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Mariana [72]
2 years ago
11

What is the length of the line segment whose endpoints are A(-1,9) and B(7,4) in the simplest radical form?

Mathematics
2 answers:
monitta2 years ago
8 0

length : \sf \sqrt{89}

Explanation:

use the distance formula : \sf \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

  • using the formula:

\sf \rightarrow \sf \sf \sqrt{(7--1)^2+(4-9)^2}

\sf \rightarrow \sf \sf \sqrt{(8)^2+(-5)^2}

\sf \rightarrow \sf \sf \sqrt{64+25}

\sf \rightarrow \sf \sf \sqrt{89}

geniusboy [140]2 years ago
8 0

Answer:

\sf \sqrt{89}

Step-by-step explanation:

Let A = \sf (x_1,y_1) = (-1, 9)

Let B = \sf (x_2,y_2) = (7, 4)

Distance formula:

\sf d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Input values into the distance formula and solve for d:

\sf \implies d=\sqrt{(7-(-1))^2+(4-9)^2}

\sf \implies d=\sqrt{8^2+(-5)^2}

\sf \implies d=\sqrt{64+25}

\sf \implies d=\sqrt{89}

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