Find the distance between points M (6,16) and Z (-1,14) to the nearest tenth, please help step by step

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08-10-2015
Mathematics

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Find the distance between points M (6,16) and Z (-1,14) to the nearest tenth, please help step by step

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eco92 eco92 · Answer 1 · 2017-10-02T10:24:47+02:00

eco92 eco92

02-10-2017

The distance between 2 points P(a, b) and Q(c,d) is given by the formula:

[tex]\displaystyle{d= \sqrt{(b-d)^2+(a-c)^2} [/tex],

Apply the formula for the points M(6, 16) and Z(-1, 14):

[tex]\displaystyle{d= \sqrt{(16-14)^2+(6-(-1))^2}= \sqrt{2^2+7^2}= \sqrt{4+49}= \sqrt{53}\approx 7.28 [/tex]

which rounded to the nearest tenth is 7.3 (units)

Answer: 7.3 units

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