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2 years ago

Find the length of side x in simplest radical form with a rational a denominator.

Mathematics

1 answer:

Drupady [299]2 years ago

5 0

Step-by-step explanation:

${x}^{2} = {7}^{2} + {7}^{2} \\ {x}^{2} = 98 \\ x = \sqrt{98} = 7 \sqrt{2}$

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Answer the question with explanation;

PSYCHO15rus [73]

Answer:

The statement in the question is wrong. The series actually diverges.

Step-by-step explanation:

We compute

$\lim_{n\to\infty}\frac{n^2}{(n+1)^2}=\lim_{n\to\infty}\left(\frac{n^2}{n^2+2n+1}\cdot\frac{1/n^2}{1/n^2}\right)=\lim_{n\to\infty}\frac1{1+2/n+1/n^2}=\frac1{1+0+0}=1\ne0$

Therefore, by the series divergence test, the series $\sum_{n=1}^\infty\frac{n^2}{(n+1)^2}$ diverges.

EDIT: To VectorFundament120, if $(x_n)_{n\in\mathbb N}$ is a sequence, both $\lim x_n$ and $\lim_{n\to\infty}x_n$ are common notation for its limit. The former is not wrong but I have switched to the latter if that helps.

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2 years ago

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Hey guys, I'm relearning some Algebra and was confused about this problem. In the equation, the problem was divided by 3. This m

spayn [35]

Answer and Step-by-step explanation:

The signs didn't really "swap". Instead, the whole function was divided by -1, or we could say the function was divided by -3. That would turn:

-18x² - 15x + 3 = 0

into

(-18 / -3)x² - (15 / -3)x + (3 / -3) = 0

6x² + 5x - 1 = 0

And that gives the "swapped signs".

4 0

3 years ago

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2x − 2) + (x + 1) + x + (x + 1) = (2x − 9) + (x + 1) + (x + 8) + x,

KengaRu [80]

Answer:

x=1

Step-by-step explanation:

5x=5x x=1

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3 years ago

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Yo broskis another question. Answer it in fraction form.

Olenka [21]

Answer:

-(5/7) please give me brainest

Step-by-step explanation:

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2 years ago

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De las siguientes relaciones entre dos variables, razona cuáles son funcionales y cuáles no: a. Edad – altura de la persona a lo

Arte-miy333 [17]

Answer:

In this problem, we need to describe the relation between variables, if that relation is functional or not. It's important to say that we assumed that the first variable is independent, and the second is dependent.

Age - Height of the person along his life: These variable are functinal and make total sense, because through time the person grows, which means the height changes as the age increases. These variables have a proportional relationship.

Height - Age of the person: These relation is not functional, becasuse age can't be a dependent variable, beacuse the age of a person doesn't depends on his height.

Gasoline price - Day of the Month: These relation is not functional, becasue time must be the independent variable.

Day of the Month - Gasoline price: These realation make sense, beacuse the price of the gasoline can be depedent of the day of the month.

A number and its fifth part: Notice that the fifth part depends on the number, it's defined by it, so this can be a function.

A number and its square root: These two variables represent a function, where "a number" represents the domain value and "its square root" represents a range vale.

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3 years ago