Find the equation of the circle that has a diameter with endpoints (-4,8) and (4,-4)

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First we need to find the distance between two points which is the diameter of the circle .

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Suppose :

a = ( - 4 , 8 )

b = ( 4 , - 4 )

We have following equation to find the distance between two points.

Now just need to put the coordinates :

This is the diameter of the circle.

We know that :

So :

Divide sides by 2

Remember it.

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To find the equation of the circle except the radius , we need the coordinates of the centre.

The midpoint of the diameter is the centre of the circle .

So we have to find the midpoint of the diameter .

Look :

This the coordinates of the centre.

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Equation of the circle has a form like this :

In which :

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Thus :

This is the equation of the circle .

And we're done....

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7 ft 6 in means 7 1/2, because 6 in is 1/2 of a foot. 7 ft 8 in means 7 2/3 because 8 in is 2/3 of a foot. 23/3 = 7 2/3. 15/2 = 7 1/2.

23/3   *   15/2   = 57 1/2

step-by-step explanation:

y = 2x

step-by-step explanation:

if you divide each number in the sequence, you'll see that they all have a multiple factor of 2. each number in the series, and any other numbers which may continue, will be multiplied by 2. therefore, y is the next number in the sequence, and x is the current one, so, our formula will be y = 2x.