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Alex
3 years ago
11

What is the length of the line segment with endpoints (7,-1) and (-3,5)?

Mathematics
1 answer:
Galina-37 [17]3 years ago
8 0

Formula to find the length of two endpoints: \sqrt{(x^2-x^1)^2+(y^2-y^1)^2}

Now, solve with the given endpoints.

\sqrt{(x^2-x^1)^2+(y^2-y^1)^2} \\\sqrt{(-3-7)^2+(5-(-1))^2} \\\sqrt{(-10)^2 + (6)^2} \\ \sqrt{100+36}\\\sqrt{136}

_______

Now, simplify using what we know about radicals.

Solution in picture.

_______

The length between the endpoints is 2√34 (Option B)

_______

Best Regards,

Wolfyy :)

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