The length of an australian flag is twice its width and the diagonal length is 45cm.
a. if x cm is the width of the flag, find the length in terms of x.
b. draw a diagram of the flag marking in the diagonal. mark the length and the width in terms of x.
c. use pythagoras’ theorem to write an equation relating the lengths of the sides to the length of the diagonal.
d. solve the equation to find the dimensions of the australian flag. around your answer to the nearest cm.

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:

x=30

step-by-step explanation:

if a = 1,   and b = 2, then the answer is 47.99999999. if you round that to the nearest whole number, the answer is 48.

answer:   rotate 270° clockwise about (7, 1) and reflect across the line x = 7

step-by-step explanation:

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