You would have to determine if<span> the following </span>lengths<span> make an </span>acute<span>, right or </span>obtuse triangle<span>. Plug in each set of </span>lengths<span> into the Pythagorean Theorem.</span>
The average rate of change of <em>g(x)</em> over the interval [2, 8] is given by
(<em>g</em> (8) - <em>g</em> (2)) / (8 - 2)
In other words, it's the slope of the line through the points (2, <em>g</em> (2)) and (8, <em>g</em> (8)).
Use the definition of the function to evaluate it at the points in the numerator:
• 8 ≥ 4, so using the second piece, <em>g</em> (8) = -0.5(8) + 8 = 4
• 2 < 4, so <em>g</em> (2) = 5(2) + 1 = 11
Then the average rate of change is
(<em>g</em> (8) - <em>g</em> (2)) / (8 - 2) = (4 - 11) / 6 = -7/6
I wrote the domain and range in interval notation, not sure if that’s how you’re asked to do it. This is how I was taught to state the domain/range of a graph.
Answer:
<em>The volume of the cube is </em> 
<em>cu in.</em>
Step-by-step explanation:
<u>The Volume of a Cube</u>
Let's have a cube of side length a. The volume of the cube is:
The cube of the image has a side length of
Simplifying the expression of the base by converting the negative exponent in the numerator to the denominator:
Now find the volume:
Applying the exponents:
The volume of the cube is 
cu in.
Answer:C
Step-by-step explanation:11m is the radius and to find the diameter u multiply 11 x 2 which is radius x 2 which = 22
