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Romashka [77]
2 years ago
8

Lauren and Aidan left their offices at 6:15 p.m. and drove to meet at a restaurant the same distance away from their offices for

dinner.
Lauren drove at a constant speed of 39 miles per hour.
Aidan drove at a constant speed of 42 miles per hour.
Aidan reached the restaurant at 6:35 p.m.
How far away was Lauren from the restaurant when Aidan reached?
Mathematics
1 answer:
Svet_ta [14]2 years ago
8 0
After 5 hours is the correct answer
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Use Cramer's rule to find the solution to the following system of linear equations.
slavikrds [6]

Answer:

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]

The determinant

= \left|\begin{array}{ccc}1&-2\\5&-9\\\end{array}\right| = -9+10 =1

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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attashe74 [19]
There is a little-known theorem to solve this problem.

The theorem says that
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See the attached triangles for cases 1 and 2.  Let x be the length of the third side.

Case 1:
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Case 2:
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The theorem can be proved by considering the sine rule on the adjacent triangles ADC and BDC with the common side CD and equal angles ACD and DCB.

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Answer:

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