Find all points on the y-axis that are a distance 6 from p(4, 7).

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02-01-2018
Mathematics

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Find all points on the y-axis that are a distance 6 from p(4, 7).

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Hosein Hosein · Answer 1 · 2018-01-02T10:17:49+01:00

Hosein Hosein

02-01-2018

[tex] \sqrt{16 + {(7 - y)}^{2} } = 6 \\ 16 + {(7 - y)}^{2} = 36 \\ {(7 - y)}^{2} = 20[/tex]
[tex]7 - y = \sqrt{20} > > y = 7 - \sqrt{20} \\ 7 - y = - \sqrt{20} > > y = 7 + \sqrt{20} [/tex]

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