I need to now about math and chemistry and sociol studies and english

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Chemistry is sceince it teaches you about chemicals and chemical reactions, math helps u with like dividing lik 2+2=4 that is an example of math, scial studies teaches you all about the past and the history, and english is ELA english language arts, its a reading class.

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Can you help with this please.

andrew-mc [135]

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Given - two points P ( 5 , 10 ) and R ( 12 , 14 ) on the cartesian plane

To find - distance between the two points

Using the distance formula ~

$\qquad\underline{d(PR) = \sqrt{( x_{2} - x_{1}) {}^{2} + ( y_{2} - y_{1}) {}^{2} }} \\ \\$

we have ,

$\longrightarrow x_{1} = 5 \\ \longrightarrow x_{2} = 12 \\ \\ \longrightarrow \: y_{1} = 10 \\ \longrightarrow \: y_{2} = 14$

substituting the values in the formula , we get

$d(PR) = \sqrt{(12-5) {}^{2} + (14-10) {}^{2} } \\ \\ \implies \: d(PR) = \sqrt{(7) {}^{2} + ( 4) {}^{2} } \\ \\ \implies \: d(PR) = \sqrt{49 + 16} \\ \\ \implies \: d(PR) = \sqrt{65} \\ \\ \implies \: d(PR) = 8.1 \: units \: (approx)$