Simplify the expression 5x + 4 + 9x =
2 answers:
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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.
- 3 tiles are in the Factor 1 spot: 1 is labeled x and 2 are labeled negative.
- 3 tiles are in the Factor 2 spot: 1 is labeled x and 2 are labeled negative.
- 11 tiles are in the Product spot: 1 is labeled x squared, 4 are labeled negative x, and 6 are labeled.
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:
Step-by-step explanation:
A right angled ∆ is given to us and we need to find out the value of cos 45° ( with rationalized denominator ) . As we know that in a right angle ∆ , the value of cosine is ,
In the given triangle ,
- Value of base = 1
- Value of hypotenuse = √2
On substituting the respective values ,
For rationalizing the denominator , multiply numerator and denominator by √2 , we have,
Simplify ,