Solve the system of equations.
A. x = 5, y = 4, z = 3; (5, 4, 3)
B. x = 5, y = 3, z = 4; (5, 3, 4)
C. x = 4, y = 3, z = 5; (4, 3, 5)
D. inconsistent
Answer: C
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Find the vertex, focus, and directrix of the parabola. Graph the equation.(x - 3)2 = -8(y + 2)
A. vertex: (-3, 2)
focus: (-3, 0)
directrix: y = 4
B. vertex: (-3, 2)
focus: (-5, 2)
directrix: x = -1
C. vertex: (3, -2)
focus: (3, -4)
directrix: y = 0
D. vertex: (3, -2)
focus: (1, -2)
directrix: x = 5
Answer the question appropriately.Given an obtuse triangle ABC, explain how to construct an altitude from vertex A.
What will be an ideal response?
Simplify by first converting to rational exponents. Assume that all variables represent positive real numbers.
A. 243
B. 81
C. 729
D. 
Mark as true any statement that is always true. Mark as false any statement that is never true or that is not necessarily true. Be able to justify your answers.
1. A soccer ball is a regular polyhedron. 2. The lateral faces of a rectangular prism meet at the apex of the prism. 3. The two opposite faces of a cone are called the bases of the cone and they can be oval (elliptically) shaped as well as truly circularly shaped. 4. A pyramid with rectangular faces is called a rectangular pyramid.