Solve the problem.Find the area of the right triangle ABC with A = (-2, 7), B = (7, -1), C = (3, 9).

A.  square units
B.  square units
C. 58 square units
D. 29 square units


Answer: D

Mathematics

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Find the particular solution to the given differential equation that satisfies the given conditions.y'' - 6y'+ 25y = 0, y = 4 at x = 0 and y = 5e3?/8 at x = ?/8

A. y = e3x(4 sin 4x + 5 cos 4x) B. y = 4e3x + 5e4x C. y = e4x(5 sin 3x + 4 cos 3x) D. y = e3x(5 sin 4x + 4 cos 4x)

Mathematics

Find the limit of the sequence if it converges; otherwise indicate divergence.an = 1 + (-1)n + (-1)n(n+1)

A. 3 B. 1 C. 0 D. Diverges

Mathematics

Solve the equation. Give an approximate solution to four decimal places.e(x + 7) = 4

A. 2.3979 B. -4.6021 C. -5.4959 D. -5.6137

Mathematics

Solve by the method specified.Addition method8x + 5y = -704x - 3y = -2

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

Mathematics