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2 years ago

Select the antonym for the given word.

Mathematics

2 answers:

QveST [7]2 years ago

7 0

Antymon for freedom is bondage, and antymon obedience is rebellion

ikadub [295]2 years ago

4 0

Answer:

Freedom, D) bondage

Obedience, B) rebellion

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Solve for the exact value of x.

blsea [12.9K]

Answer:

$\sqrt{89}$

Step-by-step explanation:

Using the Pythagorean Theorem, if you take 8 and square it, you get 64.

You then take 5 and square it giving you 25.

add the 64 and 25 to get you 89 = x squared.

Then take the square roots of x. (Keep in mind, what you do to one side must be done to the other.)

Because 89 is not a perfect square, you can it it as the square root of 89.

6 0

3 years ago

a positive integer is twice another. The sum of the reciprocals of the two positive integers is frac 3/16, find the two integers

gizmo_the_mogwai [7]

Step-by-step explanation:

Let $x$ be the smallest integer

Let $2x$ be the larger integer

As the sum of the reciprocals of the two positive integers is frac 3/16

So,

$\frac{1}{x}\:+\:\frac{1}{2x}\:=\:\frac{3}{16}$

$\mathrm{Multiply\:by\:LCM=}16x$

$\frac{1}{x}\cdot \:16x+\frac{1}{2x}\cdot \:16x=\frac{3}{16}\cdot \:16x$

Simplify

$24=3x$

$\mathrm{Switch\:sides}$

$3x=24$

$\mathrm{Divide\:both\:sides\:by\:}3$

$\frac{3x}{3}=\frac{24}{3}$

$x=8$

So,

$2x=16$

<h2>Verification:</h2>

$\frac{1}{8}\:+\:\frac{1}{16}$

$\mathrm{Least\:Common\:Multiplier\:of\:}8,\:16:\quad 16$

$=\frac{2}{16}+\frac{1}{16}$

$\mathrm{Since\:the\:denominators\:are\:equal,\:combine\:the\:fractions}:\quad \frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}$

$=\frac{2+1}{16}$

$=\frac{3}{16}$

Therefore,

$\frac{1}{8}+\frac{1}{16}=\frac{3}{16}$

Keywords: word problem , integer

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4 0

3 years ago

What's the property of 8x-1=-8 i DON'T NEED THE ANSWER JUST THE PROPERTY

Helga [31]

Probably the property of subtraction.

-TTL

4 0

3 years ago

How do you work this 68.32/2.8=

timurjin [86]

It will be 24.4
I hope this helps

4 0

3 years ago

The largest<br> apple pie has<br> radius of 20<br> feet. What was<br> its area?

katovenus [111]

1256.64 is the area, because you use this equation- A=πr^2

4 0

3 years ago

Read 2 more answers