In triangle $abc$, $ab = 5$, $bc = 8$, and the length of median $am$ is 4. find $ac$.3

We use the law of Cosines to find b=AC opposite B

We know all the sides of triangle ABM so we can use the law of Cosines, this time to solve for

Substituting,

AC=√39

35x 3= 105

step-by-step explanation:

35+35= 70   70 + 35= 105

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: