Arectangle's length is 6 units greater than its width. write an equation expressing the rectangle's area, a, as a function of w. a) a = 2w + 6 b) a = 4w + 12 c) a = w2 + 6w d) a = w2 + 12w

Option C is correct.

an equation expressing the rectangle's area ,

Step-by-step explanation

Area of rectangle(A) is given by:

where,

l is the length of the rectangle and w is the width of the rectangle.

As per the  statement:.

A rectangle's length is 6 units greater than its width

⇒

Substitute in the above formula;a we have;

Using distributive property we have;

or

Therefore, an equation expressing the rectangle's area is,

5

step-by-step explanation:

the polynomial is a perfect square trinomial of the form a^2-2ab+b^2:

option a. true

step-by-step explanation:

9x^2-12x+4

comparing with the form a^2-2ab+b^2

1.) a^2=9x^2

solving for a: square root both sides of the equation:

sqrt(a^2)=sqrt(9x^2)

a=sqrt(9) sqrt(x^2)

a=3x

2.) b^2=4

solving for b: square root both sides of the equation:

sqrt(b^2)=sqrt(4)

b=2

to be a perfet square trinomial 2ab must be equal to 12x. let's check:

2ab = 2 (3x) (2)

2ab = 12x

correct