To find the exact volume of a cylinder, you must remember the rule - π r2 h
If 6 inches was the base (radius from the center of the cylinder to the edge) and 9 inches was the height, the equation would look like this -
π (6 squared in) (9 in)
Remember that the radius is squared so the equation would then look like
π (36 in) (9in)
Now you multiply 36 and 9 which would give you 324, then your equation would look like this
324 π
The final step is to multiply 324 by π which would be the volume of a cylinder.
Answer: C
Step-by-step explanation:
(fog)(3) is the same as finding f(g(3)). To solve, we first need to solve g(3). then, we solve for f(g(3)).
g(3)=5(3) [multiply]
g(3)=15
Now, we plug in 15 into f(x).
f(g(3))=-2(15)+8 [multiply]
f(g(3))=-30+8 [add]
f(g(3))=-22
Now, we know that C is the correct answer.
Average price=total price/total weight, let p be the average price:
p=(3*4+5*4*(100-20)/100)/8
p=(12+16)/8
p=$3.50/lb
Answer:
1. y ax
|
A-------------------------------B
|
------------C---------------------
|
|__________________x ax
for this, your A might be (0,5), B (5,5), C (2,2).
parallel means railroad tracks: same slope, different intercepts.
line AB in this case has a slope of 0, intercept (0,5), so y₁=0x+5 or just y₁=5
the line passing through C also has slope 0, but intercept (0,2), so y₂=0x+2 or just y₂=2
2. perpendicular means that the slopes of two lines multiply out to -1. If line AB has, for example, a slope of 2/3, then the line passing through C would have slope -3/2 (negative reciprocal). To make things easier have either point A or B be on the x or y axis
khan academy has some helpful videos :)
https://www.khanacademy.org/math/geometry/hs-geo-analytic-geometry/hs-geo-parallel-perpendicular-eq/v/perpendicular-lines
