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natita [175]
3 years ago
6

Rewrite the equation by completing the square. 4 x^{2} -12 x +9 = 04x 2 −12x+9=0

Mathematics
1 answer:
DedPeter [7]3 years ago
4 0

Answer:

  (2x -3)^2 = 0

Step-by-step explanation:

In this particular instance, the square is already complete. The rewrite is to show that.

  (2x -3)^2 = 0

__

In the general case, ...

  (ax +b)^2 = a^2x^2 +2abx +b^2

Comparing this form to the given left-side expression, we see that ...

  a = 2, b = -3

So, the trinomial is already a perfect square trinomial.

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Please explain this step by step and solve within 10-20 minutes please
DaniilM [7]

Answer:

y=\frac{306}{7} is the answer.

In decimal y = 43.71

Step-by-step explanation:

Given:

y varies directly with x .

Also x = 7 when y = 18

To Find:

y = ? when x = 17

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y varies directly with x .

i.e. y is directly proportional to x

∴ y = k\times x

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First we will find constant of proportionality k,

∴ When x = 7 and y = 18 we have

∴ 18 = k\times 7\\\\k=\frac{18}{7}

Now when x= 17 and k=\frac{18}{7} we have

∴ y = k\times x

∴ y=\frac{18}{7}\times 17\\\\y=\frac{306}{7}\\\\ y=43.71

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4 years ago
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