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lubasha [3.4K]
4 years ago
13

Find the value of x and the value of y.

Mathematics
1 answer:
koban [17]4 years ago
8 0

Step-by-step explanation:

Given triangle is of the measure of 30°, 60°, 90° triangle.

x is opposite to 60° angle and y is opposite to 30° angle.

According to the 30°, 60°, 90° triangle theorem:

x = \frac{ \sqrt{3} }{2}  \times 10 \sqrt{3}  =  \sqrt{3}  \times 5 \sqrt{3}  = 15 \\  \\ y =  \frac{1}{2}  \times 10 \sqrt{3}  = 5 \sqrt{3}

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If a polynomial function f(x) has roots 3 and StartRoot 7 EndRoot, what must also be a root of f(x)?
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Answer:

–√(7) must also be a root of f(x)

Step-by-step explanation:

Given that the roots of an equation is 3 and √(7). This means that x = 3 or √(7). Therefore, the function is definitely going to be:

f(x) = (x – 3)(x² – 7)

This is because we are dealing with √(7) and what brought about √(7) was x² = 7.

If this is the case, we know that x² = 7 will give

x = ±√(7)

Hence, our roots are x = 3 or √(7) or –√(7). Therefore, –√(7) must also be a root of f(x).

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3 years ago
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artcher [175]
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