A plane in three dimensional space can be written as ax + by + cz = d. We can find the possible intersections of planes in this form by writing them as systems of linear equations and using reduction to solve them. If d = 0 in each equation, then we have a homogeneous system with either a unique solution or infinitely many solutions.Determine whether the intersection of the planes:  has a unique solution or infinitely many solutions; then solve the system.

What will be an ideal response?


a unique solution; x = 0, y = 0, z = 0

Mathematics

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Solve.If y varies inversely as x, and y = 3 when x = 56, find y when x = 8.

A. 21
B.
C.
D.

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Write the improper fraction as a mixed or whole number.

A. 4
B. 5
C. 6
D. 5

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The graphs show the position s, velocity v = ds/dt, and acceleration a = d2s/dt2 of a body moving along a coordinate line as functions of time t. Which graph is which?

A. A = position, C = velocity, B = acceleration B. C = position, A = velocity, B = acceleration C. B = position, A = velocity, C = acceleration D. A = position, B = velocity, C = acceleration

Mathematics

Express the repeating decimal as a fraction in lowest terms.0.

A.
B.
C.
D.

Mathematics