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  • 06-04-2020
  • Mathematics
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The High School is at (-5,3). Claudia’s house is at (10,-6). What is the shortest distance between them?

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chemistryfan63
chemistryfan63 chemistryfan63
  • 15-06-2021

Answer:

17.5

Step-by-step explanation:

Use the distance formula, which is just an application of the pythagoreon theorem: [tex]d=\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}[/tex]

where (x1,y1) and (x2,y2) are coordinates.

Plug in the numbers:

[tex]d=\sqrt{\left(10-\left(-5\right)\right)^2+\left(\left(-6\right)-3\right)^2}[/tex]

[tex]d=3\sqrt{34}[/tex] = 17.5

Hope this helps.

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