What is the algebraic rule for a figure that is translated 6 units to the left and 8 units up

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Ответ:

Csmalls4412

09.05.2023

Mathematics

It is $11\frac{9}{10}$ miles far from Chester to Durbin.

Step-by-step explanation:

Given:

Its 10 3/5 miles from Alston to Barton and 12 1/2 miles from Barton to Chester. The distance from Alston to Durbin, via barton and Chester, is 35 miles.

Now, to find the distance from Chester to durbin.

Distance from Alston to Barton = $10\frac{3}{5} =\frac{53}{5} \ miles.$

Distance from Barton to Chester = $12\frac{1}{2}\ miles =\frac{25}{2} \ miles.$

As, given the distance from Alston to Durbin, via barton and Chester, is 35 miles.

Thus, the total distance = 35 miles.

So, we add the distance of Alston to Barton and Barton to Chester and get the distance from Alston to Chester:

$\frac{53}{5} +\frac{25}{2}$

$=\frac{106+125}{10}$

$=\frac{231}{10} \ miles.$

Distance from Alston to Chester $=\frac{231}{10} \ miles.$

Now, to get the distance from Chester to durbin we subtract distance from Alston to Chester from the total distance:

$35-\frac{231}{10} \\\\=\frac{350-231}{10} \\\\=\frac{119}{10} \\\\=11\frac{9}{10}\ miles.$

Therefore, it is $11\frac{9}{10}$ miles far from Chester to Durbin.

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