Question

The robot is moving from origin (base) as per the following log:



Find the final x- and y-coordinates of the robot?

• A. x = 3/4 , y = 5/7
• B. x = 19/20 , y =5/7
• C. x = 3/4 , y = 2/3
• D. x = 19/20 , y = 2/3

Answer 1

The correct option is B x = 19/20 , y =5/7

First, let's use commutative and associative properties respectively to group the numbers with the same denominator together.

So,
Final x-coordinate
= $\frac{2}{5}$ + $\frac{3}{4}$ + (-$\frac{1}{5}$)
= {$\frac{2}{5}$ + (-$\frac{1}{5}$)} + $\frac{3}{4}$
= $\frac{1}{5}$ + $\frac{3}{4}$
= $\frac{15+4}{20}$
= $\frac{19}{20}$

Similarly,
Final y-coordinate
= $\frac{2}{3}$ + $\frac{5}{7}$ + (-$\frac{2}{3}$ )
= {$\frac{2}{3}$ + (-$\frac{2}{3}$ )} + $\frac{5}{7}$
= 0 + $\frac{5}{7}$
= $\frac{5}{7}$

Therefore, option (b) is the correct answer.