A right rectangular prism and an oblique triangular prism are both 12 centimeters tall and have the same volume. What statement
2 answers:
Answer:
D. The horizontal cross-sections of the prisms at the same height must have the same area.
Step-by-step explanation:
The formula for the volume of both the rectangular prism and the oblique triangular prism is:
Which is area of the base times the height, if they both have the same height then the area of the base must be the same, since the figures are different, as the base of one is rectangular and the other is a triangle, you can not have the same measurements for the width or the vertical crossed sections, since the area is distributed different.
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Answer:
f(x) is linear
g(x) is exponential
Step-by-step explanation:
A linear function will always have the same rate of change between equally distant points, while an exponential function will have an increasingly large rate of change between equally distant points.
First, look at f(x). All these points are equally distant at 2 units apart on the x-axis, so they can be directly compared:
All of these points are the same distance apart on the y, so f(x) must be a linear function.
Now look at g(x). These are also all equally distant at only 1 unit apart.
These are very clearly not the same distance apart on the y, so g(x) must be the exponential function.