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Fudgin [204]
3 years ago
6

OU

Mathematics
1 answer:
Juli2301 [7.4K]3 years ago
4 0

Answer:

The prove is explained below:

Step-by-step explanation:

The computation is given below:

Here we needed two equations

Let us assume x = 0.555 --------------- (1)

Now if multiplied it by 10 to the both sides

So, it would be

10x = 5.555............(2)

Now deduct equation 1 from equation 2 in order to remove the recurring decimals  

(10x - x) = (5.5555 - 0.5555 )

9x = 5 (divided the both sides by 9 )

So x = 5 by 9

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Step-by-step explanation:

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Solve the system (x-1)²+(y-2)²=2² and y=2x+2.
Likurg_2 [28]

Answer:

  (x, y) = (-0.6, 0.8)  or  (1, 4)

Step-by-step explanation:

Use the second equation to substitute for y in the first.

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  x -2x +1 + 4x² = 4 . . . . . . . eliminate parentheses

  5x² -2x -3 = 0 . . . . . . . . . . subtract 4, collect terms

Now we can rearrange the middle term to ease factoring by grouping.

  (5x² -5x) +(3x -3) = 0

  5x(x -1) +3(x -1) = 0

  (5x +3)(x -1) = 0

The values of x that make these factors zero are ...

  x = -3/5, x = 1

The corresponding values of y are ...

  y = 2(-3/5)+2 = 4/5 . . . . for x = -3/5

  y = 2(1) +2 = 4 . . . . . . . . for x = 1

The solutions are: (x, y) = (-3/5, 4/5) or (1, 4).

___

A graphing calculator verifies these solutions.

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Answer:

Please find attached pdf

Step-by-step explanation:

Download pdf
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