Use the diagram to find the value of x and y​

x = 6

y = 15

Step-by-step explanation:

We can find the value for x and y using similarity ratio

8/12 = 10/y cross multiply expressions

8y = 120 divide both sides by 8

y = 15

12/(x+12) = 10/15

180 = 10x + 120 subtract 120 from both sides

60 = 10x divide both sides by 10

6 = x

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: