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Mathematics

Grade9

Easy

Question

Find the length of a line with endpoints at (1, 6) and (9, 9)?

$\sqrt{91}$
4.5
8.13
$\sqrt{73}$

hint Hint:

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

The correct answer is: $square root of 73$

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

The length of a line with endpoints at (1, 6) and (9, 9) = $square root of left parenthesis 9 minus 1 right parenthesis to the power of 2 end exponent plus blank left parenthesis 9 minus 6 right parenthesis to the power of 2 end exponent end root$
= $square root of 8 to the power of 2 end exponent plus blank 3 to the power of 2 end exponent end root$
= $square root of 64 plus 9 end root$
= $square root of 73$
Therefore, The length of a line with endpoints at (1, 6) and (9, 9) is $square root of 73$ .

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