Yun was trying to factor 7x^2-14x7x
2
−14x7, x, squared, minus, 14, x. He found that the greatest common factor of these terms was 7x7x7, x and made an area model:

What is the width of Yun's area model?

the width of Yun's area model is 7x units or ( x-2 )units .

Step-by-step explanation:

Here we have , Yun was trying to factor 7x^2-14x.  He found that the greatest common factor of these terms was 7x and made an area model:  What is the width of Yun's area model. Let's find out:

We know that area of rectangle :

⇒  .........(1)

Now , According to question we have

⇒

⇒

Comparing this equation to equation (1) we get that :

⇒ or ,

Therefore , the width of Yun's area model is 7x units or ( x-2 )units .

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions

what does x eaqual

step-by-step explanation: