To the nearest cubic centimeter, what is the volume of the regular hexagonal prism
1 answer:
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ANSWER
See explanation
EXPLANATION
The standard form of a quadratic equation is:
To convert this function to standard form, you follow the steps below:
- Factor 'a' from the variable terms
- Add and subtract the square of half the coefficient of x.
- Factor the perfect squares
- Simplify the constant terms to get the vertex form as
For example:
Given the standard form:
Factor 2 from the variable terms
Add and subtract the square of 3.
Factor the perfect square an simplify
This is the vertex form
Answer:
24 kilometers.
Step-by-step explanation:
The shortest path between two points is a straight segment that connects the two points.
Refer to the diagram attached. The 6-km segment and the 8-km segment are normal to each other. Together with the segment that joins the library and the house, the three segments now form a right triangle.
- The two shorter segments are the two legs, and
- The longer segment that joins the library and the house is the hypotenuse.
The length of the hypotenuse can be found with the Pythagorean Theorem.
.
The length of the round-trip will equal to the sum of the length of the three segments: .
