Question

Need math help please. Match the y-coordinates with their corresponding pairs of x-coordinates on the unit circle.

Answer 1

Answer:

No. 1 of tiles goes to No. 3 of pairs

No. 2 of tiles goes to No. 4 of pairs

No. 3 of tiles goes to No. 2 of pairs

No. 4 of tiles goes to No. 1 of pairs

Step-by-step explanation:

We are given the y co-ordinates in the box named 'TILES' and have to match the corresponding x co-ordinates from the box named "PAIRS' such that they satisfy the unit circle.

i.e. the pair (x,y) satisfies $x^{2} +y^{2} =1$.

Now, we substitute the values of 'x' and 'y' provided in 'TILES' and 'PAIRS' correspondingly in the above equation of the unit circle.

We get that, the following co-ordinates form the pairs for the unit circle.

i.e. x = ±$\frac{2\sqrt{10} }{11}$ and y = $\frac{9}{11}$

x = ±$\frac{4\sqrt{6} }{11}$ and y = $\frac{5}{11}$

x = ±$\frac{1}{\sqrt{11}}$ and y = $\frac{\sqrt{110}}{11}$

x = ±$\frac{6\sqrt{2}}{11}$ and y = $\frac{7}{11}$