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Mathematics 16 Online
OpenStudy (anonymous):

HELP ME PLEASE ! Which of the following could be points on the unit circle?

OpenStudy (anonymous):

OpenStudy (anonymous):

The equation for the unit circle is: \[x^2 + y^2 = 1\]Go through each answer choice and plug the coordinates in to this equation. If it is true, the point works.

OpenStudy (anonymous):

@vinnv226 They are all decimals ?

OpenStudy (zzr0ck3r):

do you know how to find the magnitude of the points?

OpenStudy (anonymous):

@zzr0ck3r No i don't :(

OpenStudy (zzr0ck3r):

you need \[\sqrt{x^2+y^2}=1\]

OpenStudy (zzr0ck3r):

so find the one that matches that

OpenStudy (zzr0ck3r):

do you understand?

OpenStudy (anonymous):

@zzr0ck3r Its A for sure but idk if B or C can also be it

OpenStudy (zzr0ck3r):

this is just the distance from the point to the origin, we need that distance to be 1 because unit circle has radius 1 distance is given bu \[\sqrt{(x-x_0)^2+(y-y_0)^2}\] but x_0 and y_0 are both 0 so we have \[\sqrt{x^2+y^2}\] so you have points that look like (x,y) just plug those into that formula and see if it equals 1

OpenStudy (zzr0ck3r):

A is wrong

OpenStudy (anonymous):

Really I did it with the calculator

OpenStudy (anonymous):

So then is it B and D ?

OpenStudy (zzr0ck3r):

do the math

OpenStudy (zzr0ck3r):

err I did that wrong but its not A

OpenStudy (zzr0ck3r):

with a you get\[\sqrt{\frac{4}{9}}=\frac{2}{3}\]

OpenStudy (anonymous):

I know A is wrong now but i think B and D are correct am I right

OpenStudy (zzr0ck3r):

show me....

OpenStudy (zzr0ck3r):

\[\sqrt{(\frac{4}{3})^2+(\frac{4}{5})^2}=1?\]

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