The statement for geometric model using algebra tiles represents the factorization is the statement number 2.
<h3>What is algebra tile?</h3>Algebra tiles used to represent the algebraic expression in the table form. The shape of algebra tile is square and rectangle, in which the variables represented.
The given polynomial equation in the problem is,
In the above polynomial, the highest power of variable is 2. Thus, it is a quadratic equation.The image of the algebra tile for the given polynomial attached below.
The statement which satisfy the polynomial and its algebra tile is,
An algebra tile configuration.
Thus, the statement for geometric model using algebra tiles represents the factorization is the statement number 2.
Learn more about the algebra tile here;
Answer:
49x + 114
Step-by-step explanation:
[ [ fireplace ] x = area of 5 ] x + 6
5x
patio = area of 5 + 49x + 114
5x + 19
(5x + 19) ( x + 6) = 5 + 19x + 30x + 114
(5 + 49x + 114) - (5
) = 49x + 114
(area of patio and fireplace) - (area of fireplace) = (area of patio only)
Given:
The linear equation is:
To find:
The statement that best describes the graph of the given linear equation.
Solution:
The slope intercept form of a linear function is:
...(i)
Where, m is the slope anf b is the y-intercept.
We have,
It can be written as:
(ii)
On comparing (i) and (ii), we get
Therefore, the graph has a slope of -1 and a y-intercept of 1. Hence option D is correct.