Solve for x. 2003-05-04-00-00_files/i0060000.jpg

1 answer:

8 0

Given the equation: (km / 3) - 2x = 4, it is essential to isolate x to obtain the expression to solve it. This is done below:

(km / 3) - 2x = 4

Adding 2x to both sides:

(km / 3) - 2x + 2x = 4 + 2x
(km / 3) = 4 + 2x

Subtracting 4 from both sides:

(km / 3) - 4 = 4 + 2x - 4
(km / 3) - 4 = 2x

Dividing 2 from both sides:

[(km / 3) - 4] /2 = 2x /2
[(km / 3) - 4] /2 = x
x = (km / 6) - 2

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$A'= (2,-1)$ and $R'=(4,-2)$ under this translation.

Step-by-step explanation:

A translation in $R^{2}$ is a mapping T from $R^{2}$ to $R^{2}$ defined by $T(x,y) = (x + v_1,y+v_2)$ , where $v=(v_1,v_2)$ is a fixed vector in $R^{2}$ .

From the problem we know that $T(2,4)=(3,2)$ , so we need to find the values $v_1$ and $v_2$ such that $T(2,4) = (2 + v_1,4+v_2)=(3,2)$ , so $3=2 + v_1$ and $4+v_2=2$ , thus $v_1=1$ and $v_2=2$ .