The net of a rectangular prism is shown below. The surface area of each face is labeled. Which values represent the dimensions i
n centimeters of the rectangular prism?
2 answers:
Answer:
<h2>The dimensions are 3, 4 and 6 centimeters.</h2>Step-by-step explanation:
Notice that the surface of 24 square centimeters is formed by 6 times 4, which gives 24 square centimeters.
The 12 square centimeres surface is formed by 3 times 4, which gives 12.
The 18 square centimeters surface is formed by 3 times 6, which gives 18.
Therefore, the three dimensiosn to form the prism are 3 cm x 4 cm x 6 cm.
Where 6 cm is the height, 3 cm and 4 cm are the width and length.
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Answer:
(a) none of the above
Step-by-step explanation:
The largest exponent in the function shown is 2. That makes it a 2nd-degree function, also called a quadratic function. The graph of such a function is a parabola -- a U-shaped curve.
The coefficient of the highest-degree term is the "leading coefficient." In this case, that is the coefficient of the x² term, which is 1. When the leading coefficient of an even-degree function is positive, the U curve has its open end at the top of the graph. We say it "opens upward." (When the leading coefficient is negative, the curve opens downward.)
This means the bottom of the U is the minimum value the function has. For a quadratic in the form ax²+bx+c, the horizontal location of the minimum on the graph is at x=-b/(2a). This extreme point on the curve is called the "vertex."
This function has a=1, b=1, and c=3. The minimum of the function is where ...
x = -b/(2·a) = -1/(2·1) = -1/2
This value is not listed among the answer choices, so the correct choice for this function is ...
none of the above
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The attached graph of the function confirms that the minimum is located at x=-1/2
_____
<em>Additional comment</em>
When you're studying quadratic functions, there are few formulas that you might want to keep handy. The formula for the location of the vertex is one of them.
The ODE appears to be
It's separable; we can write
and integrating both sides yields