The length of a rectangle is (2x+1). The width of the rectangle is (x2+2x-1) what equation represents the perimeter of the rectangle?
A) x to the seconds power+x+3
B)2x to the second power+2x+6
C)2x to the second power+8
D) x to the third power+2x to the second power+x+3

The perimeter of the rectangle is . All options are incorrect.

Given:

The length of the rectangle is .

The width of the rectangle is .

To find:

The equation for the perimeter of the rectangle.

Explanation:

Perimeter of a rectangle is:

Where, is length and is width.

Using the above formula the perimeter of the rectangle is;

Therefore, the perimeter of the rectangle is and all options are incorrect.

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The formula to find the perimeter of a rectangle is 2*length + 2*width

2(2x+1)+2(x^2+2x-1)

First we want to distribute the 2 through both the length and the width

(4x+2) + (2x^2+4x-2)

After we distributed the 2 through like we did up above, we now want to add them together to find the perimeter.

We want to combine all like terms

2x^2, doesn't combine with anything so we leave it the same

4x+4x=8x, add the coefficients and leave the variable

2-2=0, we just leave that out, don't do anything with it

What we have left is:

2x^2+8x,

Which would be C), if the answer is 2x to the second power+8x,

Hope this helps ;)

2nd one in the first row is correct

answer:

given the linear inequality :

add 2y to both sides we get;

simplify:

add 12 to both sides of an equation;

simplify:

divide both sides by 2 we get;

or

the related equation for the inequality equation [1] is;

y-intercepts defined as the graph crosses the y-axis.

substitute x =0 in [2] to solve for y;

y = 6

x-intercepts defined as the graph crosses the x-axis.

substitute value y = 0 to solve for x;

subtract 6 from both sides we get

multiply both sides by 2 we get;

or

x = -12

now, plot these point (0, 6) and (-12, 0) on graph as shown below and shade the graph below the solid line.