Answer: A RECTANGLE ( It has four sides, its opposite sides are congruent and all its angles measure 90 degrees)
Step-by-step explanation:
For this exercise it is important to remember the definition of a "Cross section".
In Geometry a "Cross section" is defined as that shape obtained when a three-dimensional figure is sliced by a plane.
In this case, according to the information given in the exercise, the cheese block has the shape of a cylinder. This is the three-dimensional figure.
Observe in the picture attached in the exercise that the cylinder-shaped cheese block is cut through perpendicular to its base.
By definition, when this perpendicular cut happens, the shape obtained is a Quadrilateral which has four equal angles that measure 90 degrees and whosepposite sides are parallel have equal length.
Therefore, you can conclude that the two-dimensional cross section that would be created by slicing the cylinder-shaped cheese block perpendicular to its base,is: A RECTANGLE.
Answer:
5. -18x^3y^4 +54x^2y^4
6. 6x^2 -40x +50
Step-by-step explanation:
Use the distributive property. The factor outside parentheses multiplies each term inside parentheses.
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<h3>5.</h3>
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<h3>6.</h3>
Answer:
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Step-by-step explanation:
f(x) = (3/2)ˣ
g(x) = (2/3)ˣ
These are examples of exponential equations:
y = a bˣ
If b > 1, the equation is exponential growth.
If 0 < b < 1, the equation is exponential decay.
So f(x) is an example of exponential growth, and g(x) is an example of exponential decay.
Also, 2/3 is the inverse of 3/2, so:
g(x) = (3/2)^(-x)
So more specifically, f(x) and g(x) are reflections of each other across the y-axis.
