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3 years ago

Find the distance between -6 and 10

Mathematics

2 answers:

Elanso [62]3 years ago

7 0

Answer:

Step-by-step explanation:

tangare [24]3 years ago

3 0

Answer:

16 units

Step-by-step explanation:

Consider the absolute value of the difference of the points

| - 6 - 10 | = | - 16 | = 16 , or

| 10 - (- 6) | = | 10 + 6 | = | 16 | = 16

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42 divided by 4 and 67 divided by8

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3 years ago

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If you could count $1 per second, how many years would it take to count a 1 billion

pogonyaev

I do believe it's 273,972 years.

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4 years ago

(15 Points)

expeople1 [14]

ANSWER 1

Note that,

$f(u)=tan^{-1}(u)$

is the same as

$f(u)=arctan(u)$

We apply the product rule.

$f(x)=x^2tan^{-1}(x)$

So we keep the second function and differentiate the first,plus we keep the first function and differentiate the second.

$f'(x)=(x^2)'tan^{-1}(x)+x^2(tan^{-1}(x))'$

Recall that,

$f(u)=tan^{-1}(u)$

Then,

$f'(u)=\frac{1}{1+u^2}} \times u'$

This implies that,

$f'(x)=2xtan^{-1}(x)+\frac{x^2}{x^2+1}$

ANSWER 2

We apply the product rule and the chain rules of differentiation here.

$f(x)=xsin^{-1}(1-x^2)$

$f'(x)=x'sin^{-1}(1-x^2)+x(sin^{-1}(1-x^2))'$

Recall that,

$f(u)=sin^{-1}(u)$

Then,

$f'(u)=\frac{1}{\sqrt{1-u^2}} \times u'$

This implies that,

$f'(x)=sin^{-1}(1-x^2)+x \times \frac{1}{\sqrt{1-(1-x^2)^2}}\times (-2x)$

$f'(x)=sin^{-1}(1-x^2)-\frac{2x^2}{\sqrt{1-(1-2x^2+x^4)}}$

$f'(x)=sin^{-1}(1-x^2)-\frac{2x^2}{\sqrt{1-1+2x^2-x^4}}$

$f'(x)=sin^{-1}(1-x^2)-\frac{2x^2}{\sqrt{2x^2-x^4}}$

5 0

4 years ago

Sam is an artist, and he wants to purchase frames to display his work at home. He wants to frame no fewer than 10 of his pieces,

Amiraneli [1.4K]

Answer:

The option D) $24x+18y=\dollar 225$ and $x+y^210$ is correct

Step-by-step explanation:

Given that Sam is an artist, and he wants to purchase frames to display his work at home.

He wants to frame no fewer than 10 of his pieces, and he can spend a maximum of $225. Large frames cost $24, and medium frames cost $18.

<h3>To find the system of inequalities can Sam use to determine the number of large frames, x, and medium frames, y, that he can purchase to meet his needs :</h3>

Let x be the large frames cost

Therefore $x=\dollar 24$

Let y be the medium frames cost

Therefore $y=\dollar 18$

Sam's Spend amount is $\dollar 225$

We can write the system of the given condition by

$24x+18y=\dollar 225$

$x+y^210$

<h3>Therefore the option D) $24x+18y=\dollar 225$ and $x+y^210$ is correct</h3>

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4 years ago

immy said, “The ratio of boys to girls in my class is 3 to 4. For every 3 boys we have 4 girls.” If her class has 24 girls, how

zhenek [66]

Answer:

18 boys

Step-by-step explanation:

24 divided by 4 gives you 6 girls so multiply the amount of boys (3) and you will get how many boys are in her class.

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3 years ago

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