Read the method of solving the system of equations.
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Solving the first equation for y, we have . Substituting this value of y into the second equation, we have
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The equation is quadratic. We write it in standard form and apply the quadratic formula.
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Use the method shown above to solve the system of equations.
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A. ?
B. ?
C.
D. ?
E. ?
Answer: C
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Write the equation for the plane.The plane through the point A(-5, -9, 6) perpendicular to the vector from the origin to A.
A. -5x - 9y + 6z = -142
B. 5x + 9y - 6z = -142
C. 5x + 9y - 6z =
D. 5x - 9y - 6z = 8
Solve the proportion. =
A. x =
B. x = 30
C. x = 15
D. x =
Provide an appropriate response. Use a table of solutions to graph the quadratic equation:y = x2 - 6x + 9
A.
B.
C.
D.
Solve the problem.Find the center of mass of a tetrahedron of constant density bounded by the coordinate planes and the plane .
A. =
,
=
,
= 1
B. =
,
=
,
=
C. =
,
= 2,
=
D. =
,
= 1,
=