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Tcecarenko [31]
3 years ago
10

Tenesha is trying to draw a parallelogram and find its area using the two line segments shownShe begins by finding the missing v

ertex on the graph to be point (9, 5). Then she calculates the area of the parallelogram. What errors did she make? Check all that apply.
Mathematics
1 answer:
victus00 [196]3 years ago
4 0

Answer:

1st: She did not find the correct vertex; it should be at (8, 5).

3rd: She used the wrong length for the base; it should be 7, like the given base.

4th: She used a side length of the parallelogram for the height instead of a line segment perpendicular to the base; the height should be 3.

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A-\lambda I = \left [ \begin{array}{cc} 4-\lambda & 2 \\ 5 & 1-\lambda \end{array}\right ] 

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So, solving for each eigenvector subspace:

\left [ \begin{array}{cc} 4 & 2 \\ 5 & 1 \end{array} \right ] \left [ \begin{array}{c} x \\ y \end{array} \right ] = \left [ \begin{array}{c} -x \\ -y \end{array} \right ]

Gives us the system of equations:

4x + 2y = -x \newline 5x + y = - y 

Producing the subspace along the line y = -\frac{5}{2} x

We can see then that 3 is the answer. 



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