the length of a rectangle is given by the function l(x)=2x+1, and the width of the rectangle is given by the function w(x)=x+4.
which function defines the area of the rectangle?
hint: a=l⋅w
a(x)=2x^2+5x+4
a(x)=3x+5
a(x)=2x^2+9x+4
a(x)=x−3

The correct answer is third option

a(x) =  2x² + 9x + 4

Step-by-step explanation:

It is given that,the length of a rectangle is given by the function l(x)=2x+1, and the width of the rectangle is given by the function w(x)=x+4.

To find the area of the rectangle

Area of rectangle = Length * Breadth

a(x) = l(x) * w(x)

 = (2x + 1)(x + 4)

 = 2x² + 8x + x + 4

 = 2x² + 9x + 4

The correct answer is third option

a(x) =  2x² + 9x + 4

step-by-step explanation:

(2x + 16) + (x) = 180

step-by-step explanation:

given,

abcd is a quadrilateral inscribed in a circle

angle a is labeled x plus 16, (x + 16)

angle b is labeled x degrees, (x)

angle c is labeled 6x minus 4, (6x – 4)

angle d is labeled 2x plus 16, (2x + 16)

what equation can be used to solve for angle b?

we know that the sum of the opposite angles of a simple quadrilateral inscribed in a circle is 180 degrees.

angle b is opposite angle d

therefore, angle b + angle d = 180

(x) + (2x + 16) = 180 

same as (2x + 16) + (x) = 180