By using the equation below complete the square, write the equation of the circle in standard form from the following equation. Then determine the center and radius of a circle.

10y + x2 = -18+ 5x - y2

Given:

The equation of a circle is

To find:

The center and radius of the given equation by completing the square.

Solution:

The standard form of a circle is

           ...(i)

where, (h,k) is center and r is radius of the circle.

We have,

It can be written as

         ...(ii)

On comparing (i) and (ii), we get

Therefore, the center is and the radius is units.

step-by-step explanation:

milk=16 large

soda=280 kids

juice box=82 regular

63 soda +63 regular

124 large total

find the magnitude of the trig term  

csc

(

x

)

−

1

by taking the absolute value of the coefficient.

1

find the lower bound of the range.

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y

=

−

2

find the upper bound of the range.

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y

=

0

the range is  

y

≤

−

2

or  

y

≥

0

.

(

−

∞

,

−

2

]

∪

[

0

,

∞

)

{

y

|

y

≤

−

2

,

y

≥

0

}

step-by-step explanation: