Find the length indicated. Find BD

BE = 3x - 1

BC = BD - CD = 2x - 4 - 2

DE = CE - CD = 2x - 3 - 2

BC + CD + DE = BE

( 2x - 4 - 2 ) + 2 + ( 2x - 3 - 2 ) = 3x - 1

2x - 6 + 2 + 2x - 5 = 3x - 1

2x + 2x - 5 - 6 + 2 = 3x - 1

4x - 11 + 2 = 3x - 1

4x - 9 = 3x - 1

Add both sides 9

4x - 9 + 9 = 3x - 1 + 9

4x = 3x + 8

Subtract both sides 3x

4x - 3x = 3x - 3x + 8

x = 8

BD = 2x - 4

BD = 2(8 ) - 4

BD = 16 - 4

BD = 12

And we're done...

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:

i think is g(1)=-1.

hope that i can