Name the constant of proportionality for the equation below: y = -2/3 x
1 answer:
Answer:
Step-by-step explanation:
When variable y is said to be proportional to another variable x, it is written as:
To introduce the equality sign, we introduce what is called the constant of proportionality, say k and write the above as:
y=kx
Comparing the given equation:
We can see that our constant of proportionality:
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the trunk is really just a half-cylinder on top of a square, with a depth of 2 meters
what's the volume? well, easy enough, take the volume of the cylinder, then half it
take the volume of the rectangular prism, and then add them both
now.. for the surface area...
now.. for the surface area of the prism... well
is really just 6 rectangles stacked up to each other at the edges
so... get the area of the lateral rectangles, and the one at the bottom, skip the rectangle atop, because is the one overlapping the cylinder, and is not outside, and thus is not surface area then
for the lateral ones, you have a front of 1x1, a back of 1x1 and a left of 1x2 and a right of 1x2, and then the one at the bottom, which is a 1x2
then add both surface areas, and that's the surface area of the trunk
the trunk is really just a half-cylinder on top of a square, with a depth of 2 meters
what's the volume? well, easy enough, take the volume of the cylinder, then half it
take the volume of the rectangular prism, and then add them both
now.. for the surface area...
now.. for the surface area of the prism... well
is really just 6 rectangles stacked up to each other at the edges
so... get the area of the lateral rectangles, and the one at the bottom, skip the rectangle atop, because is the one overlapping the cylinder, and is not outside, and thus is not surface area then
for the lateral ones, you have a front of 1x1, a back of 1x1 and a left of 1x2 and a right of 1x2, and then the one at the bottom, which is a 1x2
then add both surface areas, and that's the surface area of the trunk