Use determinants to find the area of the triangle with vertices at the given points. P(0, 0), Q(12, 0), R(12, 9)

A) A = 54
B) A = 9
C) A = 12
D) A = 108
E) none of these


A) A = 54

Mathematics

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Solve the problem.Find the foci and asymptotes of the following hyperbola:25x2 - y2 = 25

A. Foci: (, 0), (-, 0); Asymptotes: y = x, y = - x
B. Foci: (, 0), (-, 0); Asymptotes: y = 5x, y = -5x
C. Foci: (5, 0), (-5, 0); Asymptotes: y = x, y = - x
D. Foci: (0, ), (0, -); Asymptotes: y = 5x, y = -5x

Mathematics

Solve the equation. Give the exact solution or solutions.log2 x2 = log2 (2x + 15)

A. ? B. {-3} C. {5} D. {5, -3}

Mathematics

Solve the equation.80 -  = 

A.
B.
C. {315}
D. {5}

Mathematics

Express the polynomial in descending order. If the polynomial is already in descending order, so state.q3 - q - q4 + q5 - q2 + 3

A. q5 - q4 + q3 - q2 - q + 3 B. q + q3 + q5 - q2 - q4 + 3 C. 3 - q - q2 + q3 - q4 + q5 D. already in descending order

Mathematics