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3 years ago

15

A telephone pole stands 20 feet tall. A wire extending from the top of the pole to the ground is 25 feet long. What is the dista

nce from the bottom of the pole and the spot where the wire is attached to the ground?

1 answer:

inn [45]3 years ago

8 0

It’s 15 because of Pythagorean theorem. 25 squared minus 10 squared is 15 squared.

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What is the simplified form of x plus 1 over x squared plus x minus 6 divided by x squared plus 5x plus 4 over x minus 2

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Answer: The simplified form will be

$\frac{1}{(x+3)(x+4)}$

Step-by-step explanation:

Since we have given that

$\frac{x+1}{x^2+x-6}\div \frac{x^2+5x+4}{x-2}$

We need to simplify the above expression, we get that

$\frac{x+1}{x^2+x-6}\div \frac{x^2+5x+4}{x-2}\\\\=\frac{x+1}{x^2+x-6}\times \frac{x-2}{x^2+5x+4}\\$

Now, we first factorize the quadratic equation:

$x^2+x-6\\\\=x^2+3x-2x-6\\\\=x(x+3)-2(x-3)\\\\=(x+3)(x-2)$

Similarly,

$x^2+5x+4\\\\=x^2+4x+x+4\\\\=x(x+4)+1(x+4)\\\\=(x+4)(x+1)$

So, it will become

$\frac{x+1}{x^2+x-6}\times \frac{x-2}{x^2+5x+4}\\\\=\frac{x+1}{(x+3)(x-2)}\times \frac{x-2}{(x+4)(x+1)}\\\\=\frac{1}{(x+3)(x+4)}$

Hence, the simplified form will be

$\frac{1}{(x+3)(x+4)}$

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