3<em>z</em> = (2<em>w</em> - 5)³
When <em>z</em> = 9, we have
27 = (2<em>w</em> - 5)³ → 3 = 2<em>w</em> - 5 → <em>w</em> = 4
Differentiate both sides with respect to <em>t</em> :
3 d<em>z</em>/d<em>t</em> = 3 (2<em>w</em> - 5)² d<em>w</em>/d<em>t</em>
d<em>z</em>/d<em>t</em> = (2<em>w</em> - 5)² d<em>w</em>/d<em>t</em>
Plug in everything you know and solve for d<em>z</em>/d<em>t</em> :
d<em>z</em>/d<em>t</em> = 3² • (1/3)
d<em>z</em>/d<em>t</em> = 3
Answer:
A) (1,-2)
Step-by-step explanation:
the answer to a system of equations is where the 2 lines intersect and that would be at (1,-2)
Answer:
x=1
Step-by-step explanation:
ktftyk
To rewrite it in biconditional form, we write it as follows:
Two line are parallel if and only if they are equidistant from each other.
Biconditionals<span> are true when both statements (facts) have the exact same truth value. Hope this answers the question. Have a nice day.</span>
Answer:
Cylinder. The explanation is not very exact, more intuition and whatnot, so let me know if there was anything you did not understand.
Step-by-step explanation:
This is assuming the rectangle has its sides parallel with the x and y axes.
Let's try to eliminate them one by one. A cone does not seem likely since it has slanted sides, and spinning the two straight sides will keep the sides straight. This can be used for the pyramid as well. Let me know if this doesn't make sense though.
Now for me I would imagine that rectangle being a sheet of paper, or metal. if you set that sheet atop some dirt or something and then rotated it, what shape would be drawn into the material? It would be a circle. So we know the 3d shapewill have a base of a circle, which leaves us with a cylinder. Again, let me know if this method did not make sense.
