Otis constructed a rectangle with a compass and straightedge.

Mathematics

1 answer:

trapecia [35]4 years ago

6 0

<span>B. square
</span><span>C. Draw arcs on the circle with the compass set at r units.

</span>

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Gnesinka [82]

Answer:

Step-by-step explanation:

The highest power of x here is 3, so this is a third degree polynomial. Since the coefficient of the highest power term is +, we know that the graph approximates that of the parent function y = x^3, and that this graph begins in Quadrant III, enters Quadrant I and continues to move upward in Quadrant I.

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Step-by-step explanation:

A positive times a negative number equals a negative number, but a negative times a negative equals a positive number

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RideAnS [48]

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What is the average rate of change of f(x) = -x2 + 3x + 6 over the interval –3

Rufina [12.5K]

Answer:

$\frac{\Delta y}{\Delta x} =\frac{f(x_2)-f(x_1)}{x_2-x_1} =\frac{6-(-12)}{3-(-3)} =\frac{18}{6}= 3$

Step-by-step explanation:

To find the average rate of change of a function over a given interval, basically you need to find the slope. The mathematical definition of the slope is very similar to the one we use every day. In mathematics, the slope is the relationship between the vertical and horizontal changes between two points on a surface or a line. In this sense, the slope can be found using the following expression:

$Average\hspace{3}rate\hspace{3}of\hspace{3}change=Slope=\frac{y_2-y_1}{x_2-x_1} =\frac{f(x_2)-f(x_1)}{x_2-x_1}$