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TEA [102]
4 years ago
14

The sum of two numbers is 24. The difference is 15. What are the two numbers?

Mathematics
1 answer:
tatiyna4 years ago
3 0
The numbers are "x" and "y",
we suggest this system of equations.
x+y=24
x-y=15
solve by reduction method.
x+y=24
x-y=15
-----------------
2x=39      ⇒x=39/2=19.5

  x+y=24
-(x-y=15)
-------------------
   2y=9    ⇒y=9/2=4.5

The numbers are 19.5 and 4.5

To check
19.5+4.5=24
19.5-4.5=15
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Sin of x does not change

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From trigonometry,

Sin(x)=opposite/hypotenose

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But we were given the scale factor of 2 which means the dilation is to two times big.

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