Solve the problem.The position of a projectile fired with an initial velocity v0 feet per second and at an angle ? to the horizontal at the end of t seconds is given by the parametric equations   Suppose the initial velocity is 12 feet per second. Obtain the rectangular equation of the trajectory and identify the curve.

A. y =   + (cot ?)x; parabola
B. y = -   + (cot ?)x; hyperbola
C. y = -   + (tan ?)x; parabola
D. y = -   + (tan ?)x; ellipse


Answer: C

Mathematics

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Let z vary jointly with x and y. Find the constant of variation k. Then, use  to find z when x = 5 and y = 7.z = 69,020 when x = 58 and y = 119

A. k = ; z = 350
B. k = 10; z = 350
C. k = 10; z = 120
D. k = ; z = 120

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Find the hours, rate, or earnings as specified.Find the number of regular hours, overtime hours (over 40), and overtime rate (time and a half).

A. 37.75, 8.75, $35.76 B. 40, 6.5, $35.76 C. 40, 6.5, $26.82 D. 46.5, 0, $26.82

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Solve.A domed ceiling is a parabolic surface. For the best lighting on the floor, a light source is to be placed at the focus of the surface. If 1 m down from the top of the dome the ceiling is 28 m wide, find the best location for the light source.

A. 196 m down from the top B. 147 m down from the top C. 98 m down from the top D. 49 m down from the top

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Use the number line to determine whether the statement is true or false. -3 < -5

A. True B. False

Mathematics