Write the equation of a line that passes through the given point and is perpendicular to the given line. Write the equation in the form Ax + By = C, where A, B, and C are integers and A > 0.(2, 9); y = x - 6

A. x - y = 7
B. x + y = -11
C. x - y = -7
D. x + y = 11


Answer: D

Mathematics

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Solve the problem. Assume the x-axis is horizontal, the positive y-axis is vertical (opposite g), the ground is horizontal, and only the gravitational force acts on the objects. A projectile is launched from the origin at an angle of ? radians to the horizontal and an initial speed of  Find the position function r(t) for this projectile.

A. r(t) = (125t cos ?)i + (125t sin ? - 16t2)j B. r(t) = (125t cos ? - 32t2)i + (125t sin ?)j C. r(t) = (125t sin ? - 16t2)i + (125t cos ?)j D. r(t) = (125t sin ?)i + (125t cos ? - 16t2)j

Mathematics

Find the extreme values of the function subject to the given constraint.  

A. Maximum: 77 at    minimum: 13 at  
B. Maximum: 81 at    minimum: 9 at  
C. Maximum: 49 at    minimum: 41 at  
D. Maximum: 77 at    minimum: 13 at  

Mathematics

Find an equation for the line with the given properties.Vertical line; containing the point (3, 9)

A. y = 9 B. y = 3 C. x = 9 D. x = 3

Mathematics

Graph the equation.  f(x) = 

A.

B.

C.

D.

Mathematics