Use a determinant and the given vertices of a triangle to find the area of the triangle.
?

?

A.
B.
C. 18
D. 38
E. 40

Answer: C

Mathematics

You might also like to view...

Provide an appropriate response.Find the coordinates of all points (x, y) on the graph of the equation x2y - y3 = 8 where the tangent line is horizontal.

A. (-2, -2), (2, 2)
B. (0, 0)
C. (0, -2)
D. (-2, 0), (0, -2), (2, 0)

View
Mathematics

If possible, evaluate the expression by hand. If not, approximate the answer to the nearest hundredth. Variables represent any real number.-

A. -10 B. -3.16 C. 3.16 D. 100

View
Mathematics

Solve the problem.The path between three landmarks in a national park form a right triangle. The oldest living evergreen tree is at point A, the ranger station is at point B, and the natural hotspring is at point C. The right angle is at point C, and there is a 60° angle at point B. If the distance between the hotspring and the evergreen tree is 725 yards, find the distance, x, from the hotspring to the ranger station. 

A. 418.58 yd B. 1025.3 yd C. 1255.74 yd D. 512.6524 yd

View
Mathematics

Simplify.

A.
B.
C.
D.

View
Mathematics