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sergejj [24]
2 years ago
6

Please help!

Mathematics
1 answer:
Aliun [14]2 years ago
5 0

Answer:

Step-by-step explanation:

We know that the equation of a circle is:

(

x

−

a

)

2

+

(

y

−

b

)

2

=

R

2

where a and b are the coordinates of the center, and R is the radius.

So in this question we have to complete the squares:

x² + y² - x - 2y - 11/4 = 0       ->

x² - x + 1/4 + y² - 2y = 11/4 +1/4     ->

(x - 1/2)² + y² - 2y + 1 = 12/4 + 1     ->

(x - 1/2)² + (y - 1)² = 4

Therefore, the coordinates of the center are C = ( 1/2, 1) and the Radius is R = 2

      x² + y² - x - 2y - 2³/₄ = 0

               x² + y² - x - 2y = 2³/₄

               x² - x + y² - 2y = 2³/₄

(x² - x + 1) + (y² - 2y + 4) = 2³/₄ + 1 + 4

             (x - 1)² + (y - 2)² = 7³/₄

The coordinates for center of the circle is equal to (1, 2). The coordinates of the length of the radius is √(³¹/₄).

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Answer:

x=11 (read below)

Step-by-step explanation:

7 + x = 18

<em>Subtract 7 from both sides</em>

x=11

It's quite simple because if you do something to one side of the equation, you need to do it to the other because otherwise the equation won't be equal. This is how you need to simplify most problems, by taking something from one side and taking from the other as well.

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<span>(243)^(2/5) = ?
---
The 5 in the denominator means "take the 5th root".
The 2 in the numerator means "square".

---


</span><span>Taking the 5th root first you get:
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Hope this helps :)
~Davinia.
</span>

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Answer:

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Step-by-step explanation:

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