A circle's center is (0, 1) and the point (1,4) lies on the circle. Does the point (-1,-4) lie on the circle? A. Yes, because (-1, -4) is 10 units away from the center.
OB. Yes, because (-1,-4) is 26 units away from the center.
O C. No, because (-1, -4) is V10 units away from the center.
O D. No, because (-1,-4) is 26 units away from the center.

x = 12

y = 15

step-by-step explanation:

step-by-step explanation:

answers available in this download

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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