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Lerok [7]
3 years ago
9

Find the distance between the points (-9,0) and (2,5)

Mathematics
1 answer:
andreev551 [17]3 years ago
7 0

Answer:

sqrt(146)

Step-by-step explanation:

The distance between these two points can be the hypotenuse of our right triangle.

We can create a right triangle with two legs of length 11 and 5. To solve for the hypotenuse, we apply the pythagorean theorem

sqrt(5^2+11^2)=sqrt(146)

I attached a graph to help you visualize the triangle and how it works.

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2 years ago
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Work Shown:

(x-5)^2+2=11\\\\(x-5)^2=11-2\\\\(x-5)^2=9\\\\x-5=\pm\sqrt{9}\\\\x-5=\pm3\\\\x=5\pm3\\\\x=5+3 \text{ or } x = 5-3\\\\x=8 \text{ or } x = 2\\\\

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