Answer:
6.907
Step-by-step explanation:
Add 2z to both sides. you get
6k-2z+2z=12+2z
6k=2z+12
divide both sides by 6
6k/6=2z+12 divide by 6
your answer is k=1/3z+2
i hope it helps!
See image for naming of the sides: the medians are
ab, bc, and ac; and sides are a, b, and c
Pick one median, say, ab. The following are true:
ab < a
ab < b
->
ab + ab < a + b
ab < 0.5*(a+b) | add 0.5*c to the right hand side (does not change inequality)
ab < 0.5(a+b+c) = half perimeter
so ab < half perimeter
Same argument for bc, and ac holds.
Each cross section has a diameter equal the horizontal distance between the two "halves" of the parabola. We have
y = 4x² ⇒ x = ±√y/2
so the diameter for some given y would be √y/2 - (-√y/2) = √y.
The volume of a cross section with thickness ∆y is then
π/2 (√y/2)² ∆y = π/8 y ∆y
The total volume of the solid would then be
Answer:
Step-by-step explanation: