A card game is on sale for 10 percent off if the sale price is $18 what is the regular price of the card game
2 answers:
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Answer:
(7, 19)
Step-by-step explanation:
We know that we are talking about circle C, which means that the center is point C. Since the diameter is AB, that means that AB goes through the center C and that center C is the midpoint of the segment AB.
Say the coordinates of B are (x, y). We can use the Midpoint Theorem to figure out B. The Midpoint Theorem states that for two points and
, the coordinates of the midpoint are:
.
Here, our two points are A(5, 1) and B(x, y). Then, the midpoint is: . We already know the midpoint is C(6, 10), so we can just set 6 equal to
and set 10 equal to
:
6 = ⇒ 12 = 5 + x ⇒ x = 12 - 5 = 7
AND
10 = ⇒ 20 = 1 + y ⇒ y = 20 - 1 = 19
So, the coordinates of B is: (7, 19).
Hope this helps!