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Stels [109]
3 years ago
12

Solve the system by the elimination method.

Mathematics
1 answer:
NikAS [45]3 years ago
5 0
     2x+3y-10=0    (1)
+
     4x-3y-2=0       (2)
    ____________
     6x    -12=0      (if you just want the resulting equation. It is 6x-12=0)
               x=2 
take x=2 and put it into equation (2)
4(2) -3y -2=0
-3y= 2-8 
   y= 2
(x=2,y=2)
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Use Green's Theorem to evaluate the line integral along the given positively oriented curve.
FromTheMoon [43]

Answer:

∫ C ( y + e√x) dx  +  ( 2x + cosy² ) dy = 1/3

Step-by-step explanation: See Annex

Green Theorem establishes:

∫C ( Mdx  +  Ndy )  = ∫∫R ( δN/dx  -  δM/dy ) dA

Then

∫ C ( y + e√x) dx  +  ( 2x + cosy² ) dy

Here

M = 2x  + cosy²           δM/dy  =  1

N = y + e√x                 δN/dx  =  2

δN/dx  -  δM/dy  =  2  -  1   = 1

∫∫(R) dxdy   ∫∫ dxdy

Now integration limits  ( see Annex)

dy  is from   x  = y²    then     y = √x    to  y = x²   and for dx

dx   is from 0   to  1 then

∫ dy    = y | √x   ;   x²      ∫dy    =  x² - √x

And

∫₀¹ ( x² - √x ) dx    =  x³/3  - 2/3 √x |₀¹    =   1/3 - 0

∫ C ( y + e√x) dx  +  ( 2x + cosy² ) dy = 1/3

5 0
3 years ago
A bakery sold 208 pounds of bread last week. This is about 5 times as many pounds as were sold this week. About how many pounds
FrozenT [24]

Answer:

41.6 pounds

Step-by-step explanation:

x to represent the pounds of bread sold this week

208 = 5x  

x = 208/5

x = 41.6

41.6 Pounds of bread were sold this week.  

4 0
3 years ago
Read 2 more answers
Which equation is equivalent to x2+10x+2=0 ?
Svet_ta [14]
<span> x =(10-√92)/2=5-√ 23 = 0.204 or </span><span><span>x =(10+√92)/2=5+√ 23 = 9.796 </span> </span>
4 0
3 years ago
Which unit rate is higher 24 for 5 or 5 for 24
frez [133]

Answer:

24 for 5 is higher because you have to divide 24 by 5 and if you do that it gives you $4.8, while 5 for 24 gives you a unit rate of $0.20.

3 0
3 years ago
In the first event, the eighth graders are running a baton relay race with three other classmates. The team's top speed for each
Vladimir [108]

Answer:

  233.53 s

Step-by-step explanation:

The sum of best times for the legs is ...

  56.81 +59.22 +57.39 +60.11 = 233.53 . . . seconds

Without additional information about the effects of training or the normal variation in times, this is the best prediction we can make.

3 0
4 years ago
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