Circle C has diameter AB. The coordinates of A are (5,1) and the coordinates of C are (6,10). Find the coordinates of B.

(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!

(7 , 19)

Step-by-step explanation:

Centre is the midpoint of the diameter

C = Midpoint of AB

Let B: (x,y)

(6,10) = (x+5)/2, (y+1)/2

12 = x + 5

x = 7

20 = y + 1

y = 19

x=17

step-by-step explanation:

solve 3x-24=x+10

then that makes it 2x=34 because you subtract an x from both sides to get rid of the one on the right, and then you add 24 to both sides to get rid of the 24 on the left

divide by both sides by 2 to get your answer so that you can get your answer

none cuz there are no "following statements" regarding the question

step-by-step explanation: