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vladimir2022 [97]
3 years ago
13

Through any three non collinear points there exists exactly

Mathematics
1 answer:
choli [55]3 years ago
7 0
Through any three noncollinear points there exists exactly one plane. Hope this is the answer you are looking for! Any questions about my answer then feel free to ask in the comments below!!!
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The slope and length of the given sides of the quadrilateral can be

found by using the coordinates of the vertices.

Correct responses:

  • Slope \ of \ \overline{IJ} = \underline{-\dfrac{7}{6} },      Length of \overline{IJ} = \underline{\sqrt{85} }
  • Slope \ of \ \overline{JK} = \underline {-\dfrac{2}{9}},     Length of \overline{JK} = \underline{\sqrt{85} }
  • Slope \ of \ \overline{KL} = \underline{-\dfrac{7}{6} },      Length of \overline{KL} = \underline{\sqrt{85}}
  • Slope \ of \  \overline{LI} = \underline{ -\dfrac{2}{9} },        Length of \overline{LI} = \underline{\sqrt{85} }

<h3>Methods used to find the slope and length of a line</h3>

The given coordinates of the vertices are;

K(-7, 0), J(2, -2), I(8, -9), L(-1, -7)

  • Slope = \mathbf{\dfrac{y_2 - y_1}{x_2 - x_1}}

  • Length \ of \ line =  \mathbf{ \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}}

Therefore;

Slope \ of \ \mathbf{\overline{IJ}} = \dfrac{-2 - (-9)}{2 - 8} = \dfrac{7}{-6} = \underline{ -\dfrac{7}{6}}

Length \ of \ \mathbf{\overline{IJ}} = \sqrt{(2 - 8)^2 + (-2 - (-9))^2} = \underline{\sqrt{85}}

Slope \  of \ \mathbf{\overline{JK}} = \dfrac{0 - (-2)}{-7 - 2}  = \dfrac{2}{-9} = \underline{-\dfrac{2}{9}}

Length \ of \ \mathbf{\overline{JK}} = \sqrt{(-7 - 2)^2 + (0 - (-2))^2}  = \underline{ \sqrt{85}}

Slope \ of \ \mathbf{\overline{KL}} = \dfrac{0 - (-7)}{-7 - (-1)} = \dfrac{7}{-6} = \underline{ -\dfrac{7}{6}}

Length  \ of \ \mathbf{\overline{KL} }= \sqrt{(-7 - (-1))^2 + (0 - (-7))^2} =\underline{ \sqrt{85}}

Slope \ of \ \mathbf{\overline{LI}} = \dfrac{(-9 - (-7))}{(8 - (-1))} = \dfrac{-2}{9} = \underline{-\dfrac{2}{9}}

Length \ of \ \mathbf{\overline{LI}} = \sqrt{(8 - (-1))^2 + (-9 - (-7))^2} = \underline{\sqrt{85}}

Learn more about finding the slope and length of a line here:

brainly.com/question/11612395

brainly.com/question/14039630

5 0
3 years ago
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