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2 years ago

What relationship do you notice between the squares of the right triangle?

Mathematics

1 answer:

Brrunno [24]2 years ago

4 0

<h2><u>Answer:</u></h2>

The special relationship that exists between the squares of the lengths of the sides of a right triangle is known as the Pythagorean Theorem. The Pythagorean Theorem states that the sum of the squares of the lengths of the legs of a right triangle equals the square of the length of the hypotenuse.

<h2><em><u>This is all I know.</u></em></h2><h2><em><u>Hope it helps~</u></em></h2><h2><em><u>Good luck with your work!!~ </u></em><u>\^o^/</u></h2>

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Graph the relation. Is the relation a function? Why or why not? {(-5, 6), (-2, 3), (3, 2), (6, 4)}

Rainbow [258]

It is a function, because it has the shape of an x^2 function.

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3 years ago

Factorize x^2/16+xy+4y^2

lisov135 [29]

Answer:

$\frac{x^2}{16} +xy+4y^2$ can be factored out as: $(\frac{x}{4} +2\,y)^2$

Step-by-step explanation:

Recall the formula for the perfect square of a binomial :

$(a+b)^2=a^2+2ab+b^2$

Now, let's try to identify the values of $a$ and $b$ in the given trinomial.

Notice that the first term and the last term are perfect squares:

$\frac{x^2}{16} = (\frac{x}{4} )^2\\4y^2=(2y)^2$

so, we can investigate what the middle term would be considering our $a=\frac{x}{4}$ , and $b=2y$ :

$2\,a\,b=2\,(\frac{x}{4}) \,(2\,y)=x\,y$

Therefore, the calculated middle term agrees with the given middle term, so we can conclude that this trinomial is the perfect square of the binomial:

$(\frac{x}{4} +2\,y)^2$

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3 years ago

-3x+10y=-60<br> 3x+5y=15

Verdich [7]

Answer:

x=10, y=-3

Step-by-step explanation:

solve by addition/elimination

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3 years ago

If each interior angle of a regular polygon measures 120 , how many sides does the polygon have?

KatRina [158]

Answer:

the ans is 6 sides i guess

3 0

2 years ago

Read 2 more answers

Determine whether the following series converge or diverge

Mars2501 [29]

An alternating series $\sum\limits_n(-1)^na_n$ converges if $|(-1)^na_n|=|a_n|$ is monotonic and $a_n\to0$ as $n\to\infty$ . Here $a_n=\dfrac1{\ln(n+1)}$ .

Let $f(x)=\ln(x+1)$ . Then $f'(x)=\dfrac1{x+1}$ , which is positive for all $x>-1$ , so $\ln(x+1)$ is monotonically increasing for $x>-1$ . This would mean $\dfrac1{\ln(x+1)}$ must be a monotonically decreasing sequence over the same interval, and so must $a_n$ .

Because $a_n$ is monotonically increasing, but will still always be positive, it follows that $a_n\to0$ as $n\to\infty$ .

So, $\sum\limits_n(-1)^na_n$ converges.

5 0

3 years ago