A triangle with vertices at (x1, y1), (x2, y2), and (x3, y3) has area equal to the absolute value of D, where . Use this information to solve the problem.Use D to find the area of the triangle shown.

A. 11.0
B. 12.0
C. 11.5
D. 12.5


Answer: C

Mathematics

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For the given functions f and g , find the indicated composition.f(x) = 7x + 12,g(x) = 3x - 1(f?g)(x)

A. 21x + 11 B. 21x + 35 C. 21x + 19 D. 21x + 5

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Each matrix is nonsingular. Find the inverse of the matrix. Be sure to check your answer.

A.
B.
C.
D.

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Find an equivalent expression by factoring.ar - as + at

A. a(r + s + t) B. ar(1 - s + t) C. r(a - s + t) D. a(r - s + t)

Mathematics

Graph the rational function.f(x) = - 

A.

B.

C.

D.

Mathematics