For each function, state whether it is linear, quadratic, or exponential.

Step-by-step explanation:

Table for function 1,

         x                      y              Difference 1          Difference 2        

         2                    10                      -                             -

         3                     1                 1 - 10 = -9                     -

         4                    10                10 - 1 = 9                9 - (-9) = 18

         5                    37               37 - 10 = 27            27 - 9 = 18

         6                    82               82 - 37 = 45          45 - 27 = 18

Since, difference 2 is common as 18,

Table will represent a quadratic function.

Table for function 2,

        x                    y               Difference 1            Difference 2

        5                    16                       -                               -

        6                    19              19 - 16 = 3                        -

        7                    28             28 - 19 = 9                  9 - 3 = 6

        8                    43             43 - 28 = 15              15 - 9 = 6

        9                    64             64 - 43 = 21              21 - 15 = 6

Since, difference 2 is common as 6,

Table will represent a quadratic function.

Table for function 3,

        x                    y                   Ratio

        1                   112                     -

        2                  56               56 ÷ 112 =  

        3                  28               28 ÷ 56 =

        4                   14               14 ÷ 28 =

        5                    7                7 ÷ 14 =

Since, ratio is common as .

Table will represent an exponential function.

d) by the cross product property, ab^2 = bc multiplied by ad

step-by-step explanation:

we are given

in the given triangle abc

angle a is 90° and segment ad is perpendicular to segment bc

we can see that

triangle(abc) and triangle(abd) are similar because they have common side and same angle (90 degree)

so, triangles(abc) and abd are similar

since, they are similar

so, the ratio of their sides must be equal

we get

now, we can cross multiply

and we get

so, this could be step to prove it

hi! i think the answer is 1/2 : )