Step-by-step explanation:
Pick two points on the line and determine their coordinates
Select one to be (x1, y1) and the other to be (x2, y2)
Finally use the slope intersect equation to calculate the slope:
<em>Formula-</em><em> </em>
<em>y = mx + b </em>
<em></em>
Hope this helps, let me know if you need more information, I'll be glad to help! :)
Answer:
B
Step-by-step explanation:
given y = kx
To find k use the x and y values of the coordinate point given (- 5, 3)
k = 
= 
= - 
Answer:
the dimensions that minimize the cost of the cylinder are R= 3.85 cm and L=12.88 cm
Step-by-step explanation:
since the volume of a cylinder is
V= π*R²*L → L =V/ (π*R²)
the cost function is
Cost = cost of side material * side area + cost of top and bottom material * top and bottom area
C = a* 2*π*R*L + b* 2*π*R²
replacing the value of L
C = a* 2*π*R* V/ (π*R²) + b* 2*π*R² = a* 2*V/R + b* 2*π*R²
then the optimal radius for minimum cost can be found when the derivative of the cost with respect to the radius equals 0 , then
dC/dR = -2*a*V/R² + 4*π*b*R = 0
4*π*b*R = 2*a*V/R²
R³ = a*V/(2*π*b)
R= ∛( a*V/(2*π*b))
replacing values
R= ∛( a*V/(2*π*b)) = ∛(0.03$/cm² * 600 cm³ /(2*π* 0.05$/cm²) )= 3.85 cm
then
L =V/ (π*R²) = 600 cm³/(π*(3.85 cm)²) = 12.88 cm
therefore the dimensions that minimize the cost of the cylinder are R= 3.85 cm and L=12.88 cm
Answer: I used to, but it got boring
Step-by-step explanation:
