Factor 7(h+k)^2-21(h+k)
1 answer:
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Answer:
The two column proof is presented as follows;
Statement Reason
1. Parallelogram SUPN ⊥
1. Given
and ⊥
2. ∠SRU = ∠PMN = 90° 2. Definition of perpendicular lines
3. ∠SRU ≅ ∠PMN 2. Definition of congruency
4. ║
4. Opposite sides of a parallelogram are
congruent
5. ∠SNR ≅ ∠PUM 5. Alternate interior angles are congruent
6. ≅
6. Opposite sides of a parallelogram are
congruent
7. ΔPMU ≅ ΔSRN 7. By AAS rule of congruency
By the Angle-Angle-Side (AAS) rule of congruency, we have that, if two angles and a corresponding adjacent side (∠SRU ≅ ∠PMN, ∠SNR ≅ ∠PUM, ≅
) of two triangles (ΔPMU and ΔSRN) are congruent, then the the two triangles are also congruent (ΔPMU ≅ ΔSRN)
Step-by-step explanation:
An algebra tile configuration shows only the product spot, which has 9 tiles in 3 columns with 3 rows. First row: 2 + x squared, 1 + x. Second row: 2 + x squared, 1 + x. Third row: 2 negative x, 1 negative.
The correct option is B.
Given
Equation;
It is a polynomial that is equal to zero.
Polynomial of variable power 2, 1, and 0 terms are there.
Any equation having one term in which the power of the variable is a maximum of 2 then it is called a quadratic equation.
4x² -1 = 0 is a quadratic equation.
An algebra tile configuration showing only the product spot, which has 9 tiles in 3 columns with 3 rows. First row: 2 + x squared, 1 + x. Second row: 2 + x squared, 1 + x. Third row: 2 negative x, 1 negative.
Then,
The factors of the polynomial is;
Hence, an algebra tile configuration shows only the product spot, which has 9 tiles in 3 columns with 3 rows. First row: 2 + x squared, 1 + x. Second row: 2 + x squared, 1 + x. Third row: 2 negative x, 1 negative.
More about the quadratic equation link is given below.