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3 years ago

7

. It is not possible to prove one pair of triangles congruent and then use their congruent corresponding parts to prove another

pair congruent. True False

1 answer:

Afina-wow [57]3 years ago

3 0

The correct answer is False.

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Find a power series representation for the function. (Give your power series representation centered at x = 0.) f(x) = x/6x^2 +

timama [110]

Looks like your function is

$f(x)=\dfrac x{6x^2+1}$

Rewrite it as

$f(x)=\dfrac x{1-(-6x^2)}$

Recall that for $|x|$ , we have

$\dfrac1{1-x}=\displaystyle\sum_{n=0}^\infty x^n$

If we replace $x$ with $-6x^2$ , we get

$f(x)=\displaystyle x\sum_{n=0}^\infty\frac(-6x^2)^n=\sum_{n=0}^\infty (-6)^n x^{2n+1}$

By the ratio test, the series converges if

$\displaystyle\lim_{n\to\infty}\left|\frac{(-6)^{n+1} x^{2(n+1)+1}}{(-6)^n x^{2n+1}}\right|=6|x^2|\lim_{n\to\infty}1=6|x|^2$

Solving for $x$ gives the interval of convergence,

$|x|^2$

We can confirm that the interval is open by checking for convergence at the endpoints; we'd find that the resulting series diverge.

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2 years ago

solve the following systems of equations. Express your answer as an ordered pair in the format(a,b), with no spaces between the

kodGreya [7K]

If you multiply the top equation by -2 you get:

-4x -14y = 14 => -4x = 14+14y

now you can plug in the -4x into the second equation:

14+14y - 3y = -19 => 11y = -33 => y=-3

Fill in y=-3 in either equation to find x:

2x - 21 = -7 => 2x = 14 => x=7

So your ordered pair is (7,-3)

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3 years ago

Eighteen less than a number is 44. find the number

vivado [14]

Eighteen less than a number is 44:before you answer this question you must have to think about a equation, which makes easy for you to answer these kind of questions.

look, here the question tells us that x-18=44, so the answer will be:

x-18=44

x=44-18
<span>
x=26</span>

3 0

3 years ago

Read 2 more answers

If you are currently making 6.75 per hour and you’re offered a new job that pays 7.47 per hour how much more would you make per

Nikolay [14]

Answer:

$0.72

Step-by-step explanation:

You are contrasting the numbers, so that means you are subtracting. When you subtract, the larger number goes on top..

7.47 - 6.75 = ?

So then you subtract and get $0.72.

I will make $0.72 more than I was at my current job.

-Mabel <3

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3 years ago

I'm stuck on this question, PLZ HELP. --Mama Mia restaurant used 1/2 of their mozzarella cheese making pizza and the remaining 6

vivado [14]

If Mama Mia used half of their mozarella cheese, that means that 64 ounces is the other half. 64 times 2 equals 128.

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3 years ago

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