Find the general form of the equation of the the circle.Center at the point (-4, -3); containing the point (-3, 3)

A. x2 + y2 + 8x + 6y - 12 = 0
B. x2 + y2 + 6x - 6y - 17 = 0
C. x2 + y2 + 6x + 8y - 17 = 0
D. x2 + y2 - 6x + 6y - 12 = 0


Answer: A

Mathematics

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Solve the system of equations by the substitution method. If the system does not have a single ordered pair as a solution, state whether the system is inconsistent or dependent.  x + 3y = -8-5x + 2y = -45

A. (7, -5) B. (6, -4) C. No solution; inconsistent D. (-7, -4)

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Add the given pair of complex numbers geometrically.z1 = -4 - 4i, z2 = -9i

A. -13 - 4i B. -4 - 13i C. -4 + 5i D. -17i

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Graph the quadratic function using its properties. Based on the graph determine the domain and range of the quadratic function.f(x) = x2 + 6x + 9

A. domain: {x|-? < x < ?}
range: {y|y ? 9}

B. domain: {x|-? < x < ?}
range: {y|y ? 9}
 
C. domain: {x|-? < x < ?}
range: {y|y ? 0}
 
D. domain: {x|-? < x < ?}
range: {y|y ? 0}
 

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Evaluate the polynomial for the given values of the variables.Evaluate x2 - 4y2 - xy for x = 1 and y = -3.

A. -38 B. -32 C. 40 D. 34

Mathematics