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Zepler [3.9K]
3 years ago
6

A student found the slope of a line that passes through the points (-3, -10) and (5, -7) to be . What mistake did he make?

Mathematics
1 answer:
DedPeter [7]3 years ago
6 0
3/8 would be the correct slope, so D. He did not make a mistake. That is the correct slope.

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Step-by-step explanation:

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Apply Crammer's Rule to find the solution to the following quations .2x + 3y = 1, 3x + y = 5​
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Answer:

The solution to the equation system given is:

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Step-by-step explanation:

First, we must know the equations given:

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Following Crammer's Rule, we have the matrix form:

\left[\begin{array}{ccc}2&3\\3&1\end{array}\right] =\left[\begin{array}{ccc}x\\y\end{array}\right] = \left[\begin{array}{ccc}1\\5\end{array}\right]

Now we solve using the determinants:

x=\frac{\left[\begin{array}{ccc}1&3\\5&1\end{array}\right]}{\left[\begin{array}{ccc}2&3\\3&1\end{array}\right] } =\frac{(1*1)-(5*3)}{(2*1)-(3*3)} = \frac{1-15}{2-9} =\frac{-14}{-7} = 2

y=\frac{\left[\begin{array}{ccc}2&1\\3&5\end{array}\right]}{\left[\begin{array}{ccc}2&3\\3&1\end{array}\right] } =\frac{(2*5)-(3*1)}{(2*1)-(3*3)}=\frac{10-3}{2-9} =\frac{7}{-7}=-1

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  • 1 = 1

And, with the second equation:

  • 3x + y = 5​
  • 3(2) + (-1) = 5
  • 6 - 1 = 5
  • 5 = 5

 

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2 years ago
Simplify the expression
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Step-by-step explanation:

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