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Nikolay [14]
2 years ago
12

Find the distance between the points (-1,-5) and (-10,7).

Mathematics
1 answer:
Paladinen [302]2 years ago
5 0

Answer:

15 units

Step-by-step explanation:

Calculate the distance d using the distance formula

d = \sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2    }

with (x₁, y₁ ) = (- 1, - 5) and (x₂, y₂ ) = (- 10, 7)

d = \sqrt{(-10+1)^2+(7+5)^2}

   = \sqrt{(-9)^2+12^2}

    = \sqrt{81+144}

    = \sqrt{225}

    = 15 units

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<h2>Answer:</h2>

<u>Distance = 360.55 m</u>

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<h2>Step-by-step explanation:</h2>

In the question,

The adventurous dog starts from O, say.

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OE is given by,

In triangle OLE, using Pythagoras theorem,

OE^{2}=OL^{2}+LE^{2}\\OE^{2}=(200)^{2}+(300)^{2}\\OE^{2}=40000+90000\\OE=360.55\,m

<em><u>Therefore, the distance of Dog from the Home is 360.55 m and the direction of Dog from Home is North-East.</u></em>

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