a A gallery is using glass display cases to display artifacts. They need to cover each display case with a sheet of clear protec
tive film to protect the glass on every side. This net represents a single display case. in. How much film is needed to cover each display case? . Enter your answer in the box. 
2 answers:
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Answer:
Approximately 12.04 units.
Step-by-step explanation:
The find the distance between any two points, we can use the distance formula, which is:
We have the points (2,7) and (-6,-2). Let's let (2,7) be (x₁, y₁) and let's let (-6, -2) be (x₂, y₂). Substitute:
Subtract:
Square:
Add:
Approximate
So, the distance between (2,7) and (-6,-2) is approximately 12.04 units.
And we're done!
Answer:
Step-by-step explanation:
When converting mixed numbers (such as the one above), to improper fractions, we must first multiply the whole number by the denominator:
Then, add the numerator the the product:
Now, put the sum over the denominator to get your solution:
-
To check your work, you can convert the improper fraction to a mixed number to make sure you will end up with .
Divide into
:
with a remainder of
Put the remainder over the denominator:
Therefore, our solution is correct!