Question

An underwater drone is located 9 3/5meters below sea level. The drone is moved to a location that is 15 1/2 meters below sea level.


Which measure best describes the change in the location of the drone?


26 1 /10 m

6 9/10 m

−6 9/10 m

−26 1/ 10 m


10 POINTS HELP ME

Answer 1

The change in location is an illustration of absolute difference

The change in location is: $\mathbf{ 6\frac{9}{10}}$

The given parameters are:

$\mathbf{Location = -9\frac 35 m}$

$\mathbf{New= -15\frac 12 m}$

The change in location is calculated using the following absolute difference:

$\mathbf{Change = |New - Location|}$

So, we have:

$\mathbf{Change = |-15\frac 12 - -9\frac 35| -1}$

$\mathbf{Change = |-15\frac 12 +9\frac 35| - 1}$

Express as mixed numbers

$\mathbf{Change = |-\frac{31}2 +\frac{48}5 - 1|}$

Take LCM

$\mathbf{Change = |\frac{-155 + 96}{10}|}$

$\mathbf{Change = |\frac{-59}{10} -1|}$

Express as improper fraction

$\mathbf{Change = |-5\frac{9}{10} - 1|}$

Remove absolute sign

$\mathbf{Change = 5\frac{9}{10} + 1}$

$\mathbf{Change = 6\frac{9}{10} }$

Hence, the change in location is: $\mathbf{ 6\frac{9}{10}}$

Read more about absolute difference at:

https://brainly.com/question/733174