The point (0,5) lies on a circle that is centered at the
origin. Does (-3, 4) also lie on the circle?
1. Identify the radius from the graph.
r= units
2. Determine the distance from the center to
(-3,-4) using the distance formula.
distance = units
3. Compare the radius to the distance. Does the
point (-3,-4) also lie on the circle?

what's the question?

step-by-step explanation:

there is no question.

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4