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pentagon [3]
3 years ago
10

From midnight to 2:00 am, the temperature rose 1.15°C each hour. If the temperature at 2:00 am was -2.7°C, what was the temperat

ure at midnight?
Mathematics
1 answer:
malfutka [58]3 years ago
3 0

Answer: -5 degrees Celsius

Step-by-step explanation:

Temp at 2:00am = -2.7

2:00am is two hours after midnight

During that time the temperature has risen by 1.15 degrees every hour so has risen in total by:

1.15x2 = 2.3 degrees

-2.7-2.3=-5

It was -5 degrees at midnight

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3 years ago
Use Cramer's rule to find the solution to the following system of linear equations.
slavikrds [6]

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x = 53

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Step-by-step explanation:

Step(I):-

Given equations are

x -2y =-7 ...(I)

5x-9y =-5 ..(ii)

The matrix form  AX = B

                    \left[\begin{array}{ccc}1&-2\\ 5  & -9\\\end{array}\right] \left[\begin{array}{ccc}x\\y\\\end{array}\right] = \left[\begin{array}{ccc}-7\\-5\\\end{array}\right]

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By using Cramer's Rule

Δ₁ =      \left[\begin{array}{ccc}-7&-2\\\\-5&-9\end{array}\right]



The determinant is     Δ₁ = -9 X -7 - (10 ) = 53

x = Δ₁ / Δ

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The determinant

Δ₂ =



Δ₂ = -5 +35

     

 

y = Δ₂/Δ =  30

     

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