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likoan [24]
3 years ago
11

-2m(m+n-4)+5(-2m+2n)+n(m+4n-5)

Mathematics
2 answers:
charle [14.2K]3 years ago
8 0
Hello! And thank you for your question!

First we are going to expand the equation:

<span>−2<span>m^<span><span>​2</span><span>​​</span></span></span>−2mn+8m−10m+10n+nm+4<span>n<span><span>​^2</span><span>​​</span></span></span>−5n

Then we are going to combine like terms:

</span><span><span>−2<span>m<span><span>​^2</span><span>​​</span></span></span>+(−2mn+mn)+(8m−10m)+(10n−5n)+4<span>n<span><span>​^2</span><span>​​</span></span></span></span>
</span>
Then finally, simplify:

−2<span>m<span><span>​^2</span><span>​​</span></span></span>−mn−2m+5n+4<span>n<span>​^<span>2

Final Answer:
</span></span></span>
−2m​^2​​−mn−2m+5n+4n​^2
arlik [135]3 years ago
4 0
-2m(m+n-4)+5(-2m+2n) +n(m+4n-5)
-2m^2-2mn+8m-10m+10n+mn+4n^2-5n
-2m^2+4n^2-2m+5n-mn
Hope this helps!
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Find the slope of the line passing through the pairs of points and describe the line as rising, falling, horizontal or vertical.
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Answer:

a.\ m=2,\ \text{the line is rising}\\\\b.\ m=-\dfrac{5}{4},\ \text{the line is falling}\\\\c.\ m=0,\ \text{the line is horizontal}\\\\d.\ m\ is\ unde fined,\ \text{the line is vertical}

Step-by-step explanation:

The formula of a slope:

m=\dfrac{y_2-y_1}{x_2-x_1}

If

m > 0, then a line is rising

m < 0, then a line is falling

m = 0, then a line is horizontal

m is undefined, then a line is vertical

<h2>a.</h2>

(2, 1) and (4, 5)

m=\dfrac{5-1}{4-2}=\dfrac{4}{2}=2>0\to\text{rising}

<h2>b.</h2>

(-1, 0) and (3, -5)

m=\dfrac{-5-0}{3-(-1)}=\dfrac{-5}{4}=-\dfrac{5}{4}

<h2>c.</h2>

(2, 1) and (-3, 1)

m=\dfrac{1-1}{-3-2}=\dfrac{0}{-5}=0\to\text{horizontal}

<h2>d.</h2>

(-1, 2) and (-1, -5)

m=\dfrac{-5-2}{-1-(-1))}=\dfrac{-7}{0}\ \text{UNDEFINED}\to\text{vertical}

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3 years ago
Jay went on a diet and lost 5 pounds each month. Find Jay's net weight change in 6 months.
Goryan [66]

Answer:

a 30 pound weight change in 1 month

Step-by-step explanation:

5 pounds

--------------- times 6 months  results in a 30 pound weight change in 1 month

 1 month

7 0
3 years ago
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