Solve the problem.A conservation officer needs to know the width of a river in order to set instruments correctly for a study of pollutants in the river. From point A, the conservation officer walks 100 feet downstream and sights point B on the opposite bank to determine that ? = 30° (see figure). How wide is the river (round to the nearest foot)? 
A. 50 ft
B. 58 ft
C. 173 ft
D. 115 ft
Answer: B
Mathematics
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Solve the given differential equation.2
+ 9
+ 9y = 2x
A. y = c1e-3x + c2e-3x/2 + 
+ 
x
B. y = c1e3x + c2e3x/2 - 
+ 
x
C. y = c1e-3x + c2e-3x/2 - 
+ 
x
D. y = c1e-3x + c2e-3x/2 - 
- 
x
Mathematics
Solve the equation by completing the square.x2 + 4x = 9
A. 2 + 
B. -1 ± 
C. -2 ± 2
D. -2 ± 
Mathematics
Provide an appropriate response.Consider an equation of direct variation y = kx. When x increases, does y increase or decrease?
Fill in the blank(s) with the appropriate word(s).
Mathematics
Find the intercepts and graph.x - 5y = 0
A. 
B. 
C. 
D. 
Mathematics