How do i do this could you show step by step please?

Mathematics

1 answer:

PSYCHO15rus [73]2 years ago

5 0

Answer:

x = 2

Step-by-step explanation:

This is a 45-45-90 special right triangle. The legs in this triangle are equal and the hypotenuse is leg multiplied with √2. Refer to the picture at the bottom.

One leg is x, the second leg is x and hypotenuse x√2.

$x \sqrt{2} = 2 \sqrt{2} \\\\\text{Divide both sides with } \sqrt{2} \text{ to isolate } x.\\\frac{x \sqrt{2}}{\sqrt{2}} = \frac{2 \sqrt{2}}{\sqrt{2}}\\\\x = 2$

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Find the domain for the rational function f of x equals quantity x end quantity divided by quantity x minus 5 end quantity.

Gennadij [26K]

Answer:

All real numbers except for 5.

Step-by-step explanation:

$f(x)=\frac{x}{x-5}$

The domain of rational functions is determined by the denominator. The denominator cannot equal zero since if they do, the function will be undefined.

Thus, we need to find the zero(s) of the denominator to determine the domain.

$x-5=0$