Apolygon with an area of (4x2 + 2x - 16) square units is combined with a rectangle that has a width of (6x + 2) units and a length of (x - 5) units. then, a polygon with an area of (2x2 - 30x - 10) square units is removed. what is the area of the final polygon?

The area of new polygon is .

Step-by-step explanation:

The area of square =

Width of the rectangle = 6x+2

Length of the rectangle = x-5

Area of the rectangle =

Then we combined square and rectangle. The area of combined figure is the sum of area of square and rectangle.

On combining like terms we get

Then, a polygon with an area of square units is removed. So, new area of the polygon is

Therefore the area of new polygon is .

first anwser choice.

step-by-step explanation:

the greater/less or equal to symbol (> or < with the line at the bottom) is a closed/filled in circle.

-5c + 2 _< _27

subtract from both sides by 2

-5c _< _ 27

divide both sides by -5

c _< _ 5.4

flip the inequality sign

c _> _5.4

the only possible answer that would match the simplified inequality is the first answer choice