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Draw the graphs of the equations …

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Draw the graphs of the equations x-y=-1, 2x+y-10=0.determine coordinates of the vertices of the triangle formed by these lines and the x_axis and shade the tri nngulers region
  • 1 answers

Sia ? 6 years, 6 months ago

{tex}x - y + 1 = 0{/tex}
{tex}\Rightarrow{/tex} {tex}y = x + 1{/tex}

<th scope="row">x</th> <th scope="row">y</th>
-1 1 0
0 2 1

{tex}2x + y - 10 = 0{/tex}
{tex}\Rightarrow{/tex} {tex}y = 10 - 2x{/tex}

<th scope="row">x</th> <th scope="row">y</th>
2 4 5
6 2 0

Shaded portion is the area bounded by the lines and x-axis.
Area = {tex}\frac{1}{2} A C \times B L{/tex}
{tex}\frac{1}{2} \times 6 \times 4{/tex}
= {tex}12 sq. units{/tex}

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