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3 years ago

#11! Plzzz help Algebra 2 Honors :))))

Mathematics

1 answer:

dmitriy555 [2]3 years ago

7 0

A vertical asymptote simply means that the function is undefined at a certain point. We are given that it occurs at x=25. Notice that x is in the denominator and if the denominator equals 0, the entire function is undefined. a and k are simply constants, and so they can take on any value. This is one of infinite solutions to this question:

$f(x) = \frac{\pi}{x-25} + e^6$

Notice that when you plug in x=25, the denominator is 0 and the function is undefined making it a vertical asymptote.

Hope I could help!

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Which of the following could be the ratio of the length of the longer leg of a 30-60-90 to the length of its hypotenuse? CHECK A

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A. √3 : 2

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Step-by-step explanation:

In a triangle described as 30°-60°-90° triangle, the base angles are 90° and 60°

The side with angles 90° and 60° is the shortest leg and can be represented by 1 unit

The hypotenuse side is assigned a value twice the shorter leg value, which is 2 units

From Pythagorean relationship; the square of the hypotenuse side subtract the square of the shorter leg gives the square of the longer side

This is to say if;

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The hypotenuse is twice the shorter leg= 2 units

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$=2^2-1^2\\\\=4-1=3\\\\\\b^2=3\\\\\\b=\sqrt{3}$

where the longer leg is represented by side b in the Pythagorean theorem, the hypotenuse by c and the shorter leg by a to make;

$a^2+b^2=c^2$

Hence the summary is

a=shorter leg= 1 unit

b=longer leg = √3 units

c=hypotenuse=2 units

The ratio of longer leg to its hypotenuse is

=√3:2⇒ answer option A

This is the same as 3√3:6 ⇒answer option D because you can divide both sides of the ratio expression by 3 and get option A

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