Louise wants to factorize completely the given polynomial
Grouping first, second terms together and third, fourth terms together
=
Taking common from first and second terms of the given expression and taking 5 common from the third and fourth terms.
=
Taking (x+3) common from the given expression,
= is the completely factored form.
Given:
The point is T(-3,7).
To find:
The image T' after .
Solution:
, it means reflection across x-axis is followed by reflection across y-axis.
If a point is reflected across the x-axis, then
Then point is reflected across the y-axis. So,
Therefore, the coordinates of point T' are (3,-7).
the width of Yun's area model is 7x units or ( x-2 )units .
<u>Step-by-step explanation:</u>
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 .