Solve the problem.A spotlight has a parabolic cross section that is 6 ft wide at the opening and 2.5 ft deep at the vertex. How far from the vertex is the focus? Round answer to two decimal places.

A. 0.26 ft
B. 0.90 ft
C. 0.21 ft
D. 0.52 ft


Answer: B

Mathematics

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Solve for y.9x2 - y + 7x = 0

A. y = 9x2 - 7x B. y = -9x2 - 7x C. y = 9x2 + 7x D. y = -9x2 + 7x

Mathematics

Determine whether the number is divisible by 2, 3, 4, 5, 6, 7, 8, 9, and/or 10.30,020

A. 4, 5, 10 B. 2, 4, 5, 10 C. 4, 5 D. 2, 5

Mathematics

Set up the linear programming problem.Eric's Carpentry manufactures two types of bookshelves that are 4 feet tall and 3 feet wide, a basic model and a deluxe model. Each basic bookshelf requires 1.5 hours for assembly and 1 hour for finishing; each deluxe model requires 2.5 hours for assembly and 1 hour for finishing. Two assemblers and one finisher are employed by the company, and each works 40 hours per week.(a) Using x to denote the number of basic bookcases and y to denote the number of deluxe bookcases, write a system of linear inequalities that describes the possible number of each model of bookcase that can be manufactured in a week.(b) Graph the system and label the corner points.

What will be an ideal response?

Mathematics

Use the quadratic formula to solve the quadratic equation.6y2 + 5 = -12y

A. y = 
B. y =  
C. y =  
D. y =  

Mathematics