How much is 10.8 converted into a fraction

Mathematics

2 answers:

ollegr [7]4 years ago

7 0

10 4/5 simplified
10 8\10 regular

fiasKO [112]4 years ago

6 0

Start by placing the decimal number over a power of ten. There is 1 number over the decimal place, so place the decimal number over 10^1 (10), and then add the whole number to the left of the decimal.

Then reduce the fraction of the mixed number.

And then finally, convert the mixed number into an improper fraction by multiplying the denominator (5) by the whole number (10), and add the numerator (4). Place the new numerator (54) over the old denominator (5) to get the final fraction.

<u>54
</u><u /> 5

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Identify the radius and center.<br><br> x^2 + y^2 - 2x + 4y - 11 = 0

miss Akunina [59]

<h2>Hello!</h2>

The answer is:

Center: (1,-2)

Radius: 4 units.

To solve the problem, using the given formula of a circle, we need to find its standard equation form which is equal to:

$(x-h)^{2}+(y-k)^{2}=r^{2}$

Where,

"h" and "k"are the coordinates of the center of the circle and "r" is its radius.

So, we need to complete the square for both variable "x" and "y".

The given equation is:

$x^2+y^2-2x+4y-11=0$

So, solving we have:

$x^2+y^2-2x+4y=11$

$(x^2-2x+(\frac{2}{2})^{2} )+(y^2+4y+(\frac{4}{2})^{2})=11+(\frac{2}{2})^{2} +(\frac{4}{2})^{2}\\\\(x^2-2x+1)+(y^2+4y+4)=11+1+4\\\\(x^2-1)+(y^2+2)=16$