Tasha assembled a picture frame that is advertised as rectangular. the completed frame is 14 inches long and 10 inches wide. she measured the diagonal length across the frame as 20 inches. which best explains why the frame cannot actually be rectangular?

the diagonal of a rectangle is square root of (w^2 +l^2)

so square root of (14^2 +10^2) = 17.2 inches

since 20" is longer than 17.2 it can't be a rectangle

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below:

don't report but were is the digram

step-by-step explanation: