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Mathematics 12 Online
OpenStudy (nightmarenight):

What is the distance between (5, 6, 4) and (4, 4, 2)? Round to the nearest tenth of a unit

OpenStudy (bibby):

basically the same as the 2d distance formula http://www.calculatorsoup.com/images/equations/distance-three-coordinates.png

OpenStudy (nightmarenight):

wat

OpenStudy (bibby):

did you never have to find the distance between, say (2,1) and (5,6)?

OpenStudy (bibby):

let's make \((x_2,y_2,z_2)= (5, 6, 4) \\(x_1,y_1,z_1)= (4, 4, 2) \) plug and chug

OpenStudy (nightmarenight):

so you change the x^2, y^2, z^2 for (4,4,2)

OpenStudy (bibby):

hold up time for more color coding

OpenStudy (nightmarenight):

pls dont bib ily

OpenStudy (bibby):

but yeah, just put the green shape into the green hole just like kindergarten ily2

OpenStudy (nightmarenight):

ok I'll write it out

OpenStudy (bibby):

I'll start you off. \(\sqrt{(5-4)^2+(y_2-y_1)^2+(z_2-z_1)^2}\)

OpenStudy (nightmarenight):

wait im confused now

OpenStudy (anonymous):

had to switch to a new browser

OpenStudy (anonymous):

sorry bibby :c

OpenStudy (bibby):

why apologize lol

OpenStudy (anonymous):

it makes sense, I think

OpenStudy (bibby):

it might make more sense if you use an online calculator and look at the finished product and then work backwards

OpenStudy (anonymous):

Oh it's 3? I saw that as an answer somewhere else

OpenStudy (anonymous):

3 isnt an option, ;-;

OpenStudy (bibby):

that is the answer, ye

OpenStudy (bibby):

wtf

OpenStudy (bibby):

I'm going to beat you up if it didn't copy the negatives again

OpenStudy (anonymous):

IM SORRYYYYYYYYYYYYYYYYY

OpenStudy (bibby):

hahahaha

OpenStudy (anonymous):

OpenStudy (bibby):

why do you do this to me

OpenStudy (anonymous):

ILY

OpenStudy (bibby):

\((\color{green}{x_2},\color{cyan}{y_2},\color{red}{z_2})= (\color{green}5, \color{cyan}{-6}, \color{red}{4}) \\(\color{purple}{x_1},\color{blue}{y_1},\color{pink}{z_2})= (\color{purple}4,\color{blue}{-4}, \color{pink}{-2})\\ \large d=\sqrt{(\color{green}{x_2}-\color{purple}{x_1})^2+(\color{cyan}{y_2}-\color{blue}{y_1})^2+(\color{red}{z_2}-\color{pink}{z_2})^2}\) same method, different numbers

OpenStudy (anonymous):

cries

OpenStudy (anonymous):

erases everything

OpenStudy (bibby):

theeere theeere

OpenStudy (anonymous):

i have no idea

OpenStudy (bibby):

|dw:1426049970569:dw| start by evaluating that parentheses, we'll add each piece

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