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Mathematics

Grade9

Easy

Question

A line segment has endpoints at (2, 3) and (− 7, 3). Find the distance of this segment?

9
4.5
81
5

hint Hint:

If there are two points and ,then distance between two points is

The correct answer is: 9

Using distance formula,
Distance = $square root of open parentheses x subscript 2 end subscript minus x subscript 1 end subscript close parentheses to the power of 2 end exponent plus blank open parentheses y subscript 2 end subscript minus y subscript 1 end subscript close parentheses to the power of 2 end exponent end root$
Length of line segment has endpoints at (2, 3) and (− 7, 3) = $square root of left parenthesis negative 7 minus 2 right parenthesis to the power of 2 end exponent plus blank left parenthesis 3 minus 3 right parenthesis to the power of 2 end exponent end root$
= $square root of negative 9 to the power of 2 end exponent plus blank 0 to the power of 2 end exponent end root$
= $square root of 81 plus 0 end root$
= $square root of 81$
= 9
Therefore, Length of line segment has endpoints at (2, 3) and (− 7, 3) is 9.

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