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Maths-

General

Easy

Question

Find the length of the segment. Round to the nearest tenth of a unit. 𝐴 ≡ (3,5), 𝐵 ≡ (−2,3)

hint Hint:

Distance between two points having coordinates (x1, y1) and (x2, y2) is given by formula:
Distance = $square root of open parentheses x subscript 2 minus x subscript 1 close parentheses squared plus open parentheses y subscript 2 minus y subscript 1 close parentheses squared end root$

The correct answer is: 5.38 units.

Step by step explanation:

○        Given:
Points A (3,5) and B (-2,3).
○        Step 1:
○        Find distance:
○     Distance = $square root of open parentheses x subscript 2 minus x subscript 1 close parentheses squared plus open parentheses y subscript 2 minus y subscript 1 close parentheses squared end root$
Distance = $square root of left parenthesis negative 2 minus 3 right parenthesis squared plus left parenthesis 3 minus 5 right parenthesis squared end root$
$rightwards double arrow$ Distance = $square root of left parenthesis negative 5 right parenthesis squared plus left parenthesis negative 2 right parenthesis squared end root$
$rightwards double arrow$ Distance = $square root of 25 plus 4 end root$
$rightwards double arrow$ Distance = $square root of 29$
$rightwards double arrow$ Distance = 5.38 units
●       Final Answer:
Hence, the distance between points is 5.38 units.

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