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Mumz [18]
3 years ago
6

On Monday, the temperature was -8 degrees. On Tuesday, the temperature was 9 degrees warmer than it was on Monday. On wesnday, t

he temperature was 31 degrees colder than it had been on Tuesday. What was the temperature on Wednesday? Plz write an expression and solve? Plz I will give you 100 points
Mathematics
1 answer:
Komok [63]3 years ago
6 0

Answer:

-8 + 9x - 31x

-8 + 9 = 1

1 - 31 = 30

The temp was -30° on Wednesday


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We know that:

(x-a)^2+(y-b)^2=r^2

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\begin{cases}(-1-a)^2+(2-b)^2=r^2\\(0-a)^2+(1-b)^2=r^2\\(-2-a)^2+(-1-b)^2=r^2\end{cases}\\\\\\
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From equations (II) and (III) we have:

\begin{cases}a^2+b^2-2b+1=r^2\\a^2+b^2+4a+2b+5=r^2\end{cases}\\--------------(-)\\\\a^2+b^2-2b+1-a^2-b^2-4a-2b-5=r^2-r^2\\\\-4a-4b-4=0\qquad|:(-4)\\\\\boxed{-a-b-1=0}

and from (I) and (II):

\begin{cases}a^2+b^2+2a-4b+5=r^2\\a^2+b^2-2b+1=r^2\end{cases}\\--------------(-)\\\\a^2+b^2+2a-4b+5-a^2-b^2+2b-1=r^2-r^2\\\\2a-2b+4=0\qquad|:2\\\\\boxed{a-b+2=0}

Now we can easly calculate a and b:

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