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Mathematics

Grade9

Easy

Question

Calculate the length of a line with endpoints at (0, 0) and (9, 0)?

5
4
9
3

hint Hint:

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

The correct answer is: 9

Using distance formula,
Distance = $square root of open parentheses x subscript 2 end subscript minus x subscript 1 end subscript close parentheses to the power of 2 end exponent plus blank open parentheses y subscript 2 end subscript minus y subscript 1 end subscript close parentheses to the power of 2 end exponent end root$
The length of a line with endpoints at (0, 0) and (9, 0)= $square root of left parenthesis 9 minus 0 right parenthesis to the power of 2 end exponent plus blank left parenthesis 0 minus 0 right parenthesis to the power of 2 end exponent end root$
= $square root of 9 to the power of 2 end exponent plus blank 0 to the power of 2 end exponent end root$
= $square root of 81 plus 0 end root$
= $square root of 81$
= 9
Therefore, The length of a line with endpoints at (0, 0) and (9, 0) is 9.

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