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Yuri [45]
3 years ago
13

3. Suppose e and f are real numbers where e>0 and f<0.

Mathematics
1 answer:
boyakko [2]3 years ago
6 0
Part A:

Given that <span>e and f are real numbers where e > 0 and f < 0.
Since e > 0, this means that e is positive and -e is negative.
Also, since f < 0, this means that f is negative.

The sum of two negative numbers gives a negative number.

Therefore, -e + f is negative.


</span>
<span>Part B:

Given that <span>e and f are real numbers where e > 0 and f < 0.
Since e > 0, this means that e is positive.
Also, since f < 0, this means that f is negative and -f is positive.

Recall that e - f = e + (-f)
The sum of two positive numbers gives a positive number.

Therefore, e - f is positive.


</span></span>
<span>Part C:

Given that <span>e and f are real numbers where e > 0 and f < 0.
Since e > 0, this means that e is positive and -e is negative.
Also, since f < 0, this means that f is negative.

Recall that f - e = f + (-e)
The sum of two negative numbers gives a negative number.

Therefore, f - e is negative.</span></span>
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2 years ago
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Answer:

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Step-by-step explanation:

Applying Pythagoras theorem on right angle triangle

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3 years ago
If an object has an acceleration of 7 m/s, and a mass of 3 kg, what is its force?
Anuta_ua [19.1K]

Answer:

force = 21 kg m/s^2 = 21 N

Step-by-step explanation:

If an object has mass (m)  3 kg, and its acceleration (a) is 7 m/s^2, its force is given by Newton's second law of motion: Force = M * a

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This combinations of units (kg * m/s^2) is defined as Newtons in physics and abbreviated "N".

So we can say that the force on this object is of magnitude 21 N

7 0
3 years ago
Evaluate tan ( cos^-1 ( 1/8 ) ) , giving your answer as an exact value (no decimals)
vekshin1

\bf cos^{-1}\left( \cfrac{1}{8} \right)=\theta \qquad \qquad cos(\theta )=\cfrac{\stackrel{adjacent}{1}}{\stackrel{hypotenuse}{8}}\impliedby \textit{let's find the \underline{opposite}} \\\\\\ \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies \sqrt{c^2-a^2}=b \qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases} \\\\\\ \pm\sqrt{8^2-1^1}=b\implies \pm\sqrt{63}=b ~\hfill tan(\theta )=\cfrac{\stackrel{opposite}{\pm\sqrt{63}}}{\stackrel{adjacent}{1}} \\\\\\ ~\hspace{34em}


\bf \stackrel{\textit{keeping in mind that}}{tan\left(cos^{-1}\left( \frac{1}{8} \right) \right)}\implies tan(\theta )

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kolezko [41]

✧・゚: *✧・゚:*    *:・゚✧*:・゚✧

                  Hello!

✧・゚: *✧・゚:*    *:・゚✧*:・゚✧

❖ You can write 0.8 as 8/10 and 80% as 80/100.

(8/10 and 8/100 are equivalent.)

~ ʜᴏᴘᴇ ᴛʜɪꜱ ʜᴇʟᴘꜱ! :) ♡

~ ᴄʟᴏᴜᴛᴀɴꜱᴡᴇʀꜱ

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