Solve the formula for the specified letter. +  = c for b

A. b = ac - 
B. b =  - a
C. b = 
D. b = 


Answer: C

Mathematics

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Name the curve with the given polar equation. If it is a conic, give its eccentricity.r = 

A. Vertical ellipse; e = 
B. Horizontal ellipse; e = 
C. Horizontal hyperbola; e = 6
D. Vertical hyperbola; e = 6

Mathematics

Answer the question.The numbers ? and ? + ? determine the points A and B, respectively, on the unit circle. How are the points A and B related?

A. A and B are the same point. B. B is the reflection of A through the origin. C. B is the reflection of A about the x-axis. D. B is the reflection of A about the y-axis.

Mathematics

Solve the system by either elimination or substitution. Verify your work by using "intersect" on your graphing calculator of by checking that your result satisfies both equations of the system.2(3x - 7) + 5y = 24x - 3(4y + 1) = -23

A. (1, 7) B. (1, 2) C. (-1, 2) D. (2, 2)

Mathematics

Solve the problem.A toy manufacturer makes three types of toys. Toy A requires 12 minutes to assemble, 12 minutes to paint, 4 minutes to package, and sells for $20. Toy B requires 20 minutes to assemble, 12 minutes to paint, 8 minutes to package, and sells for $25. Toy C requires 24 minutes to assemble, 20 minutes to paint, 16 minutes to package, and sells for $30. The manufacturer has available 800 work-minutes for assembly, 600 work-minutes for painting, and 720 work-minutes for packaging each day. They must make at least 10 toys of type A and 15 of type B each day. How many of each type of toy should be produced each day to maximize revenues?

A. 21 of Toy A, 20 of Toy B, 5 of Toy C B. 20 of Toy A, 20 of Toy B, 6 of Toy C C. 25 of Toy A, 25 of Toy B, 0 of Toy C D. 6 of Toy A, 10 of Toy B, 20 of Toy C

Mathematics