetermine the distance d from Earth to 61 Cygni using Bessel's
figures. 
What will be an ideal response?
Express the number in scientific notation.0.000315
A. 3.15 × 10-3 B. 3.15 × 104 C. 3.15 × 10-4 D. 3.15 × 10-5