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