Find the focus and directrix of the parabola with the given equation.x = 3y2

A. focus: 
directrix: x = - 
B. focus: 
directrix: x = - 
C. focus: 
directrix: x = 
D. focus: 
directrix: y = - 


Answer: B

Mathematics

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Write the equation of a line that passes through the given point and is parallel to the given line. Write the equation in slope-intercept form and in the form of  where A, B, and C are integers and A > 0.(2, 5); x + y = 12

A. y = x - 3 x - y = 3 B. y = -x - 7 x + y = -7 C. y = x + 3 x - y = -3 D. y = -x + 7 x + y = 7

Mathematics

Solve the problem.Does the graph of the function y = tan x - x have any horizontal tangents in the interval  If so, where?

A. Yes, at x = , x = 
B. Yes, at x = ?
C. Yes, at x = 0, x = ?, x = 2?
D. No

Mathematics

Solve the problem. Round the answer to the nearest tenth, if necessary.Two airplanes depart from the same place at 4:00 p.m. One plane flies north at a speed of 314 mi/hr, and the other flies east at a speed of 313 mi/hr. How far apart are the airplanes at 7:30 p.m.?

A. 2,407,921.3 mi B. 1551.7 mi C. 1330.1 mi D. 443.4 mi

Mathematics

Answer the following statement(s) true (T) or false (F)

A primary reason for adopting hierarchical definition schemes is that they simplify the process of deductive proof.

Mathematics