Six students are working to simplify the expression shown. drag each student's answer to a box to show whether it is fully simplified, equivalent to the given expression but not fully simplified, or not equivalent to the given expression.

The arrows show the appropriate destination for your dragging.

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Combining like terms in the given expression makes it simplify to ...

  (2x -18x) +(14y) +(9 -10) = -16x +14y -1

We are to compare this expression with the offered expressions to see if they simplify to the same thing. We'll examine those left-to-right starting with the top row:

Here, the given expression,

Thus, by the above explanation,

Equivalent and simplified fully = - 16x + 14y -1

Equivalent but not simplified fully = 1) 9 - 16x + 14y-10

2) 2x - 18x + 14y-1

Not equivalent = 1) 2x - 18x + 14 y - 19

2) - 2xy - 1

3) 16x + 14y - 1

answer:  

step-by-step explanation:

here x represents the height of the pole,

and, the height of the shadow of the pole is 12 feet.

also, the angle of elevation from the top of the pole is 40°,

therefore,

by the low of sine,

which is the required equation for finding the value of x,