physical representation of undefined terms in real life?
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Measure its side in terms of feet. Multiply that measure by itself to give the area in square feet.
If a line has an undefined slope, that means it's vertical. Unlike a horizontal line, which is perfectly level and has no slope, a vertical line's slope is SO steep that it can't be measured; hence, it's undefined. One real-world example would be a cliff. Most of the time, cliffs are not perfectly vertical, so they do have a slope. This means that, if you were to accidentally fall off a cliff (not you particularly), at some point, the cliff itself would break your fall and you might still survive, albeit with some broken bones and stuff. But some cliffs are perfectly vertical, in which case, if you fall from it, you'll keep falling until you hit the ground and, well, you probably won't like that too much. Another example is a rope. You may have had to climb a rope in gym class when you were younger. Unless you were in really good shape, you probably had a hard time climbing to the top, noticing you had to really wrap your legs around the rope and grip tightly just so you wouldn't fall off and use a good deal of strength to pull yourself up. These ropes were hung vertically and thus have undefined slope. If they had a defined slope as opposed to an undefined slope, you haven't needed to have held on as tightly or pull as strongly to make your way up the rope. Hope that helps!
Vertical lines are lines that go straight up and down, with no horizontal component. Some real examples of vertical lines include the edges of a door frame, the corner of a bookshelf, and the sides of a skyscraper. These lines have a slope that is undefined, as they have no horizontal change.
I dont know how to draw it on here but one parallelogram is a square
Volume of a cylinder: V = pi * h * r^2 (where h=height and r=radius) So, plugging into the volume equation both possible scenarios and setting them equal to each other gives: pi * (r + x)^2 * h = pi * r^2 * (h + x) The pi's cancel and the squared terms give: (r^2 + 2rx + x^2) * h = (h * r^2) + (x * r^2) Simplifying and swapping terms: hx^2 + 2hrx - xr^2 = 0 hx^2 + x(2hr - r^2) = 0 hx^2 = -x(2hr - r^2) x = -(2hr - r^2)/h = (r^2 - 2hr)/h