Find the vertex of the parabola.(y - 6)2 = -8(x + 5)

A. (-6, -5)
B. (-5, 6)
C. (-5, -6)
D. (6, -5)


Answer: B

Mathematics

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Solve the problem.Under standard conditions, molecules of a gas collide billions of times per second. If each molecule has diameter t, the average distance between collisions is given by where n, the volume density of the gas, is a constant. Find .

A.  = - 
B.  = 
C.  = - 
D.  = 

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Solve the problem.Given that the polar equation r =  models the orbits of the planets about the sun, estimate the closest approach of a planet for which  and  to the sun.

A. 8 astronomical units B. 4 astronomical units C. 14 astronomical units D. 68 astronomical units

Mathematics

Factor the difference of squares.(r + s)2 - 9

A. (r - s + 3)(r - s - 3) B. (r2 + 3)(s2 - 3) C. (r + s + 3)(r + s - 3) D. (r + s + 3)(r - s - 3)

Mathematics

Solve the problem.The owner of a video store has determined that the cost C, in dollars, of operating the store is approximately given by  where x is the number of videos rented daily. Find the lowest cost to the nearest dollar.

A. $534 B. $828 C. $632 D. $338

Mathematics