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defon
2 years ago
13

E%7B3%7D%20" id="TexFormula1" title=" {6m}^{3 } n {}^{3} \times 8m {}^{2} n^{3} " alt=" {6m}^{3 } n {}^{3} \times 8m {}^{2} n^{3} " align="absmiddle" class="latex-formula">​
Mathematics
1 answer:
just olya [345]2 years ago
5 0

Answer:

48 {m}^{5}  {n}^{6}

Step-by-step explanation:

6{m}^{3}  {n}^{3}  \times 8 {m}^{2}  {n}^{3}

8 \times 6 = 48

So

6{m}^{3}  {n}^{3}  \times 8 {m}^{2}  {n}^{3}  = 48 {m}^{3 + 2} {n}^{3 + 3}

Therefore

48 {m}^{5}  {n}^{6}

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Use the arc length formula to find the length of the curve y = 4x − 5, −1 ≤ x ≤ 3. Check your answer by noting that the curve is
Reptile [31]

Answer:

4\sqrt{17}

Step-by-step explanation:

Let's find the answer by using the arc length formula which is:

\int\limits^a_b {\sqrt{1+(\frac{dy}{dx})^{2} } } \, dx

First, let's find dy/dx which is:

y=4x-5

y'=4*(1)-0

y'=4, now let's use the formula:

\int\limits^3_{-1} {\sqrt{1+4^{2}} } \, dx=\sqrt{17} *(3-(-1))=4\sqrt{17}

Now, using the distance formula we have:

d=\sqrt{(x2-x1)^{2} +(y2-y1)^{2} }

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So we have two points (-1, -9) and (3, 7) so:

d=\sqrt{(3-(-1))^{2} +(7-(-9))^{2} }=4\sqrt{17}

Notice both equations gave the same length 4\sqrt{17}.

5 0
3 years ago
Anwser this will give my prod
ddd [48]

Answer:

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Step-by-step explanation:

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8 0
3 years ago
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In complete sentences explain how you would simplify √8/2.
Dovator [93]

Answer:

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Step-by-step explanation:

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7 0
3 years ago
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mixas84 [53]

Answer:

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2 years ago
Questions:<br>1) 2x2 + 5x + 2 = 0​
xz_007 [3.2K]

Answer:

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Step-by-step explanation:

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3 years ago
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