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True [87]
4 years ago
12

What is the answer to 5/9(8+c)=-20

Mathematics
2 answers:
il63 [147K]4 years ago
8 0
5/9(8+c)= -20
⇒ 40/9+ 5/9c= -20
⇒ 5/9c= -20 -40/9
⇒ 5/9c= -24 4/9
⇒ c= -24 4/9/(5/9)
⇒ c= -44

Final answer: c= -44~
snow_tiger [21]4 years ago
5 0
\frac{5}{9} (8 + c) = -20 \\ \\  \frac{5(8 + c)}{9} = -20 \\ \\ 5(8 + c) = -20 \times 9 \\ \\ 5(8 + c) = -180 \\ \\ 8 + c = - \frac{180}{5} \\ \\ 8 + c = -36 \\ \\ c = -36 - 8 \\ \\ c = -44 \\ \\ Answer: \fbox {c = -44}
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<img src="https://tex.z-dn.net/?f=5%28sin%28t%29%20%20%5Cfrac%7Bdy%7D%7Bdx%7D%20%2Bycos%28t%29%29%29%3Dcos%28t%29%20%20%28sin%28
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Assuming you mean

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This ODE is linear in y, and you can already contract the left hand side as the derivative of a product:

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Integrating both sides with respect to t yields

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9=\dfrac1{15}\sin^2\dfrac\pi2+C\csc\dfrac\pi2
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