Answer:
Step-by-step explanation:
18 is negative so add 18 to both sides
2x=8
so the answer would be 4 because
4 x 2= positive 8
hope that helped!!
Find the vertical asymptotes, if any, for the following function. Please show all of your work.
f(x) = -2x(x+2)/4x�-3x-7
**
f(x) = -2x(x+2)/4x�-3x-7
To find vertical asymptotes, set denominator to 0, then solve for x
4x^2-3x-7=0
(x+1)(4x-7)=0
x+1=0
x=-1
4x-7=0
4x=7
x=7/4
..
Vertical Asymptotes:
x=-1
x=7/4
6yd
8yd a =48sq yd (6×8=48)
4yd
12yd a=48sq yd (4×12=48)
well, we know the ceiling is 6+2/3 high, and Eduardo has 4+1/2 yards only, how much more does he need, well, is simply their difference, let's firstly convert the mixed fractions to improper fractions and then subtract.
![\stackrel{mixed}{6\frac{2}{3}}\implies \cfrac{6\cdot 3+2}{3}\implies \stackrel{improper}{\cfrac{20}{3}} ~\hfill \stackrel{mixed}{4\frac{1}{2}}\implies \cfrac{4\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{9}{2}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{20}{3}-\cfrac{9}{2}\implies \stackrel{using ~~\stackrel{LCD}{6}}{\cfrac{(2\cdot 20)-(3\cdot 9)}{6}}\implies \cfrac{40-27}{6}\implies \cfrac{13}{6}\implies\blacktriangleright 2\frac{1}{6} \blacktriangleleft](https://tex.z-dn.net/?f=%5Cstackrel%7Bmixed%7D%7B6%5Cfrac%7B2%7D%7B3%7D%7D%5Cimplies%20%5Ccfrac%7B6%5Ccdot%203%2B2%7D%7B3%7D%5Cimplies%20%5Cstackrel%7Bimproper%7D%7B%5Ccfrac%7B20%7D%7B3%7D%7D%20~%5Chfill%20%5Cstackrel%7Bmixed%7D%7B4%5Cfrac%7B1%7D%7B2%7D%7D%5Cimplies%20%5Ccfrac%7B4%5Ccdot%202%2B1%7D%7B2%7D%5Cimplies%20%5Cstackrel%7Bimproper%7D%7B%5Ccfrac%7B9%7D%7B2%7D%7D%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill%5C%5C%5C%5C%20%5Ccfrac%7B20%7D%7B3%7D-%5Ccfrac%7B9%7D%7B2%7D%5Cimplies%20%5Cstackrel%7Busing%20~~%5Cstackrel%7BLCD%7D%7B6%7D%7D%7B%5Ccfrac%7B%282%5Ccdot%2020%29-%283%5Ccdot%209%29%7D%7B6%7D%7D%5Cimplies%20%5Ccfrac%7B40-27%7D%7B6%7D%5Cimplies%20%5Ccfrac%7B13%7D%7B6%7D%5Cimplies%5Cblacktriangleright%202%5Cfrac%7B1%7D%7B6%7D%20%5Cblacktriangleleft)
complete question:
Find the volume of the cylinder.
Either enter an exact answer in terms of π or use 3.14 for π and round your final answer to the nearest hundredth.
Radius = 4 and height = 8.
Answer:
volume of a cylinder ≈ 402.30 unit cube
Step-by-step explanation:
The question you to find the volume of a cylinder with a height of 8 and radius of 4. The volume of a cylinder can be represented below
volume of a cylinder = πr²h
where
h = height
r = radius
h = 8
r = 4
volume of a cylinder = πr²h
volume of a cylinder = π × 4² × 8
volume of a cylinder = π × 16 × 8
volume of a cylinder = 128 π
volume of a cylinder = 128 × 3.143
volume of a cylinder = 402.304
volume of a cylinder ≈ 402.30 unit cube
