Answer:
Options (1) and (2)
Step-by-step explanation:
In 3-dimensional geometry,
Skew lines are lines which do not intersect and are not parallel.
From the given triangular prism,
Option (1). RS and TU
Sides RS and TU are neither parallel nor intersect each other.
Therefore, these lines are skew lines.
Option (2).QR and SV
Since QR and SV neither intersect nor parallel,
These lines are the skew lines.
Option (3) RS and RU
Since RS and RU intersect at R therefore, they are not the skew lines.
Option (4).RS and UV
Since RS and UV are the parallel lines therefore, they are not the skew lines .
Lets x is price of noble fir trees and y - is price for douglas fir trees
students got 5x+3y=420$ on friday
and 12x+9y=1080
now we need just solve the system of equations
5x+3y=420 - multiply by 3
12x+9y=1080
15x+9y=1260
12x+9y=1080
substract second equation from first
15x-12x=1260-1080
3x=180
x=60$ - the price of noble fir trees
put value x=60 in first equation 5x+3y=420
5*60+3y=420
300+3y=420
3y=120
y=40$ - price of Douglas fir trees
Answer: Noble fir trees cost $60 and Douglas fir trees cost $40
If <em>f(x)</em> = 1/<em>x</em> - 2, then the average rate of change between <em>x</em> = 4 and <em>x</em> = 8 is
(<em>f</em> (8) - <em>f</em> (4)) / (8 - 4) = ((1/8 - 2) - (1/4 - 2)) / 4 = -1/16
If you meant <em>f(x)</em> = 1/(<em>x</em> - 2), then it would be
(<em>f</em> (8) - <em>f</em> (4)) / (8 - 4) = (1/(8 - 2) - 1/(4 - 2)) / 4 = (1/6 - 1/2) / 4 = -1/12
<em>Make sure to check which one is the correct function!</em>
The common ratio is 8
example:
-3 x 8 = -18
-18 x 8= -108
so on so on
Answer:
When 6x - 4 = 8, x = 2.
Step-by-step explanation:
6x - 4 = 8
Add 4 to both sides.
6x = 12
Divide both sides by 6.
x = 2
Proof:
6x - 4 = 8
Substitute variable.
6(2) - 4 = 8
Multiply 6 and 2.
12 - 4 = 8
Subtract 4 from 12.
8 = 8
