Point a has an x-coordinate of 7 and lies below the x-axis on a circle with a center at (0, 0) and a radius of 8. to the nearest tenth, what is the y-coordinate for point a? −4.0 −3.9 −3.8 −3.7

the formula of a circle is: x2 + y2 = r2

substituting known values in the formula: x=7 and r=8

72 + y2 = 82

calculating for value of y:

y2=64-49

y=±√15

y=±3.9

since point A lies below the x-axis then

y=-3.9

Answer-

The y-coordinate for point is -3.9

Solution-

Point A has an x-coordinate of 7 and lies below the x-axis (i.e -ve y-coordinate)

Let us assume, the coordinates of the point is (7, y)

The general equation for circle with centre at (h, k) and radius r, is

As here the centre is origin (0, 0) and radius 8, so equation of the circle is

As point A lies on the circle, so it must satisfy the circle equation, so

As the point lies under x axis, so considering only -ve value,

last one.

step-by-step explanation:

last one.

generally speaking, the others follow some sort of pattern that correlates to either linear (looks like a straight line) or sinusoidal (looks like an s).

the last one is just a random cloud of points that doesn't correlate to any particular known order.