AA, BBB, and CCC are collinear, and BBB is between AAA and CCC. The ratio of ABABA, B to ACACA, C is 1:31:31, colon, 3. If AAA is at (-2,-3)(−2,−3)left parenthesis, minus, 2, comma, minus, 3, right parenthesis and BBB is at (-6,-1)(−6,−1)left parenthesis, minus, 6, comma, minus, 1, right parenthesis, what are the coordinates of point CCC?

The co-ordinate of C is (0,-4).

Step-by-step explanation:

Given that , points A, B and C are collinear.

If all points lie in a same line, then the points are called co-linear.

The ratio AB to AC is 1:3.

It means the point A divided the line BC in ratio 1:3 externally.

The co-ordinate of A is (-2,-3) and the co-ordinate of B is (-6,-1).

If  a line joining by two points  (x₁,y₁) and (x₂,y₂) is divided by a point in the ratio m:n externally, then the co-ordinate of the point is

Here x₁= -2,y₁= -3, x₂= -6,y₂= -1 and m=1 and n = 3

The co-ordinate of C is

=(0,-4)

guess at question:

a vertical line intersects the graph of g(x,y) = 0 at two points. what conclusion follows about the function f(x) implicitly defined by g(x,f(x)) = 0?

the domain of f(x) cannot include the x coordinate of any such vertical line.

informally, f(x) is not a function, and

g(x,y)=0 cannot be solved for y uniquely.

the relation r = {(x,y) such that g(x,y) = 0} is a function if

for all (a,b) ∊ r and (c,d) ∊ r, a=c implies b=d.

step-by-step explanation: