Find the standard form of the equation of the parabola and determine the coordinates of the focus.

A. , focus:    
B. , focus:   
C. , focus: 
D. , focus: (0,-4)   
E. , focus:     


Answer: C

Mathematics

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Solve the problem.Find the area of the work space for a robotic arm that can rotate between -15° and 30° and can change its length from 10 inches to 21 inches. Round to one decimal place.

A. 24,103.8 square inches B. 133.9 square inches C. 4.3 square inches D. 267.8 square inches

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Find x if f(x) = 0.

f (x) = 5x – 2(x – 13)

Mathematics

Solve the problem. Where appropriate, round to three places.A telephone is placed in the corner of a 13-ft by 17-ft room. Telephone wire will run diagonally under the carpet to the jack in the opposite corner of the room. If 4 ft of slack is required on each end, how much wire should be purchased?

A. 21.401 ft B. 29.401 ft C. 13.401 ft D. 25.401 ft

Mathematics

Find the domain and range of the inverse of the given function.f(x) =  

A. Domain:  ?   

Range:   ?  
B. Domain:  ?   

Range:   ?  
C. Domain:  ?   

Range:   ?  
D. Domain:  ?   

Range:   ?  

Mathematics