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Lilit [14]
3 years ago
5

Use absolute value to express the distance between 8 and -5

Mathematics
1 answer:
tankabanditka [31]3 years ago
6 0

Answer:

The distance between points 8 and -5 is 13

Step-by-step explanation:

We need to find distance between points 8 and -5

The formula used to find the distance is: Distance=|b-a|

Absolute value is used to get only positive values. i.e |-1|=1 if required.

We are given: b=8 and a=-5

Putting values and finding distance

Distance=|b-a|\\Distance=|8-(-5)|\\Distance=|8+5|\\Dstance=|13|\\Distance=13

So, the distance between points 8 and -5 is 13

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We're about ready to set up an expression using those variables, but first, we should address a subtlety: the question provides us with the drainage rate in liters per second. We want the answer expressed in liters per minute, so we'll have to make that conversion beforehand. Since one second is 1/60 of a minute, a drainage rate of 400 L/s becomes 400 · 60 = 24,000 L/min.

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Solving for V:

About units: all of our measurements for the cone-shaped tank have been provided for us in meters, which means that our calculations will produce a value for the volume in cubic meters. This is a problem, since our drainage rate is given to us in liters per second. To account for this, we should find the conversion rate between cubic meters and liters so we can use it to convert at the end.

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