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Answer: Choice D. 4x^2 + 20x + 25</h3>
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Explanation:
Perfect square trinomials are in the form (a+b)^2 = a^2+2ab+b^2
So the first and last terms must be perfect squares. The middle term is twice that of the square roots of each first and last term.
Choice D fits the description because 4x^2 = (2x)^2 is the first term, so a = 2x and 25 = 5^2 is the last term meaning b = 5. Note how 2ab = 2*2x*5 = 20x is the middle term.
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(a+b)^2 = a^2+2ab+b^2
(2x+5)^2 = (2x)^2+2*2x*5+5^2
(2x+5)^2 = 4x^2 + 20x + 25
Answer:
9) C: x=4, y=2rt3
10) A: XY/YZ
11) A: XY/XZ
Step-by-step explanation:
9 - that is a 30, 60, 90 triangle so the ratios will be a, root3a, 2a
10 - tan = opposite / adjacent
11 - cos = adjacent/hypotenuse
The answer is 7
Your welcome
First the distributive property actually means "to share"
Second here's how you do it ...
the two numerators are multiplied , same with the denominator
4 x 10 and 25 x 1
this gets you 40/25 as an improper fraction but here is the simplified answer
1 3/5
