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larisa86 [58]
3 years ago
11

Simplify the equation for S please

Mathematics
1 answer:
Alla [95]3 years ago
6 0
This questions expects us to SOLVE for S, i.e. express the the value of S in terms of other variables, and simplify the answer, if necessary.

We need s to be the subject (on the left hand side), so we need to isolate s.
C=(1/3)m(s+b)
First step, cross multiply to rid of numerical fractions.
C/1=(m(s+b))/3   ->  3C=m(s+b)

If there is a multiplier that does not contain s, divide both side by the multiplier.
3C/m = (m/m)(s+b)   ->   3C/m = s+b

We're nearly done.  We need to isolate s, so subtract "extra" terms from the side containing s, i.e. subtract b from both sides:
3C/m - b = s + b  -b   -> 3C/m-b = s

We almost there, but customary practice is to put s on the left-hand side of the equal sign, so just swap sides:
3C/m-b = s   ->   s=3C/m - b
and that's the answer:

s=3C/m - b
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Given

coordinates of center= (0,9)

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Explanation

The equation of circle in standard form is

\begin{gathered} (x-h)^2+(y-k)^2=r^2 \\ (x-0)^2+(y-9)^2=r^2 \end{gathered}

We know the circle passes through (0,27/2), then

\begin{gathered} (0-0)^2+(\frac{27}{2}-9)^2=r^2 \\ r=4.5 \end{gathered}

So the equation in the standard form is

(x-0)^2+(y-9)^2=4.5^2

Final Answer

(x-0)^2+(y-9)^2=4.5^2
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