The recycling club has a goal to recycle 2,000 pounds of newspaper this year. They have already recycled 1,585 pounds. How many
1 answer:
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When you represent intervals on the number line, you're including full dots, excluding empty dots, and you're considering numbers highlighted by the line.
In the first case, you've highlighted everything before -2 (full dot, thus included), and everything after 1 (empty dot, excluded). So, the set would be
or, in interval notation,
In the second case, you are looking for all numbers between -3 and 5. This interval is symmetric with respect to 1: you're considering all numbers that are at most 4 units away from 1, both to the left and to the right.
This means that the difference between your numbers at 1 must be at most 4, which is modelled by
where the absolute values guarantees that you'll pick numbers to the left and to the right of 1.
Answer:
8√13 units
Step-by-step explanation:
We use the distance formula.
The distance formula states that the distance between two points (x, y) and (a, b) is equal to:
d =
Here, x = 6, y = -1, a = -18, and b = 15. Plug these in:
d =
d = = 8√13
The answer is thus 8√13 units.
<em>~ an aesthetics lover</em>