Question

if the point (2/3,y) on a unit circle what is y?
a) 2/3
b)1/3
c)√5/3
d)4/9

please help!!!!!!

Answer 1

please help me i can not get it wrong

Answer 2

y is going to be the height of that triangle. ANd you notice you have a right-angled triangle, so you can use the Pythagorean theorem

Answer 3

I drew 1 for the hypothenuse since you have a unit circle, and the radius in a unit circle is 1

Answer 4

so\[\frac{ 2 }{ 3 } ^{2}\] + \[y ^{2}\] = 1^2

Answer 5

um yes, just to be sure write it as \(\large \left( \frac{2}{3}\right)^2\)
All you have to do then is solve for \(y\) :)

Answer 6

so d

Answer 7

not quite

Answer 8

\[\left( \frac{2}{3}\right)^2+y^2=1^2\\
\frac{4}{9}+y^2 = 1\\
y^2=1-\frac{4}{9}=\frac{5}{9} \]

Answer 9

then square root both sides to find y