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Answer:
Step-by-step explanation:
Method #1
We can draw a <em>right triangle</em> on the graph upon where the points are located and use the Pythagorean Theorem:
* Whenever we talk about distance, we ONLY want the NON-NEGATIVE root.
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Method #2
Or, we can use the Distance Formula:
[2, 7] [3, −3]
** You see? It does not matter which method you choose, as long as you are doing the work correctly.
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So, the container was 2/5 full
someone came over and dumped a bucket of water in it with 8 gallons
and the container went UP to 2/3 full
so, 8 gallons, and the container goes up by some fraction,
whatever that is
bear in mind that, 2/3 is over 1/2, and 2/5 is less than 1/2
so, 2/3 is really more than 2/5
so... whatever 8 gallons is in fraction of the container,
is the difference of 2/3 and 2/5
so.. let's say the container when full holds "x" amount of gallons
2/5 of x is... well, 2x/5
and 2/3 of x is well, 2x/3
so... we could say that
solve for "x", since "x" is how many gallons, the container holds when full
someone came over and dumped a bucket of water in it with 8 gallons
and the container went UP to 2/3 full
so, 8 gallons, and the container goes up by some fraction,
whatever that is
bear in mind that, 2/3 is over 1/2, and 2/5 is less than 1/2
so, 2/3 is really more than 2/5
so... whatever 8 gallons is in fraction of the container,
is the difference of 2/3 and 2/5
so.. let's say the container when full holds "x" amount of gallons
2/5 of x is... well, 2x/5
and 2/3 of x is well, 2x/3
so... we could say that
solve for "x", since "x" is how many gallons, the container holds when full