Find the center and vertices of the hyperbola represented by the equation:

a. Center: (–3, 1), vertices: (–8, 1), (2,1)
b. Center: (–3, 1), vertices: (–3, –4), (–3, 6)
c. Center: (3,–1), vertices: (–2, –1), (8, –1)
d. Center: (3, –1), vertices: (3, –6), (3, 4)


a. Center: (–3, 1), vertices: (–8, 1), (2,1)

Mathematics

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Use a tree diagram showing all possible results when four fair coins are tossed. Then list the ways of getting the indicated result.the same outcome on the first two coins

A. hhhh, hhht, hhth, hhtt, tthh, ttht, ttth, tttt B. hhhh, hhht, hhth, hthh, hhtt, tthh, ttht, ttth, tttt C. hhhh, hhht, hhtt, tthh, ttht, ttth, tttt D. hhhh, hhht, hhth, hhtt

Mathematics

Find the volume of the solid. For the cylinder, use ? ? .

A. 636 cu m
B. 2545 cu m
C. 254 cu m
D. 63 cu m

Mathematics

For the following equation, graph y = f1(x) and y = f2(x) on the same screen on your calculator. From the graphs, make a conjecture as to whether the equation is an identity. If so, prove your conjecture.sin 2x = 2 sin x

What will be an ideal response?

Mathematics

Solve the problem. Write ratios in lowest terms.The local middle school has 14 laptops and 40 desktops in its computer lab. The high school has 21 laptops and 60 desktops. Find the ratio of laptops to desktops for each school. Are the ratios the same or different?

A. Middle school: 
High school: 
Same
B. Middle school: 
High school: 
Different
C. Middle school: 
High school: 
Different
D. Middle school: 
High school: 
Same

Mathematics