Answer:
We conclude that we must add 4² or 16 to complete the square.
Hence, option C i.e. 16 is the correct answer.
Step-by-step explanation:
We know that the perfect square formula is
<em>(a + b)² = a² + b² + 2ab</em>
Given the equation
Let us add 4² or 16 in the equation
as <em>(a + b)² = a² + b² + 2ab, </em>so
<em />
<em />
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Therefore, we conclude that we must add 4² or 16 to complete the square.
Hence, option C i.e. 16 is the correct answer.
Answer:
x=3
plug that in
123 is the answer
Step-by-step explanation:
<span>Treat the surface of the water as 0. The initial height of the weight was 4 ft above the surface of the water, therefore making it have an initial height of +4. If it travels 12 ft downward to hit the bottom of the pool, that means its height decreased by 12, so its falling is -12. To calculate the depth of the pool, use initial height minus drop distance, so 4 - 12. The depth of the pool is 8 ft.</span>
Answer:
A: 10x^2 +53x +63 B: degree 2; quadratic trinomial C: the result of the multiplication of polynomials is a polynomial
Step-by-step explanation:
Part A:
The area is the product of length and width. The distributive property is useful for simplifying the expression.
A = LW
A = (2x +7)(5x +9) = 2x(5x +9) +7(5x +9)
A = (10x^2 +18x) +(35x +63)
A = 10x^2 +53x +63 . . . . area expression
Part B:
The highest power of x is 2. There are 3 terms. A degree-2 polynomial is called a "quadratic." A 3-term polynomial is called a "trinomial."
degree 2
quadratic trinomial
Part C:
In part A we multiplied two polynomials and came up with a result that is a polynomial. This suggests polynomials are closed with respect to multiplication.
I hope this helps!!
