Triangle xyz is shown on the coordinate plane below: triangle xyz on the coordinate plane with ordered pairs at x 3, negative 1, at y 4, negative 4, at z 1, negative 2 if triangle xyz is reflected across the line y = 1 to create triangle x'y'z', what is the ordered pair of x'?

The ordered pair of is  

Explanation

According to the below diagram, the co ordinates of are:   and

The triangle is reflected across the line    to create triangle

Distance of the point from the line    is  2 units.

So, the point    will be also 2 units above the line  . As the triangle is reflected across a horizontal line, so the co-ordinate of the point will remain same.

co-ordinate of the point will be:  

So, the ordered pair of is  

  b.   the average rate of change of f(x) is less than the average rate of change of g(x).

step-by-step explanation:

since the length of the interval is the same in each case, we only need to compare the change in y-value to see which is greater.

so the change in y-value for function f is (6 )) = 9.

the table tells us

so the change in y-value for function g is (31 -1) = 30.

the change in y-value of f(x) on the interval is less than the change in y-value of g(x) on the same interval, so the average rate of change of f(x) is less than the average rate of change of g(x).

54

step-by-step explanation: