Find an equation for the line, in the indicated form, with the given properties. Containing the points (3, 5) and (-2, -9); general form

A. 14x + 5y = -17
B. 2x - 7y = -67
C. -2x + 7y = -67
D. -14x + 5y = -17


Answer: D

Mathematics

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Parametric equations and a parameter interval for the motion of a particle in the xy-plane are given. Identify the particle's path by finding a Cartesian equation for it. Graph the Cartesian equation. Indicate the portion of the graph traced by the particle and the direction of motion.x = 2 sin t, y = 4 cos t, 0 ? t ? 2?

A.  +  = 1

Counterclockwise from (0, 4) to (0, 4), one rotation
B.  +  = 1

Counterclockwise from (4, 0) to (4, 0), one rotation
C.  +  = 1

Counterclockwise from (0, 2) to (0, 2), one rotation
D.  +  = 1

Counterclockwise from (2, 0) to (2, 0), one rotation

Mathematics

Use the table of values of f to estimate the limit.Let f(x) = , find f(x).

A.
 ; limit = 0.4
B.
 ; limit = -0.5
C.
 ; limit = 0.6
D.
 ; limit = 0.5

Mathematics

Provide an appropriate response.Perform the indicated operations:  +  × 4 -  - 24

A. 54.6 B. 404 C. 209 D. -33

Mathematics

Graph the inequality.y ? 7 

A.  

B.

C.

D.

Mathematics