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LenaWriter [7]
3 years ago
11

Graph the linear inequality. 3x-y<6

Mathematics
1 answer:
Sphinxa [80]3 years ago
6 0

Answer:

Step-by-step explanation:

3 x - y < 6

dividing whole equation by 6 equation comes out to be

\frac{3x}{6}-\frac{y}{6}

\frac{x}{2}+\frac{y}{-6}

from the above equation we can clearly see that the x and y co-ordinate

x co-ordinate will be (2,0) where y coordinate will be(0,-6)

and the plot is given in the attachment given below.

where as the shaded portion gives the desired  region.

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1. Determine the magnitude of the resultant force acting on the plate and its direction, measured counter-clockwise from the pos
AlexFokin [52]
F1 . . . 100% of it = 900N is in the +x direction.

F2 . . . 70.7% of it (cos45°, 530.3N) is in the +x direction,
and 70.7% of it (sin45°, 530.3N) is in the +y direction.

F3 . . . 80% of it (520N) is in the -x direction,
and 60% of it (390N) is in the +y direction.

Total x-component:  900 + 530.3 - 520  =  1,950.3 N

Total y-component:  530.3 + 390  =  920.3 N

Magnitude of the resultant = √ (x²  +  y²)

                                       = √(1950.3²  +  920.3²)

                                       =  √4,650,070.09

                                       =   2,156.4 N  .

Angle of the resultant, measured counterclockwise
from the +x axis, is 
 
                               tan⁻¹  (y / x)

                         =    tan⁻¹  (920.3 / 1950.3)

                         =    tan⁻¹  (0.4719)

                         =    about    25.3°  .

Caution:
The same fatigue that degrades my ability to READ the question accurately
may also compromise the accuracy of my solutions.  Before you use this
answer for anything, check it, check it, check it !

 
4 0
3 years ago
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