If ΔABC is dilated from point A by a scale factor of one half which of the following equations is true about segment D prime E prime? Triangle ABC is shown with point D lying on side BC and point E lying on side AC. Line DE is perpendicular to side AC.

segment D prime E prime = one half segment DE
segment D prime E prime = two segment DE
segment D prime E prime = segment DE
segment D prime E prime = three segment DE

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:

answer: 2 and 1

step-by-step explanation: got this question

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