Find the vertices of the hyperbola.9x2 - 25y2 = 225

A. (-5, 0), (5, 0)
B. (0, 3), (0, -3)
C. (0, 5), (0, -5)
D. (-3, 0), (3, 0)


Answer: A

Mathematics

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Find the general equation of the orthogonal trajectories of the curves for the given equations.The linear curves y = cx

A. y2 - x2 = c B. x = cy2 C. y = cx2 D. y2 + x2 = c

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The function f is one-to-one. Find its inverse.f(x) = 

A. f-1(x) = 
B. f-1(x) = 
C. f-1(x) = 
D. f-1(x) = 

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Divide using synthetic division.

A. -4x2 - 2x + 5
B. 4x2 + 2x + 5
C. 4x2 x + 5 + 5
D. 2x2 + 5x + 

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Use the fact that the quantity of a radioactive substance after t years is given by where is the original amount of radioactive material and k is its half-life (the number of years it takes for half the radioactive substance to decay).The half-life of strontium-90 is 25 years. Find the amount of strontium-90 remaining after 7 years if

src="https://sciemce.com/media/3/ppg__cognero__Chapter_00_Algebraic_Concepts__media__d827b24d-a45d-4335-8745-6e7002f63fdd.PNG" class="wirisformula" align="middle" style="vertical-align: middle;" data-wiris-created="true" varid="variable_id_field" variablename="impvar_d8742b82809f4366887d890a9" />. Round your answer to one decimal place. ? A. 8.1 kg B. 79.1 kg C. 5.8 kg D. 116.6 kg E. 0.8 kg

Mathematics