What is the length of segment TR with T(-4,5) and R(2, -1)

The length of segment TR with T(-4,5) and R(2, -1) is 8.49

Step-by-step explanation:

We need to find the length of segment TR with T(-4,5) and R(2, -1)

The length of segment can be found using distance formula.

The distance formula is:

Putting values and finding length

We have:

We found Distance = 8.49

So, The length of segment TR with T(-4,5) and R(2, -1) is 8.49.

  y= -3x is the required function.

step-by-step explanation:

we have been given a table:

x             y

0             0

1             -3

3             -9

-2             6

we can see that the values of y is -3 times the value of x

hence, the function would be: y= -3x.

put the values of x will give the same y as in the table that means function is satisfying the given table.

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: