(a ± b)² = a² ± 2ab + b² . . . . . . . (signs match)
The middle term is twice the product of the roots of the other two terms. This tells you the terms of the binomial are the square roots of the end terms.
The sign in the binomial will match the sign of the "2ab" term. The order of terms in the binomial doesn't matter. (a±b)² = (b±a)² when signs match.
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Answer:
D. x = 15; y = 5√3
Step-by-step explanation:
You don't need to know any trig to select the correct answer. You only need to know that the lengths of both sides must be less than the length of the hypotenuse. It is also helpful to know that √3 is about 1.732, so 10√3 ≈ 17.32.
Since x < 10√3, only answer choices A and D are viable.
Since y < 10√3, only answer choice D is viable.
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If you want to solve this using trig relations, you can recall that the sides of a 30°-60°-90° triangle have the ratios 1 : √3 : 2. This means short side y is half the length of the hypotenuse 10√3, so y = 5√3. It also means longer side x is √3 times y, so is x = (5√3)√3 = 5·3 = 15.
x = 15; y = 5√3
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Answer:</h2>
The answer to your question is: (4 x 10^-1)
Answer:
Step-by-step explanation:
The given expression is
First, we need to factor each denominator
So, the least common factor (LCF) is 
, because they are the factors that repeats.
Now, we diviide the LCF by each denominator, to then multiply it by each numerator.
Then, we factor the numerator, to do so, we need to find two numbers which product is 10 and which sum is 7.
Therefore, the expression is equivalent to
Answer:
15x - 4
Step-by-step explanation:
Add both of the equations together.
f(x) + g(x)
(3x + 10x) + (2x -4)
Then, combine like terms
3x + 2x + 10x = 15x
15x - 4
