A triangle with vertices at (x1, y1), (x2, y2), and (x3, y3) has area equal to the absolute value of D, where D = 
.Find the area of the triangle having vertices at P, Q, and R.P(0, 5), Q(5, 8), R(7, 4)
A. 26
B. 0
C. 2
D. 13
Answer: D
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Provide an appropriate response.A city has 204 police officers to be apportioned among 4 precincts based on the population of each precinct. The populations are given in the following table. 
Does the Alabama paradox occur using Hamilton's method if the number of police officers is increased from 204 to 205?
A. Yes B. No
Solve the problem by applying the Fundamental Counting Principle.You are taking a multiple-choice test that has 6 questions. Each of the questions has 4 choices, with one correct choice per question. If you select one of these options per question and leave nothing blank, in how many ways can you answer the questions?
A. 4096 B. 1296 C. 24 D. 10
Provide an appropriate response.Solve the system of equations using the addition method: -3x + y = 5 6x - 2y = -10
A. x = 0, y = 5
B. dependent; many solutions
C. inconsistent; no solution
D. x = -
, y = 0
Provide an appropriate response.How many real solutions are possible for a system of equations whose graphs are an ellipse and a hyperbola (both centered at the origin)?
A. 2 or 4 solutions B. 0, 1, 2, 3, or 4 solutions C. 0, 2, or 4 solutions D. 0, 1, 2, or 3 solutions