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NARA [144]
3 years ago
14

Find the midpoint between points (-4,2) and (2,-2) (1,-1) (0,-1) (-1,0) (1,0)

Mathematics
1 answer:
djverab [1.8K]3 years ago
3 0
\bf ~~~~~~~~~~~~\textit{middle point of 2 points }
\\\\
(\stackrel{x_1}{-4}~,~\stackrel{y_1}{2})\qquad 
(\stackrel{x_2}{2}~,~\stackrel{y_2}{-2})
\qquad
%   coordinates of midpoint 
\left(\cfrac{ x_2 +  x_1}{2}~~~ ,~~~ \cfrac{ y_2 +  y_1}{2} \right)
\\\\\\
\left( \cfrac{2-4}{2}~~,~~\cfrac{-2+2}{2} \right)\implies \left( \cfrac{-2}{2}~~,~~\cfrac{0}{2} \right)\implies (-1~,~0)
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Noam walks home from school by walking 8 blocks north and then 6 blocks east. How
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Answer:

4 blocks shorter.

Step-by-step explanation:

Noam walks home from school by walking 8 blocks north and then 6 blocks east.

If Noam walks 8 blocks from School at A towards north to the point B and then from B towards east by 6 blocks to reach home at C, then Δ ABC will form a right triangle whose sides with 90° are AB = 8 blocks and BC = 6 blocks and AC is the hypotenuse which is given by

AC² = AB² + BC² = 8² + 6² = 100

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So, total distance that Noam travels is (8 + 6) = 14 blocks.

And if he walks along AC, then the distance will be 10 blocks which is (14 - 10 ) = 4 blocks shorter than his actual path. (Answer)

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