Gandalf the Grey started in the Forest of Mirkwood at the point (-2, 0) and arrived in the Iron Hills at the point (-1, 4). If he began walking in the direction of the vector v=3i+1jv=3i+1j and made one right angled turn, what are the coordinates of the point where he changed direction?

an advantage of the standard deviation is that it increases as the dispersion of the data increases. e. the interquartile range is preferred when the data are not skewed or no have outliers. an advantage of the standard deviation is that it uses all the observations in its computation.

1/8 3/16 3/4

step-by-step explanation:

you put them as all the same denominator and multiply

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: