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Bogdan [553]
2 years ago
14

Can someone help me with these problems please

Mathematics
1 answer:
Sliva [168]2 years ago
8 0
This is the answer given down

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Real numbers x and y satisfy x + xy^2 = 250y, x - xy^2 = -240y. Enter all possible values of x, separated by commas.
agasfer [191]

Answer:

-35,35,0

Step-by-step explanation:

Let's organise our information :

  • x+xy²=250y
  • x-xy²= -240y

Now let's add them together :

  • x+xy²+x-xy²=250y-240y
  • 2x=10y
  • x=5y ⇒ y= x/5

Let's replace y by x/5 in the first equation :

  • x+x*(x/5)²=250*(x/5)
  • x+ (x∧3)/25 = 50x
  • 49x-(x∧3)/25=0
  • x(49-(x²/25))=0
  • x=0 or 49-(x²/25)=0
  • x=0 or 49= x²/25
  • x=0 or x²=1225
  • x=0 or  x= \sqrt{1225} or x= -\sqrt{1225\\}
  • x=0 or x=35 or x= -35

so x=[0,35,(-35)]

4 0
3 years ago
Read 2 more answers
Find the exact values of the remaining trigonometric functions of θ satisfying the given conditions. (if an answer is undefined,
natita [175]
The answer is undefined.
8 0
4 years ago
Which equation would determine the value of angle a
Burka [1]

Step-by-step explanation:

\cos A \:  =  \frac{8}{17}  \\  \\   \red{ \bold{\therefore \: 17 \: \cos A  = 8}} \\ is \: the \: required \: equation.

4 0
3 years ago
What is the square root of 74
Verizon [17]
8.60232526704 should be your answer. 
Hope this helped :)
8 0
3 years ago
The sum of twice a number (x) and 39 is 77. find the number
Schach [20]
2x + 39 = 77 is the equation trnaslated, thne you subtract 39 from both sides to get  2x = 38 then divide both sides by 2 to get x = 19. the number is 19
8 0
3 years ago
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