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11Alexandr11 [23.1K]
3 years ago
9

Covert to slope intercept form : 9x - 7y = -7

Mathematics
1 answer:
denpristay [2]3 years ago
7 0
Y= 9/7x + 1 ^^^^^^^^
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Find the solution of the differential equation that satisfies the given initial condition. (du)/(dt) = (2t + sec^2 t)/(2u), u(0)
Delicious77 [7]
Ah okay so in differential equations you usually want the top variable isolated. To do this, multiply by dt and 2u and you get
2udu = 2t + { \sec(t) }^{2} dt
Now just integrate both sides. The integral of 2u with respect to u is u². The integral of (2t + sec²(t) with respect to t is t² + ∫sec²(t)dt. The last part is just tan(x) because d/dt(tan(t)) is sec²(t) so just integrating gets us back. Now we have
{u}^{2}   + c =  {t}^{2}  +  \tan(t)  + k
Where c and k are arbitrary constants. Subtracting c from k and you get
{u}^{2}  =  {t}^{2}  +  \tan(t)  + b
Where b is another constant. To find b, just plug in u(0) = -1 where u is -1 and t is 0. This becomes
1 =  \tan(0)  + b
tan(0) is 0 so b = 1. Take the plus or minus square root on both sides and you finally get
u =  \: { {t}^{2} }  +  \tan(t)  + 1
But Brainly didn't let me do but juat remember there is a plus or minus square root on the left.
3 0
3 years ago
Lana sells lampshades for $8 each and paper lanterns for $5 each at a one-day craft fair. She sells k lampshades and (k+5) paper
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Answer:

8k + 5k + 25

Or

13k + 25

Step-by-step explanation:

Lana's total sales = 8k + 5(k+5)

Since the expressions are not given in the question;

The equivalent expression could be

= 8k + 5k + 25

Equivalent to

= 13k + 25

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3 years ago
A = {1, 3, 5, 7, 9}<br> B = {2, 3, 5, 7}<br> What is A ∩ B?
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6 0
3 years ago
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Art [367]

Answer:

1/3

Step-by-step explanation:

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2 years ago
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kolbaska11 [484]
She earns 65 dollars a day replace q with 6.50
6 0
3 years ago
Read 2 more answers
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