Solve the problem.Find the equation of the plane containing the line x = 4 - t, y = 2 + 2t, z = 6 - 3t, and the point (13, -16, 33).

A. x + y + z = -20
B. x + z = -20
C. x - y - z = -20
D. x - z = -20


Answer: D

Mathematics

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Find an equation for the line that passes through the given point and satisfies the given conditions.P = (7, 10); perpendicular to v = 2i - 8j

A. 2x - 8y = -66
B. y - 10 = (x - 2)
C. 2x - 8y = 68
D. -8x - 2y = -76

Mathematics

Find the slope then describe what it means in terms of the rate of change of the dependent variable per unit change in the independent variable.The linear function f(x) = -9.8x + 24 models the percentage of people, f(x), who eat at fast food restaurants each week x years after 1998.

A. m = 9.8; the percentage of people eating at fast food restaurants each week has increased at a rate of 9.8% per year after 1998. B. m = 9.8; the percentage of people eating at fast food restaurants each week has increased at a rate of -9.8% per year after 1998. C. m = 24; the percentage of people eating at fast food restaurants each week has increased at a rate of -9.8% per year after 1998. D. m = -9.8; the percentage of people eating at fast food restaurants each week has decreased at a rate of -9.8% per year after 1998.

Mathematics

Select the graph of the function, and use the Horizontal Line Test to determine whether the function is one-to-one and so has an inverse function. ? g(x) = |x + 5| - |x - 5| ?

A. ?

The function does not have inverse.


B. ?

The function does not have inverse.


C. ?

The function does not have inverse.


D. ?

The function does not have inverse.


E.

The function does not have inverse.


Mathematics

Subtract.94 - 29

A. 123 B. 65 C. 57 D. 85

Mathematics