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. 10.0
B. 11.0
C. 9.5
D. 10.5


Answer: B

Mathematics

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Calculate the arc length of the indicated portion of the curve r(t).r(t) = (3t sin t + 3 cos t)i  + (3 t cos t - 3 sin t)j ; -3 ? t ? 6

A. 67.5 B. 40.5 C. 135 D. 81

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Find an equation for the line with the given properties.Perpendicular to the line y = x + 9; containing the point (4, -5)

A. y = 7x - 23
B. y = - 7x - 23
C. y = - x - 
D. y = - 7x + 23

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Evaluate the expression without using a calculator, and write your answer in radians. ?

What will be an ideal response?

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Solve the equation by changing it to exponential form.log2x = -4

A. x = -2?4
B. x = 
C. x = - (4)2
D. x = -  

Mathematics