The graph below shows the lines f(x)=1.1x+2.2 and g(x)=1.9x-0.75
. One combination of input and output values will satisfy both functions. How do you know this? Use the graph to estimate this combination of values. Then create a table of values for each function and use it to justify your answer.

In the figure attached, the lines are shown.

There is a combination of input and output that satisfy both functions  because both lines share a common point, that is, at that point values of f(x) and g(x) are equal. This point is (3.688, 6.256)

Table of values:

x             f(x)                                        g(x)

0             1.1(0)+2.2 = 2.2                    1.9(0)-0.75 = -0.75

1              1.1(1)+2.2 = 3.3                      1.9(1)-0.75 = 1.15

2             1.1(2)+2.2 = 4.4                     1.9(2)-0.75 = 3.05

3             1.1(3)+2.2 = 5.5                     1.9(3)-0.75 = 4.95

3.688     1.1(3.688)+2.2 = 6.256         1.9(3.688)-0.75 = 6.256

4             1.1(4)+2.2 = 6.6                     1.9(4)-0.75 = 6.85

18

step-by-step explanation:

draw the shape and you will see that f and k are actually at adjacent vertices (points of the hexagon that are neighboring).   so find the distance between (1,2) and (4,2).   that is easy since (1,2) and (4,2) is just a vertical distance to count, which is 3.   it is a regular polygon which means all sides are congruent.   you have 6 sides (hexa) so multiply 6 by 3 to receive 18.

the sum of the lengths of any two sides of a triangle is greater than the length of the third side. if you take the three sides of a triangle and add them in pairs, the sum is greater than (not equal to) the third side. if that is not true, then it is not possible to construct a triangle with the given side lengths.

step-by-step explanation: