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ella [17]
3 years ago
5

The equation for distance is d= st. if a car has a speed of 35 m/s for 15 seconds, how far does it go ?

Mathematics
1 answer:
Temka [501]3 years ago
3 0

Answer:

D.525 M

Step-by-step explanation:

We know the equation

d = st

where d is the distance, s is the speed and t is the time

The problem gives us the speed of 35 m/s and the time of 15 seconds

s = 35 m/s and t =15 s, we can substitute them in

d =st

d = 35 * 15

d = 525 m

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Putting it in matrix form

\begin{bmatrix}a_{1}&b_{1}\\a_{2}&b_{2}\end{bmatrix}{\begin{bmatrix}x\\y\end{bmatrix}=\begin{bmatrix}{c_{1}}\\{c_{2}}\end{bmatrix}\\\Rightarrow\begin{bmatrix}5 & -4\\2 & -1\end{bmatrix}\begin{bmatrix}x\\ y\end{bmatrix}=\begin{bmatrix}-1\\ 5\end{bmatrix}

From Cramer's rule we have

x=\dfrac{\begin{vmatrix}c_1 &b_1 \\ c_2 & b_2\end{vmatrix}}{\begin{vmatrix}a_1 &b_1 \\ a_2& b_2\end{vmatrix}}\\\Rightarrow x=\dfrac{\begin{vmatrix}-1 &-4 \\ 5 & -1\end{vmatrix}}{\begin{vmatrix}5 &-4 \\ 2& -1\end{vmatrix}}\\\Rightarrow x=\dfrac{1+20}{-5+8}\\\Rightarrow x=7

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Verifying the results

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\dfrac{7-5}{9-5}=\dfrac{2}{4}=\dfrac{1}{2}

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