​ The point P=(x,1/2 ) lies on the unit circle shown below. What is the value of x x in simplest form?

The answer is below

Step-by-step explanation:

A unit circle is a circle on the coordinate plane with a radius of 1 unit. The unit circle center usually lies on the origin.

The equation of a circle is given as:

(x - h)² + (y - k)² = r²

Where (h, k) is the center of the circle and r is the radius of the circle.

As seen in the diagram attached, the center of the circle is at the origin (0, 0) and the circle is a unit circle with a radius of 1. Hence:

(x - h)² + (y - k)² = r²

(x - 0)² + (y - 0)² = 1²

x² + y² = 1

Given the point P(x, 1/2) lies on the circle. To find x, substitute y = 1/2:

x² + (1/2)² = 1

x² + 1/4 = 1

x² = 1 - 1/4 = 3/4

x² = 3/4

x = √(3/4)

step-by-step explanation:

bob the banana

(1, –1), (16, –4), (36, –6)

step-by-step explanation:

given that the function is

this can also be written as

we have to graph this function and check which list of points lie on the graph

see attachment for graph:

we find that the points lying are (1,-1) (16,-4) and (36,-6)

since square root is there we find that x can only be posiitve but y can be since square root both positive and negative.